MTH 210: Fundamentals of Geometry – Entire Class Solution
MTH 210: Fundamentals of Geometry
MTH 210 Week 1 Discussion – Inductive vs Deductive Reasoning
Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students.
Due Thursday
Respond to the following in a minimum of 175 words:
This week we learn about the foundations of geometry. Geometry uses various modes of thinking. Describe inductive and deductive reasoning. Provide some examples from everyday life that compare and contrast these two ways of thinking?
Due Monday
Reply to at least 2 of your classmates. Be constructive and professional in your responses.
MTH 210 Week 2 Discussion – Triangles
Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students.
Due Thursday
Respond to the following in a minimum of 175 words:
This week, we learn about triangles. Triangles have many properties that are consistent and can be described. Which characteristic of triangles did you learn about this week that was most interesting? Why? What real world applications might there be to the characteristic?
Due Monday
Reply to at least 2 of your classmates. Be constructive and professional in your responses.
MTH 210 Week 3 Discussion – Pythagorean Theorem
Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students.
Due Thursday
Respond to the following in a minimum of 175 words:
This week we examine the Pythagorean Theorem. What might be some every day applications of the Pythagorean Theorem? Provide an example in your explanation. How might knowing how to apply the Pythagorean Theorem help you in your future career or everyday life? Provide an example.
Due Monday
Reply to at least 2 of your classmates. Be constructive and professional in your responses.
MTH 210 Week 4 Discussion – Circles
Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students.
Due Thursday
Respond to the following in a minimum of 175 words:
This week we learned about circles. Choose one of the characteristics of circles that is discussed this week and explain what you found interesting about this characteristic? Think of a real world example and explain how this understanding informs your choice.
Due Monday
Reply to at least 2 of your classmates. Be constructive and professional in your responses.
MTH 210 Week 5 Discussion – Prisms
Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students.
Due Thursday
Respond to the following in a minimum of 175 words:
This week we learn about solid geometry. What are some real-world examples of prisms at home or at work? How would you determine the volume and surface area of those figures?
Due Monday
Reply to at least 2 of your classmates. Be constructive and professional in your responses.
MTH 210 Week 1 MyMathLab Checkpoint
The purpose of the MyMathLab Checkpoint is to assess your understanding of weekly learning objectives.
Prerequisite Assignment: MyMathLab Study Plan for Weekly Checkpoint
Click on the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click MyMathLab Week 1 Checkpoint.
Important Notes: You must earn at least 60% of the Mastery Points in the weekly MyMathLab Study Plan, before you may start the weekly Checkpoint. It is highly recommended that you earn all Mastery Points in the weekly MyMathLab Study Plan Checkpoint. You have one attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.
MTH 210 Week 1 MyMathLab Study Plan for Weekly Checkpoint
This assignment allows you to get the necessary practice to fully comprehend the weekly learning objectives through guided instructions, videos, and links to the textbook in case you get stuck. These assignments prepare you to be successful on the weekly checkpoint and final.
Access the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click Study Plan for the weekly Checkpoint.
Click the green Practice button next to the first un-mastered objective.
Complete the practice problems until you feel ready for a quiz.
Click the Close button. Return to the Study Plan for the weekly Checkpoint.
Click the Quiz Me button. MTH 210
Correctly answer the questions to earn the Mastery Point (MP). There may be 2-3 questions per Quiz Me.
Note: If you do not correctly answer the questions in the Quiz Me, you must click Practice and successfully complete at least one practice problem before you can retake the Quiz Me. You can follow this process and attempt each Quiz Me as often as necessary.
After earning the Mastery Point for the first objective, continue working in the Study Plan using the same process described above until you have earned all Mastery Points for the week.
Important Note: You must earn at least 60% of the Mastery Points this week before moving on to the Checkpoint. It is highly recommended that you earn 100% of the Mastery Points before moving on to the Checkpoint.
1.3 Measuring Segments
Find lengths of segments.
Solve applications.
1.4 Measuring Angles
Measure and classify angles. MTH 210
3.2 Conditional Statements
Identify the hypothesis and the conclusion.
Write and find truth values of statements.
3.4 Deductive Reasoning
Use deductive reasoning to solve problems.
3.5 Reasoning in Algebra and Geometry
Write a two column proof.
3.6 Proving Angles Congruent
Use the vertical angle theorem, complements, and supplements.
Write a proof.
MTH 210 Week 2 MyMathLab Checkpoint
The purpose of the MyMathLab Checkpoint is to assess your understanding of weekly learning objectives.
Prerequisite Assignment: MyMathLab Study Plan for Weekly Checkpoint
Click on the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click MyMathLab Week 2 Checkpoint.
Important Notes: You must earn at least 60% of the Mastery Points in the weekly MyMathLab Study Plan, before you may start the weekly Checkpoint. It is highly recommended that you earn all Mastery Points in the weekly MyMathLab Study Plan Checkpoint. You have one attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.
MTH 210 Week 2 MyMathLab Study Plan for Weekly Checkpoint
This assignment allows you to get the necessary practice to fully comprehend the weekly learning objectives through guided instructions, videos, and links to the textbook in case you get stuck. These assignments prepare you to be successful on the weekly checkpoint and final.
Access the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click Study Plan for the weekly Checkpoint.
Click the green Practice button next to the first un-mastered objective.
Complete the practice problems until you feel ready for a quiz.
Click the Close button. Return to the Study Plan for the weekly Checkpoint.
Click the Quiz Me button.
Correctly answer the questions to earn the Mastery Point (MP). There may be 2-3 questions per Quiz Me.
Note: If you do not correctly answer the questions in the Quiz Me, you must click Practice and successfully complete at least one practice problem before you can retake the Quiz Me. You can follow this process and attempt each Quiz Me as often as necessary.
After earning the Mastery Point for the first objective, continue working in the Study Plan using the same process described above until you have earned all Mastery Points for the week. MTH 210
Important Note: You must earn at least 60% of the Mastery Points this week before moving on to the Checkpoint. It is highly recommended that you earn 100% of the Mastery Points before moving on to the Checkpoint.
4.2 Properties of Parallel Lines
Use properties of parallel lines to find angle measures.
4.3 Proving Lines Parallel
Use parallel lines to determine angle measures.
5.1 Congruent Figures
Use the properties of congruence to find measures of angles and sides.
5.2 Triangle Congruence by SSS and SAS
Give the postulate that proves two triangles are congruent.
5.3 Triangle Congruence by ASA and AAS
Give the postulate that proves two triangles are congruent.
5.5 Isosceles and Equilateral Triangles
Solve applications. MTH 210
5.6 Congruence in Right Triangles
Use the HL theorem to show congruence of right triangles.
7.1 The Polygon Angle-Sum Theorems
Find the sum of the measures of the exterior angles of a polygon.
Combine theorems to perform other calculations.
7.2 Properties of Parallelograms
Use relationships among sides and angles of parallelograms.
View EED 416 Elementary Methods: Mathematics full answers.
MTH 210 Week 3 MyMathLab Checkpoint
The purpose of the MyMathLab Checkpoint is to assess your understanding of weekly learning objectives.
Prerequisite Assignment: MyMathLab Study Plan for Weekly Checkpoint
Click on the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click MyMathLab Week 3 Checkpoint. MTH 210
Important Notes: You must earn at least 60% of the Mastery Points in the weekly MyMathLab Study Plan, before you may start the weekly Checkpoint. It is highly recommended that you earn all Mastery Points in the weekly MyMathLab Study Plan Checkpoint. You have one attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.
MTH 210 Week 4 MyMathLab Study Plan for Weekly Checkpoint
This assignment allows you to get the necessary practice to fully comprehend the weekly learning objectives through guided instructions, videos, and links to the textbook in case you get stuck. These assignments prepare you to be successful on the weekly checkpoint and final.
Access the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click Study Plan for the weekly Checkpoint.
Click the green Practice button next to the first un-mastered objective.
Complete the practice problems until you feel ready for a quiz.
Click the Close button. Return to the Study Plan for the weekly Checkpoint.
Click the Quiz Me button. MTH 210
Correctly answer the questions to earn the Mastery Point (MP). There may be 2-3 questions per Quiz Me.
Note: If you do not correctly answer the questions in the Quiz Me, you must click Practice and successfully complete at least one practice problem before you can retake the Quiz Me. You can follow this process and attempt each Quiz Me as often as necessary.
After earning the Mastery Point for the first objective, continue working in the Study Plan using the same process described above until you have earned all Mastery Points for the week.
Important Note: You must earn at least 60% of the Mastery Points this week before moving on to the Checkpoint. It is highly recommended that you earn 100% of the Mastery Points before moving on to the Checkpoint.
10.1 Area of Parallelograms and Triangles
Find the area of a parallelogram.
Find the area of a triangle.
Find the missing dimension.
Find the area of an irregular figure.
10.3 Areas of Regular Polygons
Find the area of a polygon given the apothem, side, or radius.
Use special triangles to find the area of a polygon. MTH 210
11.3 Tangent Lines
Use properties of a tangent to a circle.
11.4 Chords and Arcs
Use congruent chords, arcs, and central angles.
Use perpendicular bisectors to chords.
11.5 Inscribed Angles
Find the measure of an inscribed angle or the arc it intercepts.
11.6 Angle Measures and Segment Lengths
Find the measures of angles and arcs formed by chords, secants, and tangents.
Find the lengths of segments associated with circles.
MTH 210 Week 4 MyMathLab Checkpoint
The purpose of the MyMathLab Checkpoint is to assess your understanding of weekly learning objectives.
Prerequisite Assignment: MyMathLab Study Plan for Weekly Checkpoint
Clickon the MyMathLab Access link.
Click Homework and Tests in MyMathLab at the top-left of the screen.
Click MyMathLab Week 4 Checkpoint.
Important Notes: You must earn at least 60% of the Mastery Points in the weekly MyMathLab Study Plan, before you may start the weekly Checkpoint. It is highly recommended that you earn all Mastery Points in the weekly MyMathLab Study Plan Checkpoint. You have one attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.
View MTH 110: History of Mathematics complete answers.
MTH 210 Week 5 MyMathLab Study Plan for Final Exam
Please note that all weekly objectives are included for you to practice from the study plan in this prerequisite assignment. You should have already mastered the majority of those objectives in previous study plan weekly assignments.
The objectives are presented for you to study for the final examination which covers content from the entire course. You are encouraged to master any un-mastered objectives. You must have already demonstrated mastery over at least 60% of the total objectives before you can begin the Final Exam.
The purpose of the MyMathLab® Study Plan is to This assignment allows students to get the necessary practice to fully comprehend the weekly learning objectives through guided instructions, videos, and links to the textbook if you get stuck. Review what you have learned in Weeks 1-4. It will allow you to go back and rework problems you may have struggled with so you can have a better understanding of those topics before taking the Final Examination. MTH 210
- Click theMyMathLab® Access
- Click Homework and Testsin MyMathLab® at the top-left of the screen.
- Click Study Plan for Final Examination.
- Click the green Practicebutton next to the first un-mastered objective.
- Completepractice problems until you feel ready for a quiz.
- Click the Closebutton and return to the Study Plan for the Final Exam.
- Click the Quiz Me
- Correctly answer the questions to earn the Mastery Point (MP). There may be 2-3 questions per Quiz Me.
- Important Note:If you do not correctly the questions in the Quiz Me, you must click Practice and successfully complete at least one practice problem before you can retake the Quiz Me. You can follow this process and attempt each Quiz Me as often as necessary. MTH 210
- After you have earned the Mastery Point for the first objective, continue working in the Study Plan using the same process described above until you have earned all Mastery Points for the week.
Important Note: You must earn at least 60% of the Mastery Points in the Study Plan for Final Examination before moving on to the Final Examination. It is highly recommended that you earn 100% of the Mastery Points before moving on to the MyMathLab® Final Examination.
1.3 Measuring Segments
Find lengths of segments.
Solve applications.
1.4 Measuring Angles
Measure and classify angles.
3.2 Conditional Statements
Identify the hypothesis and the conclusion.
Write and find truth values of statements.
3.4 Deductive Reasoning
Use deductive reasoning to solve problems.
3.5 Reasoning in Algebra and Geometry
Write a two column proof.
3.6 Proving Angles Congruent
Use the vertical angle theorem, complements, and supplements.
Write a proof. MTH 210
4.2 Properties of Parallel Lines
Use properties of parallel lines to find angle measures.
4.3 Proving Lines Parallel
Use parallel lines to determine angle measures.
5.1 Congruent Figures
Use the properties of congruence to find measures of angles and sides.
5.2 Triangle Congruence by SSS and SAS
Give the postulate that proves two triangles are congruent.
5.5 Isosceles and Equilateral Triangles
Solve applications. MTH 210
5.6 Congruence in Right Triangles
Use the HL theorem to show congruence of right triangles.
6.6 Inequalities in One Triangle
Use the triangle inequality theorem to find the possible side lengths of a triangle.
7.1 The Polygon Angle-Sum Theorems
Find the sum of the measures of the exterior angles of a polygon.
Combine theorems to perform other calculations. MTH 210
7.2 Properties of Parallelograms
Use relationships among diagonals of parallelograms.
7.3 Proving That a Quadrilateral is a Parallelogram
Determine values for which a quadrilateral is a parallelogram.
7.4 Properties of Rhombuses, Rectangles, and Squares
Use properties of diagonals of rhombuses and rectangles.
7.5 Conditions for Rhombuses, Rectangles, and Squares
Use properties of diagonals of rhombuses and rectangles.
7.6 Trapezoids and Kites
Verify and use properties of trapezoids and kites.
8.1 Ratios and Proportions
Write a ratio. MTH 210
Solve a proportion.
8.2 Similar Polygons
Identify similar polygons.
Apply similar polygons.
9.2 The Pythagorean Theorem and Its Converse
Use the Pythagorean theorem.
10.1 Area of Parallelograms and Triangles
Find the area of a triangle.
Find the area of an irregular figure.
10.3 Areas of Regular Polygons
Use special triangles to find the area of a polygon.
11.3 Tangent Lines
Use properties of a tangent to a circle. MTH 210
11.4 Chords and Arcs
Use congruent chords, arcs, and central angles.
Use perpendicular bisectors to chords. MTH 210
11.5 Inscribed Angles
Find the measure of an inscribed angle or the arc it intercepts.
11.6 Angle Measures and Segment Lengths
Find the measures of angles and arcs formed by chords, secants, and tangents.
Find the lengths of segments associated with circles.
12.1 Space Figures and Cross Sections
Describe the relationships between the faces, edges, and vertices of polyhedra.
Identify and sketch cross sections of solid objects. MTH 210
12.2 Surface Areas of Prisms and Cylinders
Find the surface area of a prism or a cylinder.
12.3 Surface Areas of Pyramids and Cones
Find the surface area of a pyramid or a cone.
12.4 Volumes of Prisms and Cylinders
Find the volume of a prism or a cylinder.
12.5 Volumes of Pyramids and Cones
Find the volume of a pyramid or a cone. MTH 210
Solve applications and extensions involving volume.
