Geometry 6-2 Complete Lesson: Properties of Parallelograms

By Matthew Richardson

Last updated over 3 years ago

24 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! Use the information given in the diagram. Which triangles are congruent? How do you know?

Problem 1 Got It?

Problem 2 Got It? Complete the proof on the canvas.

Problem 3 Got It?

Problem 4 Got It?

Find m∠A.
Enter only a number.

Find m∠D.
Enter only a number.

Find x.
Enter only a number.

Find AB.
Enter only a number.

Find ED.
Enter only a number.

Find FD.
Enter only a number.

Reasoning: If you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.

Compare and Contrast: What is the difference between a quadrilateral and a parallelogram?

Error Analysis: Your classmate says that QV = 10. Explain why the statement may not be correct.

Review Lesson 6-1: Match the interior angle sums on the left with the with the polygons on the right. Not all angle sums will be used.

2520
1440
720
1080
6840
4140
7200

decagon
16-gon
25-gon
40-gon

Review Lesson 4-6: What additional information do you need to prove the congruence statement below using the HL Theorem?

Review Lesson 6-3: Two consecutive angles in a parallelogram have measures x + 5 and 4x - 10. Find the measure of the smaller angle. Enter only a number.

Enter only a number.

Use Your Vocabulary: Use the diagram above to match consecutive angles.

∠A
∠C
∠D

∠F
∠E
∠D

Geometry 6-2 Complete Lesson: Properties of Parallelograms

Solve It! Use the information given in the diagram. Which triangles are congruent? How do you know?

Problem 1 Got It?

Problem 2 Got It? Complete the proof on the canvas.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Find m∠A.Enter only a number.

Find m∠D.Enter only a number.

Find x.Enter only a number.

Find AB.Enter only a number.

Find ED.Enter only a number.

Find FD.Enter only a number.

Reasoning: If you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.

Compare and Contrast: What is the difference between a quadrilateral and a parallelogram?

Error Analysis: Your classmate says that QV = 10. Explain why the statement may not be correct.

Review Lesson 6-1: Match the interior angle sums on the left with the with the polygons on the right. Not all angle sums will be used.

Review Lesson 4-6: What additional information do you need to prove the congruence statement below using the HL Theorem?

Review Lesson 6-3: Two consecutive angles in a parallelogram have measures x + 5 and 4x - 10. Find the measure of the smaller angle. Enter only a number.

Enter only a number.

Enter only a number.

Use Your Vocabulary: Use the diagram above to match consecutive angles.

Reflection: Math Success

Find m∠A.
Enter only a number.

Find m∠D.
Enter only a number.

Find x.
Enter only a number.

Find AB.
Enter only a number.

Find ED.
Enter only a number.

Find FD.
Enter only a number.