Unit 2 Part 2 Study Guide: Parallelograms and Congruence

Name__________________________________

1. Is the following figure a parallelogram?

A. Yes, opposite sides have the same

slope. B. No, opposite sides have different

slopes.

2. Is the following figure a parallelogram?

A. Yes, opposite sides have the same

slope. B. No, opposite sides have different

slopes.

3. What rigid motions map JKL to MNO?

A. Reflect about y = -2 followed by a

translation 10 units to the left. B. 180 degree counterclockwise

rotation followed by a translation 3 units down.

C. Reflect about y = -1 followed by a translation 10 units to the right.

D. 180 degree clockwise rotation followed by a translation 4 units down.

4. In the figure below, point E is the midpoint of BD and AC.

a. Describe a rigid motion that maps

ΔBEA to ΔCED.

b. Prove that ΔBEA ≅ ΔCED referring to congruence theorems for triangles.

Unit 2 Part 2 Study Guide: Parallelograms and Congruence

5. Look at quadrilateral ABCD.

What information is needed to show that quadrilateral ABCD is a parallelogram? A. Use the slope formula to show that

segments AB and CD are perpendicular and segments AD and BC are perpendicular.

B. Use the slope formula to show that segments AB and CD have the same slope and segments AD and BC have the same slope.

C. Use the distance formula to show that diagonals AC and BD have the same length.

D. Use the distance formula to show that segments AB and AD have the same length and segments CD and BC have the same length.

6. What proves that figure ABCD is a parallelogram?

A. Diagonal BD bisects angle ABC. B. Diagonal BD is greater than

diagonal AC. C. Side AB is equal to diagonal AC. D. Diagonal BD bisects diagonal AC.

7. In this diagram, DE ≅ JI and D ≅ J.

What additional information is sufficient to prove that ΔDEF is congruent to ΔJIH? A. HF ≅ JF B. ED ≅ IH C. DH ≅ JF D. HG ≅ GI

8.

Which can be used to prove the two triangles congruent? A. ASA B. SAS C. SSS D. AAS Use the figure above to complete the congruent statement: ΔKMJ ≅ Δ___________.

Unit 2 Part 2 Study Guide: Parallelograms and Congruence

9.

Which of the following can be used to prove the two triangles congruent? A. SAS B. AAS C. HL D. ASA

Use the figure above to complete the congruence statement: ΔABC ≅ Δ_______________.

10.

Which of the following can be used to prove the two triangles congruent? A. AAS B. ASA C. SAS D. ASS

Use the figure above to complete the congruence statement: ΔPON ≅ Δ_____________.

11.

Which of the following can be used to prove the two triangles congruent? A. SAS B. AAS C. HL D. ASA Use the figure above to complete the congruence statement: ΔCDE ≅ Δ_______________.

12.

Which of the following can be used to prove the two triangles congruent? A. AAS B. ASA C. SAS D. HL

Use the figure above to complete the congruence statement: ΔPLK ≅ Δ________________.

Unit 2 Part 2 Study Guide: Parallelograms and Congruence

13.

WORD BANK

CD ∠ACD CD

Opposite sides of a parallelogram are ǁ

ΔAEB ≅ ΔCED Opposite sides of a parallelogram are ≅

∠CED AAS Alternate Interior Angles

Vertical Angles

14.

WORD BANK Alternate Interior Angles Given ASA Definition of Midpoint Vertical Angles Given CPCTC