Geometry 4-3 Triangle Congruence by ASA and AAS

by Matthew Richardson

| 18 QuestionsNote 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.

1

1

10 pts

Solve It! Oh no! The school's photocopier is not working correctly. The copies all have some ink missing. The two photocopies shown are of the same geometry worksheet. Which triangles are congruent?

△ABC and △DEF

△TUV and △DEF

△LMN and △ABC

△TUV and △LMN

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

20 pts

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

4

20 pts

Problem 3 Got It? Complete the proof on the canvas.

5

6

5

10 pts

Problem 4 Got It? Are △PAR and △SIR congruent?

Yes

No

7

7

10 pts

A

B

C

D

8

8

10 pts

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

12

12

10 pts

Error Analysis: Your friend asks you for help on a geometry exercise. Shown is your friend's paper. What error did your friend make? Explain.

13

10 pts

Reasoning: Suppose ∠E ≅ ∠I and segment FE ≅ segment GI.

What else must you know in order to prove △FDE ≅ △GHI by ASA? by AAS?

14

15

14

10 pts

Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

SSS

SAS

15

10 pts

Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

SSS

SAS

16

10 pts

Vocabulary Builder: Define corresponding in your own words.

17

17

10 pts

Use Your Vocabulary: Match corresponding angles and segments.

- segment BC
- ∠A
- segment AB
- ∠C
- segment AC
- ∠B

- ∠X
- ∠Y
- ∠Z
- segment XY
- segment YZ
- segment XZ

18

10 pts

Reflection: Math Success

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