Geo Ch. 4 Review

A triangle has an angle that measures 53° and an angle that measures 102°. What is the measure of the third angle of the triangle?

• 155°

• 49°

• 25°

• 12°

Tags

CCSS.8.G.A.5

What is the value of x if △ABC is equilateral?

• -8

• -1/8

• 1/2

• 2

Tags

CCSS.HSG.CO.C.11

What is m∠2?

• 50

• 70

• 110

• 120

Tags

CCSS.7.G.B.5

What is m∠4?

• 10

• 60

• 100

• 120

Tags

CCSS.7.G.B.5

Which triangles are congruent in the figure?

• △ABC ≅ △EBD

• △ABE ≅ △CBD

• △AEB ≅ △CBD

• △ABE ≅ △CDB

Tags

CCSS.HSG.SRT.B.5

If △CJW ≅ △AGS, m∠A = 50, m∠J = 45, and m∠S = 16x + 5, what is the value of x?

• 17.5

• 11.875

• 6

• 5

Tags

CCSS.HSG.CO.B.7

Are the pair of triangles is congruent? If yes, include the theorem or postulate that applies.

• yes; LA

• yes; HL

• yes; HA

• no

Tags

CCSS.HSG.SRT.B.5

A triangular-shaped roof of a house has congruent legs. What is the measure of each of the two base angles?

• 25

• 50

• 100

• 120

Tags

CCSS.8.G.A.5

Given: L is the midpoint of ̅𝐽𝑀̅̅̅. ̅𝐽𝐾̅̅ ∥ ̅𝑁𝑀̅̅̅̅

Prove: △JKL ≅ △MNL

Proof:

Statements Reasons

1. L is the midpoint of ̅𝐽𝑀̅̅̅̅. 1. Given

2. 𝐽𝐿̅ ≅ 𝑀𝐿 2. Definition of midpoint

3. ̅𝐽𝐾̅̅ ∥ ̅𝑀𝑁̅̅̅̅ 3. Given

4. ∠JKL ≅ ∠MNL 4. Alt. int. are ≅.

5. ∠JLK ≅ ∠MLN 5. (Question 9)

6. △JKL ≅ △MNL 6. (Question 10)

• definition of midpoint

• corresponding angles

• vertical angles

• alternate interior angles

Tags

CCSS.HSG.SRT.B.5

Given: L is the midpoint of ̅𝐽𝑀̅̅̅. ̅𝐽𝐾̅̅ ∥ ̅𝑁𝑀̅̅̅̅

Prove: △JKL ≅ △MNL

Proof:

Statements Reasons

1. L is the midpoint of ̅𝐽𝑀̅̅̅̅. 1. Given

2. 𝐽𝐿̅ ≅ 𝑀𝐿 2. Definition of midpoint

3. ̅𝐽𝐾̅̅ ∥ ̅𝑀𝑁̅̅̅̅ 3. Given

4. ∠JKL ≅ ∠MNL 4. Alt. int. are ≅.

5. ∠JLK ≅ ∠MLN 5. (Question 9)

6. △JKL ≅ △MNL 6. (Question 10)

• AAS

• ASA

• SAS

• SSS

Tags

CCSS.HSG.SRT.B.5