2024 PA Exterior Angles, Triangles, parallel angles

Use the figure below to find the value of x° and y°.

• A. x° = 120°, y° = 60°

• B. x° = 80°, y° = 100°

• C. x° = 60°, y° = 120°

• D. x° = 100°, y° = 80°

Tags

CCSS.8.G.A.5

In the figure below, A, B, C, and D each represent the angle measure of their respective angle positions. Which statement is NOT true about the angle measures?

• A) A + B = D

• B) C + D = A

• C) A + B = 180°

• D) B + C + D = 180°

Tags

CCSS.4.MD.C.7

What is the m∠A?

• A. m∠A = 55°

• B. m∠A = 65°

• C. m∠A = 120°

• D. m∠A = 60°

Tags

CCSS.7.G.B.5

Which statement about the angles of the figure above is FALSE?

• A. m∠B = m∠D

• B. 65° + 55° = m∠D

• C. m∠A = m∠C

• D. m∠C = 65° + 55°

Tags

CCSS.7.G.B.5

Line P || Line Q and are cut by transversal R. Given that m∠1 = 35°, which statement below is true?

• A. m∠2 = 35°

• B. m∠3 = 35°

• C. m∠5 = 145°

• D. m∠7 = 145°

Tags

CCSS.8.G.A.5

Use the figure below to answer question 6. In the figure above, lines l and n are parallel and cut by transversal t. Which angle has a corresponding relationship with ∠C?

• A. ∠A

• B. ∠E

• C. ∠F

• D. ∠G

Tags

CCSS.8.G.A.5

In the figure above, lines l and n are parallel and cut by transversal t. Which angle relationship statement is TRUE?

• A. ∠A has a vertical relationship to ∠D.

• B. ∠E has an alternate interior relationship to ∠F.

• C. ∠B has an alternate exterior relationship to ∠H.

• D. ∠B has a supplementary relationship to ∠D.

Tags

CCSS.8.G.A.5

Rachel says that the measure of x° in the figure below is 30°. For Rachel to be correct, what condition must be true about the figure?

• A. For x° = 30°, line segments lm and no must be parallel.

• B. For x° = 30°, line segments lm and no must be the same length.

• C. For x° = 30°, line segment mn must be the same length as lm.

• D. There is no condition under which x could equal 30°.

Tags

CCSS.HSG.CO.C.11

Consider the triangles below. Which statement is true? Hint: Look at the triangles. Are they visually the same size?

• A. The triangles are congruent because of angle-angle criterion.

• B. The triangles are similar because of angle-angle criterion.

• C. The triangles are neither similar nor congruent because angle-angle criterion has not been met.

• D. There is not enough information to determine similarity or congruence.

Tags

CCSS.HSG.SRT.B.5

In the figure below, ΔABC ~ ΔXYZ. What is the m∠A?

• A. m∠A = 85°

• B. m∠A = 35°

• C. m∠A = 60°

• D. m∠A = 120°

Tags

CCSS.HSG.SRT.A.2