Statement Reason

1. Segment ST is parallel to segment QR Given

2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent.

3. Angle SPT is congruent to angle QPR Reflexive property of angles.

4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate

5. Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5?

x:15 = 28:40

28:12 = x: (x + 15)

x + 15 = 28 + 12

28:40 = x: (x + 15)

Question

Juliet Holmes

Mathematics

17 August, 19:18

Statement Reason

1. Segment ST is parallel to segment QR Given

2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent.

3. Angle SPT is congruent to angle QPR Reflexive property of angles.

4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate

5. Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5?

x:15 = 28:40

28:12 = x: (x + 15)

x + 15 = 28 + 12

28:40 = x: (x + 15)

+3

Answers (1)

Know the Answer?

Cedric Lambert · Answer 1

Given that x = 35

35 : 15 ≠ 28 : 40

28 : 12 ≠ 35 : (35 + 15)

35 + 15 ≠ 28 + 12

28 : 40 = 35 : (35 + 15)

7 : 10 = 35 : 50

7 : 10 = 7 : 10

Therefore, the last option is the answer.