Question

Look at the figure shown below:

Answer 1

Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45.

Answer 2

Statement Reason
1. Segment ST is parallel to segment RQ Given
2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle RPQ Reflexive property of angles.
4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Answer 3

Which equation can she use as statement 5?
60:x = 48:(48 + 36)

60 + x = 48 + 36

60 - x = 48 − 36

60:(60+x) = 48:(48 + 36)

Answer 4

@ganeshie8 @jim_thompson5910 @SolomonZelman

Answer 5

@claritamontano

Answer 6

look at the immediate previous statement

Answer 7

`4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate`

you have proven that the triangles are similar, so next you would be setting up a proportion for the corresponding sides of these triangles, right ?

Answer 8

yes i guess

Answer 9

it would be A?

Answer 10

thank you @ganeshie8

Answer 11

nope

Answer 12

you're very close, but A is not the answer.
think a bit, you need to setup proportion using `corresponding sides`

Answer 13

so @ganeshie what is the answer then? i got a too

Answer 14

@ganeshie8