OpenStudy (anonymous):

Look at the figure shown below.Dora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 12.

5 years ago
OpenStudy (anonymous):

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.

5 years ago
OpenStudy (anonymous):
5 years ago

OpenStudy (anonymous):

Which equation can she use as statement 5? (3x + 24) : 3x = 85 : 51 (3x + 24) : 81 = 3x : 51 (3x + 24) : 51 = 3x : 85 34 : 24 = 3x : 51

5 years ago
OpenStudy (anonymous):

k

5 years ago
OpenStudy (anonymous):

do you understand the objective, here?

5 years ago
OpenStudy (anonymous):

Well, the goal is the set up a ratio for the triangles.

5 years ago
OpenStudy (anonymous):

To fill in statement 5 for the given reason.

5 years ago
OpenStudy (anonymous):

k

5 years ago
OpenStudy (anonymous):

hmm

5 years ago
OpenStudy (anonymous):

well, we need to find out what x equals

5 years ago
OpenStudy (anonymous):

Actually, no you don't

5 years ago
OpenStudy (anonymous):

we need to find if x truly equals 12

5 years ago
OpenStudy (anonymous):

so choice 4 is wrong

5 years ago
OpenStudy (anonymous):

x=54.1875 there

5 years ago
OpenStudy (anonymous):

Again, we have no need to solve for x here. The ratio of the two triangles is 85 : 51. Can you see where I got that?

5 years ago
OpenStudy (anonymous):

hmmm

5 years ago
OpenStudy (anonymous):

yep

5 years ago
OpenStudy (anonymous):

Yeah. We're setting up a ratio for the sides of the two TRIANGLES not the two segments of a side. Knowing how I got that, can you do the same with the ide involving x without solving for x?

5 years ago
OpenStudy (anonymous):

well

5 years ago
OpenStudy (anonymous):

(3x + 24) : 3x = 85 : 51

5 years ago
OpenStudy (anonymous):

thats the only choice thats left

5 years ago
OpenStudy (anonymous):

and it seems that (3x+24) is part of the bigger triangle

5 years ago
OpenStudy (anonymous):

Yeah. DO you get why the 3x + 24 : 3x part is correct?

5 years ago
OpenStudy (anonymous):

yep

5 years ago
OpenStudy (anonymous):

good job

5 years ago
OpenStudy (anonymous):

k

5 years ago
OpenStudy (anonymous):

now

5 years ago
OpenStudy (anonymous):

for one more problem

5 years ago
OpenStudy (anonymous):

BRING IT ON! :P

5 years ago