Question

HELP PLEASE
The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar.

Theorem: If two triangles are similar, the corresponding sides are in proportion.

Answer 1

Using the given theorem, which two statements help to prove that if segment PR is x, then x2 = 97?

Segment PR x segment PS = 16
Segment PR x segment SR = 36

Segment PR x segment PS = 36
Segment PR x segment SR = 81

Segment PR x segment PS = 16
Segment PR x segment SR = 81

Segment PR x segment PS = 81
Segment PR x segment SR = 16

Answer 2

@jim_thompson5910

Answer 3

@zepdrix

Answer 4

how far did you get?

Answer 5

i dont know, what i have to do

Answer 6

i think its B

Answer 7

@jim_thompson5910

Answer 8

@JoannaBlackwelder

Answer 9

@ganeshie8

Answer 10

because "Triangles PQS, QRS, and PRQ are similar"

we can set up this equation

PR/PQ = PQ/PS

and then cross multiply to get

PR*PS = PQ*PQ

PR*PS = 4*4 ... replace PQ with 4 since PQ = 4

PR*PS = 16

Answer 11

see how I did that?

Answer 12

yes got it, so then what?

Answer 13

so its a or c

Answer 14

@jim_thompson5910

Answer 15

help please @JoannaBlackwelder @JMark @jim_thompson5910

Answer 16

because those triangles are similar, you can also say

PR/QR = QR/SR

what can you do with that info?

Answer 17

cross multiply?

Answer 18

PR*QR QR*SR? @jim_thompson5910

Answer 19

not quite

Answer 20

but yes you do cross multiply

Answer 21

to get

PR*SR = QR*QR

Answer 22

then what?

Answer 23

then you place the numbers? look for a number to change the letters

Answer 24

9*9? @jim_thompson5910

Answer 25

so PR*SR = 81

Answer 26

so its C right

Answer 27

@jim_thompson5910

Answer 28

correct

Answer 29

can you help me with one more

Answer 30

@jim_thompson5910

Answer 31

Look at the figure shown below:

Answer 32

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

Answer 33

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 34

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 35

@jim_thompson5910

Answer 36

i dont know what to do

Answer 37

@ganeshie8 please help

Answer 38

please limit to one question per post

Answer 39

if i post it again can you help me?

Answer 40

wil try, opening a new question bumps ur question in the top and makes others see it and increase ur chances of getting help quick... so... its for your good only :P

Answer 41

ok thanks