Question

Triangle ABC is congruent to Triangle PQR.
can you tell me the value of 'y'?

Answer 1

CPCTC

Answer 2

Corrresponding Parts of Congruent Triangles are Congruent

Can you identify what corresponding sides are congruent?

Answer 3

corresponding sides of congruent triangle are proportional

Answer 4

@stupidinmath still there?

Answer 5

@giligails are you referring to similar triangles?

Answer 6

yes

Answer 7

the two triangles are conguent, given

Answer 8

@stupidinmath still there? yuhoo

Answer 9

Is this query cleared? :)

Answer 10

CB is congruent to QR
x+9 is congruent to 20
2y-1 is congruent to y+8

Answer 11

@stupidinmath yes that's it, then you can solve the value of y now, just equate it.

Answer 12

its hard when idk the other side of the triangle :| like CB & QR

Answer 13

why bother CB and QR, you are just ask to solve the value of y, and you just said earlier that "2y-1 is congruent to y+8", from here you can solve y.

Answer 14

is y=9 correct?

Answer 15

@Jaseem18

Answer 16

Yes, you got it.

Answer 17

thank you @Jaseem18 :)

Answer 18

2y-1 is congruent to y+8

means the length of both sides are the same
in other words, you can say

2y-1 = y+8
add -y to both sides
2y - y -1 = y+ -y + 8
y + -y is 0 on the right side. 2 y's take away 1 y leaves 1 y on the left side
1y - 1 = 8
now add +1 to both sides
y -1 +1= 8+1
y=9

Answer 19

thank you @phi :D

Answer 20

you are welcome