Question

Find the values of x and y that make these triangles congruent by HL.

A. x = 2, y = 2
B. x = 4, y = 4
C. x = 5, y = 5
D. x = 3, y = 3

Will medal and fan if correct!!!! :)

Answer 1

no diagram, but set the corresponding legs or angles equal to form some equations to solve

Answer 2

for 2 variables, need 2 equations

Answer 3

Sorry there is a diagram, I forgot to add it. One sec

Answer 4

Seems like you got help :D Goodluck!

Answer 5

ok, what does "by HL " mean ?

Answer 6

By Hypotenuse-Leg Theorem

Answer 7

oh, ok

Two triangles
ABC and AED

the corresponding parts are congruent (the same)

Answer 8

Right

Answer 9

They already give you that BC = ED, those two dashes mean same

Answer 10

That is first equation

BC = ED
y = x

Answer 11

My second equation is 2x + 3 = 3y + 1

Answer 12

right,

y = x
and
2x + 3 = 3y +1

Answer 13

But I don't know what to do next. :(

Answer 14

the first equation tells you that y=x, you can replace y in the second by y=x, x

2x + 3 = 3y + 1
2x + 3 = 3x + 1

Answer 15

If y = (something)

You can replace y with all the (something) anywhere in the other equation, to reduce to one variable

Answer 16

you good? on solving that now?

Answer 17

I think the answer is either A or B. When checked on the calc they both answers for x and y are the same.

Answer 18

yes they have to be, remember the first equation , y = x

Answer 19

Ik, I mean A, the equations both equal 7, but for B. they both equal 13, but C and D are different answers. Thus leaving A and B.

Answer 20

the first equation tells you that y=x, you can replace y in the second by y=x

2x + 3 = 3y + 1
2x + 3 = 3x + 1

you can now solve that for x, after replaceing y by y=x


2x + 3 = 3x + 1

Answer 21

3x - 2x = 3 - 1

x = 2

Answer 22

I got it! Thanks that helped a lot!!

Answer 23

welcome, if they dont give you y = x, but y = 5x + 3,. just put the 5x+3 in for y and solve,
Substitution
then use that value in either original equation to calculate the other variable