Find all values of x that make the triangles congruent. Explain. When x=___, AB=CD=___ and AC=BD= ___, which means that AB≅CD and AC≅BD, BC≅BC by the Reflexive Property of Congruence. So, the triangles are congruent by the SSS Congruence Theorem.

I got x=5, but I'm confused about the AB=CD=___ and AC=BD=___. Could someone explain?

Yes, you were correct with x=5. AB=CD=25 and AC=BD=23

Step-by-step explanation:

You already have x=5.

The first question is AB=CD=__ so you can just look at AB and you see it says 5x. You just substitute in the 5 for the x because you already got that. 5 times 5 = 25 and there is your first answer.

AC=BD=__ is your next question and you just look at AC and see "5x-2" and substitute in the x again. So you'll have 5(5)-2 which is 25-2 and your answer will be 23.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x