Question

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?

Answer 1

Answer:

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.

Answer 2

Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

Given that,

• X = 5.
• We need to find out the AB = CD, And AC = BD.

Based on the above information, the calculation is as follows:

AB = CD

Here AB = 5x

= 5(5)

= 25

So AB = CD = 25

Now

AC = BD

Here

AC = 5x - 2

= 5(5) - 2

= 25 - 2

=23

So AC = BD = 23

Therefore we can conclude that Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

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