Square ABCD: Proving Triangle Congruence with Equal Segments FG and EH

ABCD is a square.

FG=EH FG=EH

Are the two triangles shown below congruent?

AAABBBDDDCCCFFFEEEHHHGGG

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Step-by-step written solution

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1

Understand the problem

ABCD is a square.

FG=EH FG=EH

Are the two triangles shown below congruent?

AAABBBDDDCCCFFFEEEHHHGGG

2

Step-by-step solution

When we observe the lines, we see that we have two pieces of information,

The line FG=EH
Angles C=B=90

But these two pieces of information alone are not enough to prove that they are congruent.

Therefore, in the absence of additional data, the answer is no.

3

Final Answer

No

Practice Quiz

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Look at the square below:

Is a parallelogram a square?

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