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Can you prove these triangles are congruent from the information given?

Can you prove these triangles are congruent from the information given?-example-1
User Shofol
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1 Answer

3 votes

Given:

Give names to the triangles

Aim:

We need to find whether these triangles are congruent.

Step-by-step explanation:

The lines AE and DC are perbenticular.


\angle ABC\cong\angle\angle DBE\text{ since perpendicular lines makes right angles.}

Recall that the dashes on the lines show they are equal in length.


BC\cong BD\text{ Since both sides have single dashes.}


AC\cong DE\text{ Since both sides have double dashes.}

Two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.


\Delta ABC\cong\Delta DBE\text{ by SSA postulates}

Final answer:

The triangles ABC and DBE are congruent.

Can you prove these triangles are congruent from the information given?-example-1
User Max Williams
by
8.6k points

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