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What’s the answer to this? Im confused

What’s the answer to this? Im confused-example-1
User Andrea Richiardi
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1 Answer

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12 votes

Answer:

see attached

∆GHI ≅ ∆KJL

Explanation:

You want to identify corresponding parts of the two triangle and write their congruence statement.

Corresponding parts

It is all about pattern matching.

An angle in each triangle is marked 50°. Those are corresponding angles, since neither triangle has any other 50° angles.

An angle in each triangle is marked 30°. Those are corresponding angles. They will get a different hash mark than the 50° angle. (Here, we've used a double arc.)

A side in each triangle is marked 23 (units). Those are corresponding sides, since they both lie between the previously identified angles.

The vertex marked 50° is a good place to start writing the congruence statement. Around the triangle from shortest segment to longest segment, the vertex order on the left is GHI. On the right, it is KJL. It is important to choose an order and use the same one in both triangles. (We could have started with the smallest angle: ∆IGH≅∆LKJ.)

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Additional comment

These triangles are congruent by the ASA theorem. The marked angles (A) are at either end of the marked side (S): A–S–A.

What’s the answer to this? Im confused-example-1
User Zudov
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