Question

Use the image to answer the question.

A coordinate plane shows two triangles, Triangle ABC and EGH.

What is the sequence of transformations needed to move triangle ABC
to triangle EGH
to show that the triangles are congruent?

(1 point)
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Remaining Attempts : 3
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Answer 1

I don't see the diagram — could you upload the image or type the coordinates of A, B, C and E, G, H? With that I can give the exact sequence.

If you want to figure it out yourself, here are the steps to determine the required congruence transformations:

1. Identify corresponding vertices (which vertex of ABC goes to E, which to G, which to H). You can match by equal side lengths or angle measures or by position in the picture.

2. Compute the translation vector needed to send one corresponding vertex of ABC to its match (e.g., vector AE). Apply that translation to all three vertices.

3. After the translation, check if the translated triangle lines up (same orientation and direction of corresponding sides) with EGH. If not, compute the rotation about the matching vertex needed to align one side with its corresponding side (angle and direction). Apply that rotation.

4. If after translation and rotation the triangle is a mirror image (orientation reversed), a reflection is required instead of a rotation (or in addition). Find the appropriate reflection line (e.g., the perpendicular bisector of a pair of corresponding points or a coordinate axis shown in the picture).

5. Verify the final image matches all three vertices E, G, H.

If you send the picture or coordinates I’ll produce the specific sequence (e.g., “translate by (x,y), then rotate ___° about ___, then reflect across ___”).