Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle AB

Question

Arada [10]

3 years ago

13

Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle AB

C congruent to triangle A'B'C'? Explain your answer.

Mathematics

2 answers:

OLga [1] · Answer 1 · 2022-10-31T17:37:47+03:00

OLga [1]3 years ago

5 0

Answer: No. The triangles are not congruent because their side lengths are different.

Step-by-step explanation:

Alecsey [184] · Answer 2 · 2022-10-31T19:35:02+03:00

Answer:

See below

Step-by-step explanation:

Congruent means having the same size and shape.

If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size

This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.