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5. Open Response Consider triangles ABC and
JKL as shown. (Lesson 3)
(See photo)

5. Open Response Consider triangles ABC and JKL as shown. (Lesson 3) (See photo)-example-1

1 Answer

1 vote

Answer:

Yes, these two triangles are similar. Triangle similarity can be proved by the measurement of the angles. Angle A= Angle J. Angle B= Angle K and Angle C= Angle L. Triangle ABC (similar to) Triangle JKL.

Step-by-step explanation:

Triangle JKL is dilated with a scale factor of 2. (all side lengths were doubled; multiplied by 2) which is an enlargement any scale factor greater then 1 is an enlargement which means the triangle size is being increased. Any scale factor less than one is a shrinkage. The 2 triangles have the same angle but not the same side lengths.

What is a dilation:

A dilation is a geometric transformation that changes the size of a shape. The only thing the changes in a dilation is the size. It can either get bigger or smaller (angle measurements DO NOT change)

Conclusion:

triangle similarity can be proved by AA similarity postulate.

i hope this helps :)

happy geometry studying!!

User Shane Lee
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