Question

Triangle JKL is dilated from the origin at a scale factor of 10 to create triangle J′K′L′.Select the option that completes the statement:The triangles are __________ because their corresponding sides are __________ and their corresponding angles are __________.Group of answer choicescongruent; similar; similarsimilar; proportional; congruentcongruent; congruent; proportionalsimilar; congruent; proportional

Answer 1

Given: Triangle JKL is dilated from the origin at a scale factor of 10 to create triangle J′K′L′.

Required: Correct option that complete the statement.

Explanation:

Now, triangle is dilated from the origin at a scale factor of 10.

So, the sides will become larger, but angles will remain the same.

Hence, the triangles will be similar as sides will be in proption (SSS rule).

So, The triangles are similar because their corresponding sides are proptional and their corresponding angles are congurent.

Final Answer: Second group is correct answer.