Step-by-step Answer
PAGE: 392SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional.

Since , .

By third angle theorem .

Thus, all the corresponding angles are congruent.

Since each triangle is an equilateral triangle, measure of each side of a triangle is same.

Now determine whether corresponding sides are proportional.

Find the ratios of the measures of the corresponding sides.


The ratios of the measures of the corresponding sides are equal, and the

corresponding angles are congruent, so .

The pairs of figures are similar. .


"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."


"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

Simply chose a support option

My status

JOIN US ON: is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only