Look at these triangles. A figure contains six labeled triangles of different sizes. Triangle A has one obtuse angle, two angles that appear congruent, and two sides that appear congruent. Triangle B has three angles that appear to be congruent and three sides that appear to be congruent. Triangle C has three angles that appear to be congruent and three sides that appear to be congruent. Triangle D has one obtuse angle and two angles that appear to have different measures. The three sides all appear to have different lengths, with the side opposite the obtuse angle appearing to be the longest side. Triangle E has three angles that appear to be congruent and three sides that appear to be congruent. Triangle F appears to have one right angle and all three side lengths appear to be different. Which triangles are similar? (Select all that apply.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Look at these triangles.
A figure contains six labeled triangles of different sizes.
  • Triangle A has one obtuse angle, two angles that appear congruent, and two sides that appear congruent.
  • Triangle B has three angles that appear to be congruent and three sides that appear to be congruent.
  • Triangle C has three angles that appear to be congruent and three sides that appear to be congruent.
  • Triangle D has one obtuse angle and two angles that appear to have different measures. The three sides all appear to have different lengths, with the side opposite the obtuse angle appearing to be the longest side.
  • Triangle E has three angles that appear to be congruent and three sides that appear to be congruent.
  • Triangle F appears to have one right angle and all three side lengths appear to be different.
Which triangles are similar? (Select all that apply.) 
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