Question

If the triangles below are similar, determine which of the statements below are TRUE. (There may be more than one correct answer.)

Similar Triangles


Question 5 options:


A.) BC¯¯¯¯¯≅YZ¯¯¯¯¯


B.) BC¯¯¯¯¯≅XY¯¯¯¯¯¯


C.) Side XY = 26



D.) Side BC = 48



E.) ∠A≅∠X

Answer 1

Explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Answer 2

The answers are:

Side XY = 26

BC ≅ XY

Side BC = 48