Concept Check-Similar Triangles Missing Sides

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Solve for f: If the ratio of the sides of two similar triangles is 2:3 and one side of the smaller triangle is 6, what is the corresponding side in the larger triangle?

Back

9

Front

Find side length X: Triangle A has sides 4, 6, and X. Triangle B has sides 8, 12, and 2X. What is X?

Back

6

Front

Find the length of side 2x - 2: If triangle A has a side of 10 and triangle B has a corresponding side of 18, find 2x - 2 if the ratio is maintained.

Back

18

Front

Definition: Similar Triangles

Back

Triangles that have the same shape but may differ in size; corresponding angles are equal and corresponding sides are proportional.

Front

The Ratio of Corresponding Sides in Similar Triangles

Back

The ratio of the lengths of corresponding sides of similar triangles is constant.

Front

Example of Similar Triangles: Triangle ABC and Triangle DEF

Back

If AB/DE = AC/DF = BC/EF, then triangles ABC and DEF are similar.

Front

The Angle-Angle (AA) Criterion for Similarity

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

The Side-Side-Side (SSS) Criterion for Similarity

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

The Side-Angle-Side (SAS) Criterion for Similarity

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.