Quarter2 Independent Assignment #7 on Solving similar triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

How do you find the missing length in similar triangles?

Back

Use the proportion of the lengths of corresponding sides. If triangle A has sides a, b, c and triangle B has sides x, y, z, then a/x = b/y = c/z.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 and 8 respectively, what is the ratio of their corresponding sides?

Back

The ratio is 4:8 or 1:2.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If two triangles are similar, how do their areas compare?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 6 and side PQ is 3, what is the scale factor from triangle PQR to triangle XYZ?

Back

The scale factor is 2 (6/3).

Front

What is the definition of a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If the lengths of two corresponding sides of similar triangles are 5 and 15, what is the ratio of their corresponding angles?

Back

The ratio of their corresponding angles is 1:1, as corresponding angles in similar triangles are always equal.

Front

How do you solve for x in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for x.