Similar Triangles Missing Measures

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

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

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

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

Back

The AA similarity criterion states that 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 side length in similar triangles?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

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

Back

The ratio of their sides is 1:2.

Front

If two triangles are similar and one side of the first triangle is 10 and the corresponding side of the second triangle is 15, what is the scale factor?

Back

The scale factor is 10:15 or 2:3.

Front

What is a proportion in the context of similar triangles?

Back

A proportion is an equation that states that two ratios are equal, often used to compare the lengths of corresponding sides of similar triangles.

Front

If the lengths of two corresponding sides of similar triangles are 5 and 20, what is the missing length if the other corresponding side is x?

Back

x = 5 * (20/5) = 20.

Front

What is the Cross-Multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If triangle XYZ is similar to triangle PQR, and XY = 6, PR = 9, what is the length of YZ if QR = 12?

Back

YZ = (6/9) * 12 = 8.