Properties of Similar triangles

Front

What is the property of similar triangles regarding their corresponding angles?

Back

When figures are similar, their corresponding angles are congruent.

Front

In similar triangles, if CB / DM = AC / ? and the answer is AD, what does this represent?

Back

This represents the proportional relationship between the sides of similar triangles.

Front

How can you find the height of a tall object using similar triangles?

Back

By using a mirror and measuring the distance from the observer to the mirror and from the mirror to the object, you can set up a proportion to find the height.

Front

If two triangles are similar, what can be said about the ratios of their corresponding sides?

Back

The ratios of their corresponding sides are proportional.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Distance to object / Distance to mirror) * Height of observer.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = (DE / AB) * AC = (8 / 4) * 6 = 12.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Front

If the sides of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their sides, so (3:5)^2 = 9:25.

Front

What is the significance of the AA criterion in determining triangle similarity?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

If triangle XYZ is similar to triangle PQR and XY = 10, PR = 15, what is the length of YZ?

Back

YZ = (XY / PR) * QR, where QR is the corresponding side to YZ.