Special Parts of Similar Triangles

Front

What is a Median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is an Angle Bisector?

Back

An angle bisector is a line that divides an angle into two equal parts.

Front

What is an Altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a Midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

How do you find the missing value in similar triangles?

Back

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

Front

Solve for x: If triangle ABC is similar to triangle DEF, and AB/DE = 2/3, find x if DE = 15 and AB = x.

Back

x = 10.

Front

What is the relationship between the areas of two similar triangles?

Back

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

Front

If triangle XYZ is similar to triangle PQR, and the length of XY is 8 and PQ is 4, what is the ratio of their sides?

Back

The ratio of their sides is 2:1.