Segments in Similar Triangles

Front

What is the Triangle Angle Bisector Theorem?

Back

The Triangle Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into two segments that are proportional to the lengths of the other two sides.

Tags

CCSS.HSG.CO.C.9

Front

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

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine the length of a median in a triangle?

Back

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about the ratios of their sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC to triangle DEF are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How can you use proportions to find an unknown side in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides, then cross-multiply and solve for the unknown side.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the length of an angle bisector in a triangle?

Back

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of the median in a triangle?

Back

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, and it divides the triangle into two smaller triangles of equal area.

Tags

CCSS.HSG.CO.C.10

Front

How do you apply the Triangle Angle Bisector Theorem to find unknown lengths?

Back

Use the theorem to set up a proportion based on the lengths of the segments created by the angle bisector, then solve for the unknown length.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between the sides of a triangle and its median?

Back

Tags

CCSS.HSG.CO.C.10