Angle Bisector Proportion

• 10

• 9

• 6

• 5

Tags

CCSS.HSG.CO.C.9

Solve the proportion.

• p=31.3

• p=308

• p=924

• p=532

State the Angle Bisector Theorem.

• The angle bisector of a triangle has no effect on the opposite side.

• The angle bisector of a triangle divides the opposite side into segments that are proportional to the other two sides of the triangle.

• The angle bisector of a triangle divides the opposite side into segments that are equal to the other two sides of the triangle.

• The angle bisector of a triangle divides the opposite side into segments that are random lengths.

Tags

CCSS.HSG.CO.C.9

Prove that the angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

• Pythagorean theorem

• Law of Sines

• Law of Cosines

• Angle bisector theorem

Tags

CCSS.HSG.CO.C.9

If a line divides two sides of a triangle proportionally, what can you say about that line?

• Angle bisector

• Median

• Perpendicular bisector

• Altitude

Tags

CCSS.HSG.SRT.B.4

How can you apply angle bisector proportionality to find unknown side lengths in a triangle?

• Use the Pythagorean theorem to find the unknown side lengths.

• Count the number of angles in the triangle to determine the unknown side lengths.

• Apply the Law of Sines to calculate the unknown side lengths.

• Use the angle bisector theorem to set up and solve proportions to find the unknown side lengths.

Tags

CCSS.HSG.CO.C.9

In triangle XYZ, if XZ is the angle bisector of angle YXW, and XY = 8, YZ = 10, find the length of XZ.

• 12

• 5

• 6

• 4

Tags

CCSS.HSG.CO.C.9

In triangle PQR, if PS is the angle bisector of angle P, and PQ = 12, PR = 15, find the length of PS.

• 6

• 10

• 9

• 13

Tags

CCSS.HSG.CO.C.9

In triangle ABC, if AD is the angle bisector of angle A, and AB = 10, AC = 14, find the length of AD.

• 12

• 5

• 3

• 7

Tags

CCSS.HSG.CO.C.9

If a line divides two sides of a triangle proportionally, what can you conclude about the angles formed by that line with the two sides?

• Acute

• Congruent

• Parallel

• Perpendicular

Tags

CCSS.HSG.SRT.B.4