Angle Bisector Proportion
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
10
9
6
5
Tags
CCSS.HSG.CO.C.9
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the proportion.
p=31.3
p=308
p=924
p=532
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
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