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Solving for Missing Sides with the Angle Bisector Theorem

Solving for Missing Sides with the Angle Bisector Theorem

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSG.CO.C.9, 6.RP.A.3A, 8.G.B.8

+4

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSG.CO.C.9
,
CCSS.6.RP.A.3A
,
CCSS.8.G.B.8
CCSS.7.G.A.1
,
CCSS.HSG.SRT.B.4
,
CCSS.HSG.SRT.D.10
,
CCSS.HSG.SRT.D.11
,
Mr. Allen explains how to solve for missing lengths in triangles using properties of similarity. He demonstrates setting up proportions with side lengths and solving for unknowns using cross-multiplication. The video covers two problems, highlighting the importance of congruent angles and proportionality in triangles.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the given dimensions of triangle ABC?

AB = 10, AC = 14, DC = 8

AB = 10, AC = 8, DC = 14

AB = 14, AC = 10, DC = 8

AB = 8, AC = 10, DC = 14

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to solve for the missing length in the triangle?

Congruent sides

Parallel lines

Angle bisector

Perpendicular bisector

Tags

CCSS.HSG.CO.C.9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct proportion to solve for x?

10/14 = x/8

10/x = 8/14

10/8 = x/14

14/10 = 8/x

Tags

CCSS.7.G.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the proportion 10/14?

3/2

5/7

7/5

2/3

Tags

CCSS.6.RP.A.3A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the first triangle problem?

5.7

7.2

6.4

8.1

Tags

CCSS.HSG.SRT.B.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total length of CB in the second triangle problem?

16

12

8

20

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of CD in the second triangle problem?

12

8

16

20

Tags

CCSS.8.G.B.8

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