Exterior Angles and Triangle Properties

Exterior Angles and Triangle Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

In this video tutorial, the problem involves a triangle ACD inside another triangle ABC, with specific conditions on line segments and angles. The tutorial explains how to calculate angle x using geometric properties such as the exterior angle theorem, straight angle property, and properties of isosceles and equilateral triangles. The solution involves analyzing various triangles and their angles, leading to the conclusion that angle x is 30 degrees.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between line segments AD and DB in the given problem?

AD is twice DB

AD is unrelated to DB

AD is half of DB

AD is equal to DB

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of angle BCD given in the problem?

45 degrees

15 degrees

30 degrees

60 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the exterior angle theorem, what is the sum of the two opposite interior angles?

Greater than the exterior angle

Less than the exterior angle

Equal to the exterior angle

Unrelated to the exterior angle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated measure of angle CBD using the exterior angle theorem?

45 degrees

30 degrees

60 degrees

15 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total measure of a straight angle?

180 degrees

90 degrees

270 degrees

360 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of angle BDC after applying the straight angle property?

135 degrees

90 degrees

150 degrees

180 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is BDP when DP equals DB?

Scalene

Right

Equilateral

Isosceles

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