Angle Relationships and Operations

Angle Relationships and Operations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains tangent-secant angles, focusing on the rule that the angle is equal to the faraway arc minus the close arc divided by two. It provides four examples demonstrating how to calculate missing angles, solve for variables, and handle expressions and binomials in tangent-secant problems.

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rule for calculating the angle formed by a tangent and a secant?

The angle is equal to the sum of the arcs divided by two.

The angle is equal to the far away arc minus the close arc divided by two.

The angle is equal to the product of the arcs.

The angle is equal to the difference of the arcs.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the introduction, what is the similarity between tangent secant angles and secant secant angles?

Both involve multiplying the arcs.

Both involve the difference of arcs divided by two.

Both involve dividing the arcs by two.

Both involve the sum of arcs.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 1, if the far away arc is 202° and the close arc is 102°, what is the angle?

100°

50°

150°

200°

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 1, what operation is performed after subtracting the close arc from the far away arc?

Subtraction

Division by two

Multiplication

Addition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle if the far away arc is 202° and the close arc is 102°?

150°

50°

100°

200°

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 2, what is the value of x if the angle is 31° and the far away arc is 170°?

31

170

108

62

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving Example 2?

Add the arcs together.

Multiply both sides by two.

Subtract the close arc from the far away arc.

Divide the angle by two.

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