# Lesson 2

Inscribed Angles

### Problem 1

The measure of angle $$AOB$$ is 56 degrees. What is the measure of angle $$ACB$$?

### Problem 2

Explain the difference between central and inscribed angles.

### Problem 3

What is the measure of the arc from $$A$$ to $$B$$ that does not pass through $$C$$?

A:

160 degrees

B:

140 degrees

C:

100 degrees

D:

90 degrees

### Problem 4

Find the values of $$x, y,$$ and $$z$$.

### Solution

(From Unit 7, Lesson 1.)

### Problem 5

Match the vocabulary term with the label.

### Solution

(From Unit 7, Lesson 1.)

### Problem 6

Triangle $$ABC$$ has vertices at $$(\text-4,0), (\text-2,12),$$ and $$(12,0)$$. What is the point of intersection of its medians?

A:

$$(4,0)$$

B:

$$(5,6)$$

C:

$$(2,4)$$

D:

$$(4,2)$$

### Solution

(From Unit 6, Lesson 16.)

### Problem 7

The rule $$(x,y)\rightarrow (y,\text-x)$$ takes a line to a perpendicular line. Select another rule that takes a line to a perpendicular line.

A:

$$(x,y)\rightarrow (\text-y,\text-x)$$

B:

$$(x,y)\rightarrow (2y,2x)$$

C:

$$(x,y)\rightarrow(\text-4y, 4x)$$

D:

$$(x,y)\rightarrow(0.25y,\text-4)$$