# Lesson 2

Inscribed Angles

- Let’s analyze angles made from chords.

### 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 \(C\)?

160 degrees

140 degrees

100 degrees

90 degrees

### Problem 4

Find the values of \(x, y,\) and \(z\).

### Problem 5

Match the vocabulary term with the label.

### 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?

\((4,0)\)

\((5,6)\)

\((2,4)\)

\((4,2)\)

### 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.

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

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

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

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