Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Geometry · Chapter 6 · Lesson 2

Practice Worksheet

Inscribed Angles

Half the central angle, wherever you stand.

11 problems · about 23 minutes · G-C.A.2

NameDate

Figure — use these to answer the problems

The circle these angles are drawn inside.

Diameter10 cm
Circumference31.42 cm
Area78.54 cm²
Circumference ÷ diameter3.14

Radius5

Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

Central 90°. Inscribed on the same arc?
Answer
Central 140°. Inscribed on the same arc?
Answer
Inscribed 35°. Central on the same arc?
Answer
Cyclic quadrilateral, one angle 85°. Its opposite, in degrees?
Answer

Build It Up

The same ideas with more to keep track of.

3 problems

Two inscribed angles on the same arc, one is 25°. The other?
Answer
Angle in a semicircle, in degrees?
Answer
7
Select every true statement about inscribed angles.
- They are half the central angle on the same arc.
- They change as the vertex moves along the circle.
- An angle in a semicircle is a right angle.
- They equal the central angle.
- Tick every box that applies.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

Central 200°. Inscribed on the same arc?
Answer
Cyclic quadrilateral, one angle 110°. Its opposite?
Answer
Halving
Central angle 80°. Inscribed angle on the same arc, in degrees?
Answer
The Semicircle
An angle inscribed in a semicircle, in degrees?
Answer