The document defines various terms related to circles such as radius, secant, tangent, chord, and diameter. It also defines types of arcs (minor, major) and angles (central, inscribed) in circles. It presents the arc addition postulate and provides 4 practice problems involving finding missing measures of arcs and angles using relationships defined for circles.

2. DRILL
BASED ON THE DEFINITIONS OF TERMS ABOVE AND THE FIGURE AT THE RIGHT, NAME THE FOLLOWING.
1. A CIRCLE: _________
2. A RADIUS: ________
3. A SECANT: ________
4. A TANGENT: ________
5. A CHORD: __________
6. A DIAMETER: ________

3. MINOR ARCS
ARCS THAT MEASURE LESS THAN 180°.
𝐴𝐵

4. MAJOR ARCS
ARCS THAT MEASURE MORE THAN 180°.
𝐴𝐶𝐵

5. CENTRAL ANGLES
AN ANGLE WHOSE VERTEX IS AT THE CENTER OF THE CIRCLE. ITS MEASURE IS ALWAYS EQUAL TO THE
INTERCEPTED ARC.
.

6. INSCRIBED ANGLES
AN ANGLE WHOSE VERTEX LIES ON THE CIRCUMFERENCE OF THE CIRCLE. ITS MEASURE IS HALF OF THE
MEASURE OF THE INTERCEPTED ARC.

7. ARC ADDITION POSTULATE
GIVEN A CIRCLE WITH ARCS AB AND BC, 𝑚𝐴𝐶 + 𝑚𝐶𝐵 = 𝑚𝐴𝐶𝐵.

8. LET’S TRY!
1. 𝑚∠𝑆𝑀𝐶 = 56°; 𝑚𝑆𝐶 = (3𝑥 + 10)°; FIND THE VALUE OF 𝑥 AND 𝑚∠𝑆𝑄𝐶.

9. LET’S TRY!
2. 𝑚∠𝐷𝐹𝐸 = (3𝑥 + 3)°; 𝑚𝐷𝐸 = (4𝑥 − 22)°; FIND THE VALUE OF 𝑥, 𝑚𝐷𝐸 AND 𝑚∠𝐷𝐺𝐸.

10. LET’S TRY!
3. 𝑚∠𝑀𝑇𝐴 = (14𝑥 + 20)°; 𝑚𝐻𝑀 = (25𝑥 + 4)°; FIND THE VALUE OF 𝑥, 𝑚∠𝑀𝑇𝐻 AND 𝑚𝑀𝐴.

11. LET’S TRY!
4. 𝑚𝐻𝐼 = 𝑚𝐼𝐾 = 11𝑥° AND 𝑚𝐻𝐾 = 14𝑥°; FIND THE VALUE OF 𝑥, 𝑚𝐻𝐼 AND 𝑚𝐻𝐾.