Answered

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Activity 2. Intercept Me so I Won't Fall!
Perform this activity, refer to the given procedures that follows.
Procedure:
1. Draw a circle whose radius is 3 cm. Mark the center and label it C.
2. Extend the radius to form a diameter of 6 cm. Mark and label the
endpoints of the diameter with M and T.
3. On the semicircle, mark and label three points O, U, and N.
4. Draw three different angles whose vertices are O, U, and N.
respectively, and whose sides contain M and T.
5. Find the measure of each of the following angles using a protractor.
a. ZMOT b. MUT
c. MNT
6. What can you say about the measures of the angles? What
statements can you make about an inscribed angle intercepting a
semicircle? How would you compare the measures of inscribed
angles intercepting the same arc?​

Sagot :

LokiJNLidn

Answer:

5.)

a.) <MOT = 90°

b.) <MUT = 90°

c.) <MNT = 90°

6.) • The measures of every angle is the same with the measurement of 90°.

•Any angle inscribed in a semi-circle is a right angle. And the measures of right angles are 90°.

• The measure of an inscribed angle is half the measure of its intercepted arc. Since the measures of semi-circle is 180° then, the measures of inscribed angles is automatically 90°

Step-by-step explanation:

1. The line CT refers to the radius, which is 3 cm long.

2. The line MT is the diameter of the circle, which is 6 cm long.

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