T3 C3 S1: Angles formed by Chords, Tangents, and Secants

REVIEW - ATTENDANCE

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(Theorems and Corollaries on Inscribed Angles and Properties ​of Tangents)

Multiple Choice

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Multiple Choice

Segment BA is a diameter, solve for x.

• 180

• cannot determine

• 90

• 45

Multiple Choice

Find a and b.

• a = 74 degrees

  b = 93 degrees

• a = 93 degrees

  b = 74 degrees

• a = 87 degrees

  b = 106 degrees

• a = 106 degrees

  b = 87 degrees

Multiple Choice

A tangent to a circle is _______ to the radius drawn to the point of tangency.

• congruent
• perpendicular
• complementary

• supplementary

Multiple Choice

Given the figure, what can you conclude?

• AB and AC are not congruent.
• AB is half of AC

• AC is half of AB

• AB and AC are congruent.

Questions?

​THEOREMS ON ANGLES FORMED BY CHORDS, TANGENTS, AND SECANTS

Solve for #2 and #3

Multiple Choice

$$2.\ m\angle MPQ$$    

$$3.\ m\angle QPR$$  

• 2. 200

  3. 160

• 2. 80

  3. 100

• 2. 100

  3. 80

• 2. 400

  3. 320

​TRY THIS!

Multiple Choice

Solve for the value of x.

• 45

• 10

• 20

• 90

​TRY THIS!

Multiple Choice

Given: Arc HJ = 110 degrees and Arc LJ = 150 degrees, what is the measure of Angle K?

• $$20^0$$  

• $$40^0$$  

• $$75^0$$  

• $$55^0$$  

Draw

Answer the following items.

Draw

Answer the following items.