Practice 10.4

Practice 10.4

​Please make sure you read the slides before completing the questions.

• AN INSCRIED ANGLE WILL HAVE ITS VERTEX ON A CIRCLE

• THE ARC THAT LIES INSIDE OF THE ANGLE IS CALLED THE INTERCEPTED ARC

Multiple Select

HOW MANY CIRCLES SHOW AN INSCRIBED ANGLE.

• 2

• 3

• 1

• AN INSCRIBED ANGLE IS HALF OF THE INTERCEPTED ARC

• TO FIND THE ANGLE MEASURE, TAKE HALF OF THE INTERCEPTED ARC

• TO FIND THE ARC MEASURE, MULTIPLY THE ANGLE BY 2

Multiple Choice

What is the value of x?

• 102

• 204

• 51

Multiple Choice

What is the value of x?

• 23

• 46

• 11.5

• IF 2 ANGLES INTERCEPT THE SAME ARC, THOSE ANGLES ARE CONGRUENT

• THE BLUE ANGLE AND THE RED ANGLE ARE EQUAL SINCE THEY BOTH INTERCEPT THE SAME GREEN ARC

Fill in the Blanks

• OPPOSITE ANGLES (angles that don't share a side and are diagonal from each other) OF AN INSCRIBED ANGLE ARE SUPPLEMENTARY

• E + G = 180

• F + D = 180

Multiple Choice

What is the measure of angle A?

• 34°

• 180°

• 112°

• 79°

Multiple Choice

What is the measure of z?

• 120

• 100

• 60

• 80

Multiple Choice

What is the measure of y?

• 120

• 60

• 80

• 100

Multiple Choice

Which setup would you use to find the value of c?

• c = 2c-6

• c + 2c - 6 = 180

• IF A RIGHT TRIANGLE IS INSCRIBED IN A CIRCLE, THEN THE DIAMETER IS ALSO THE HYPOTENUSE OF THE TRIANGLE.

• IF ONE SIDE OF A TRIANGLE INSCRIBED IN A CIRLCE IS THE DIAMETER, THEN THE TRIANGLE IS A RIGHT TRIANGLE.

Since this triangle has a side that is also the diameter, this is a RIGHT TRIANGLE.

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To solve for the variable, we can ignore the circle.

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The right angle here is angle Y.

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Fill in the Blanks

Fill in the Blanks

Multiple Choice

What setup can be used to solve for x?

• 8x = 10x

• 8x + 10x = 180

Multiple Select

Which 2 angles are congruent?

• angle B & and angle D

• angle C and angle A

• angle B and and A

Multiple Select

Which setups can you use to solve for x?

• 31x + 3 = 192

• 31x + 3 = 384

• 62x + 6 = 196

• 31x + 3 = 96