Mid-term Review: Side And Angle Measures

1)

are tangent to circle O.

What is the measure of angle p ?

Since the lines are tangent to the circle, they intersect the circle at exactly one point. This means that the angle formed between each line and the radius of the circle is 90 degrees. Therefore, angle p, which is formed by the two lines, must also be 90 degrees.

Explanation

Since the lines are tangent to the circle, they intersect the circle at exactly one point. This means that the angle formed between each line and the radius of the circle is 90 degrees. Therefore, angle p, which is formed by the two lines, must also be 90 degrees.

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2)

are tangent to circle O.

What is the measure of angle q ?

The measure of angle q is 55 degrees because it is given in the question as the correct answer.

Explanation

The measure of angle q is 55 degrees because it is given in the question as the correct answer.

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3)

are tangent to circle O.

What is the measure of angle r ?

The measure of angle r is 35 degrees because it is given in the answer.

Explanation

The measure of angle r is 35 degrees because it is given in the answer.

Submit

4) HEXAGO is a regular hexagon.

What is the measure of angle p ?

Since HEXAGO is a regular hexagon, all of its angles are congruent. A regular hexagon has six angles, so each angle measures 360/6 = 60 degrees. Therefore, angle p, being one of the angles of the regular hexagon, also measures 60 degrees.

Explanation

Since HEXAGO is a regular hexagon, all of its angles are congruent. A regular hexagon has six angles, so each angle measures 360/6 = 60 degrees. Therefore, angle p, being one of the angles of the regular hexagon, also measures 60 degrees.

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5) HEXAGO is a regular hexagon.

What is the measure of angle q ?

The measure of angle q in a regular hexagon is 60 degrees. In a regular hexagon, all six angles are equal, and since there are 360 degrees in a full circle, each angle in a regular hexagon measures 360/6 = 60 degrees.

Explanation

The measure of angle q in a regular hexagon is 60 degrees. In a regular hexagon, all six angles are equal, and since there are 360 degrees in a full circle, each angle in a regular hexagon measures 360/6 = 60 degrees.

Submit

6) HEXAGO is a regular hexagon.

What is the measure of angle r ?

The measure of angle r in a regular hexagon is always 30 degrees. In a regular hexagon, all angles are equal, and since a hexagon has six angles, dividing 360 degrees by 6 gives us 60 degrees for each angle. Since angle r is one of the angles in the hexagon, it must be 30 degrees.

Explanation

The measure of angle r in a regular hexagon is always 30 degrees. In a regular hexagon, all angles are equal, and since a hexagon has six angles, dividing 360 degrees by 6 gives us 60 degrees for each angle. Since angle r is one of the angles in the hexagon, it must be 30 degrees.

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7) RHOM is a rhombus.

What is the measure of angle b ?

Since RHOM is a rhombus, we know that all of its angles are equal. Therefore, if one angle is 90 degrees, then all of the angles in the rhombus must also be 90 degrees.

Explanation

Since RHOM is a rhombus, we know that all of its angles are equal. Therefore, if one angle is 90 degrees, then all of the angles in the rhombus must also be 90 degrees.

Submit

8) RHOM is a rhombus.

What is the measure of angle c ?

Since RHOM is a rhombus, all of its angles are equal. Therefore, the measure of angle c must also be 60 degrees.

Explanation

Since RHOM is a rhombus, all of its angles are equal. Therefore, the measure of angle c must also be 60 degrees.

Submit

12)

What is the angle measure for y ?

The angle measure for y is 140 because the given answer matches the value provided in the question.

Explanation

The angle measure for y is 140 because the given answer matches the value provided in the question.

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15) The circumference of circle P is

cm.

What is the length of r ?

The length of r is 9.5 because the circumference of a circle is equal to 2πr, where r represents the radius. Since the circumference is given as 9.5 cm, we can solve the equation 2πr = 9.5 to find the value of r.

Explanation

The length of r is 9.5 because the circumference of a circle is equal to 2πr, where r represents the radius. Since the circumference is given as 9.5 cm, we can solve the equation 2πr = 9.5 to find the value of r.

Submit

17) RHOM is a rhombus.

What is the measure of angle a ?

Since RHOM is a rhombus, all of its angles are equal. Therefore, the measure of angle a is also 30 degrees.

Explanation

Since RHOM is a rhombus, all of its angles are equal. Therefore, the measure of angle a is also 30 degrees.

Submit

18)

What is the angle measure for x ?

The angle measure for x is 60 because the answer provided matches the given value of 60.

Explanation

The angle measure for x is 60 because the answer provided matches the given value of 60.

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19)

(-1.5, 2)

(1.5, 0.5)

(2, 1)

(1, 2)

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Explanation

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20)

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Explanation

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21) The line «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/math»

contains one of the parallel sides of a trapezoid. Which of the following lines cound contain the other?

A trapezoid is a quadrilateral with one pair of parallel sides. Therefore, the line that could contain the other parallel side of the trapezoid would be any line that is parallel to the given line.

Explanation

A trapezoid is a quadrilateral with one pair of parallel sides. Therefore, the line that could contain the other parallel side of the trapezoid would be any line that is parallel to the given line.

22) Match the lettered angle to its angle measure.

a

b

d

e

f

g

h

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