Quiz about Geo EOC Review #6 (Circles)

Question 1

Triangle ABC is inscribed in circle O. Segment AB is the diameter of the circle. If $$m\angle ABC=17.5$$ , what is the measure of $$\angle BAC?$$

Accepted Answer

72.5

Answer

17.5

Answer

90

Answer

107.5

Question 2

Which statement must be true about the figure?

Accepted Answer

$$m\angle ADC\ =\ M\angle ABC=\ 90\degree$$

Answer

$$m\angle BCD\ =\ M\angle BAD=\ 90\degree$$

Answer

$$m\angle ABC\ =\ M\angle BCD\ =\ 90\degree$$

Answer

$$m\angle BAD\ =\ M\angle ADC=90\degree$$

Question 3

A support structure is being created to stabilize circular playground. The outline of the support structure is represented as quadrilateral ABCD as shown. The park planner needs to know the relationship between the opposite angles of the inscribed quadrilateral. Which of the following relationships are correct? Select All That Apply!

Accepted Answer

$$m\angle D\ +\ m\angle B\ =\ 180\degree$$

Answer

$$m\angle A\ +\ m\angle B\ =\ 180\degree$$

Answer

$$m\angle A\ +\ m\angle C\ =\ 180\degree$$

Answer

$$m\angle C\ +\ m\angle B\ =\ 180\degree$$

Answer

$$m\angle A\ +\ m\angle D\ =\ 180\degree$$

Question 4

n the diagram below of circle O, chords $$\overline{AB\ }and\ \overline{CD}$$ intersect at E. If CE = 3, ED = 2x+8, and AE = 4x-3, and EB = 4? What is the value of x?

Accepted Answer

3.6

Answer

1

Answer

5

Answer

10.25

Question 5

In the figure, $$\overline{AB}$$ and $$\overline{AC}$$ are secants. What is the value of x?

Accepted Answer

4

Answer

-3

Answer

2

Answer

13

Question 6

In the figure, $$\overline{AB}\ and\ \overline{AC}\ $$ are secants. Find the length of $$\overline{AC}$$ .

Accepted Answer

16

Answer

3

Answer

9

Answer

18

Question 7

$$\overline{BC}\ and\ \overline{CD}$$ are tangents to the circle at B and D, respectively. Angle BGD is inscribed in the circle. Which equation shows the relationship between m $$\angle BCD\ and\ m\ \angle BGD$$ ?

Accepted Answer

$$m\ \angle BCD\ =\ 180-2x$$

Answer

$$m\ \angle BCD\ =\ \frac{360-x}{2}$$

Answer

$$m\ \angle BCD\ =\ 360-2x$$

Answer

$$m\ \angle BCD\ =\ \frac{180-x}{2}$$

Question 8

A satellite orbits Mars. When it reaches S, it is about 12,000 km above the planet. What is the value of x, the measure of the arc that is visible to a camera in the satellite?

Accepted Answer

$$142\degree$$

Answer

$$76\degree$$

Answer

$$138\degree$$

Answer

$$90\degree$$

Question 9

What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?

Accepted Answer

$$\left(x-2\right)^2+\left(y-3\right)^2=9$$

Answer

$$\left(x-2\right)^2+\left(y-3\right)^2=3$$

Answer

$$\left(x-5\right)^2+\left(y-3\right)^2=3$$

Answer

$$\left(x-5\right)^2+\left(y-3\right)^2=9$$

Question 10

What is the equation of a circle that is centered at (0, 5) and has a diameter of 18 units?

Accepted Answer

$$x^2+\left(y-5\right)^2=81$$

Answer

$$x^2+\left(y+5\right)^2=32$$

Answer

$$x^2+\left(y-5\right)^2=32$$

Answer

$$x^2+\left(y+5\right)^2=81$$

Question 11

A circle is drawn on the coordinate plane below. What is the equation of the circle shown?

Accepted Answer

$$\left(x-1\right)^2+\left(y+2\right)^2=9$$

Answer

$$\left(x+1\right)^2+\left(y+2\right)^2=9$$

Answer

$$\left(x+1\right)^2+\left(y-2\right)^2=3$$

Answer

$$\left(x-1\right)^2+\left(y+2\right)^2=3$$

Question 12

A circle centered at the origin passes through A (-3, 4). What is the equation of the line tangent to the circle at point A?

Accepted Answer

$$\left(y-4\right)\ =\ \frac{3}{4}\ \left(x+3\right)$$

Answer

$$\left(y-4\right)\ =\ \frac{4}{3}\ \left(x+3\right)$$

Answer

$$\left(y+4\right)\ =\ \frac{4}{3}\ \left(x-3\right)$$

Answer

$$\left(y+4\right)\ =\ \frac{3}{4}\ \left(x-3\right)$$

Question 13

Which equation could be used to solve for A, the area of the shaded sector in the circle below?

Accepted Answer

$$A=\frac{n}{360}\cdot\pi r^2$$

Answer

$$A=\frac{n}{360}\cdot2\pi r^{ }$$

Answer

$$A=n+\pi r^2$$

Answer

$$A=n\pi r^2$$

Question 14

This diagram shows a circle with an inscribed right triangle and some of its measurements, in units. Based on the diagram, what is the circumference, in units, of the circle?

Accepted Answer

$$10\pi$$

Answer

$$5\pi$$

Answer

$$14\pi$$

Answer

$$25\pi$$

Geo EOC Review #6 (Circles)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics