Unit 6 EOC Review Notes

Unit 6 EOC Review Notes
- Use this Quizizz Lesson to complete the EOC notes packet for Unit 6

Multiple Choice

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Circumcenter
• Orthocenter

Multiple Choice

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Orthocenter
• Altitude

Multiple Choice

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• median
• angle bisector

Multiple Choice

C is the Centroid, AB = 30, AC = ?

• 10
• 15
• 20
• 5

Multiple Choice

Find the length of segment AG.

• x=6
• x=3
• x=9
• x=18

Multiple Choice

Find the length of AD

• 2
• 4
• 6
• 8

Multiple Choice

The incenter of a triangle is equidistant from the __________ of a triangle.

• vertices
• sides
• angle bisector
• circumcenter

Multiple Choice

What is the area formula for a circle?

• A = πr²

• A = 2πr

• A = √π

Multiple Choice

What is this the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Multiple Choice

Find the arc length of the circle. (Leave answers in terms of $$\pi$$ . Do not round your answer.)

• $$27\pi$$ km

• $$\frac{\pi}{18}$$ km

• $$15\pi$$ km

• $$\frac{45\pi}{2}$$ km

Multiple Choice

Find the arc length of the circle. (Leave answers in terms of $$\pi$$ . Do not round your answer.)

• $$27\pi$$ km

• $$\frac{\pi}{18}$$ km

• $$15\pi$$ km

• $$\frac{15\pi}{2}$$

Multiple Choice

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2
• (x + h)^2 +  (y + h)^2 = r^2
• (x - h)^2 + (y - k)^2 = r^2
• (x - h)^2 - (h - k)^2 = r

Multiple Choice

What is the equation of the circle?

• (x + 1)^2 + (y + 1)^2 = 3

• (x - 1)^2 + (y - 1)^2 = 3

• (x + 1)^2 + (y + 1)^2 = 9

• (x - 1)^2 + (y - 1)^2 = 9

Multiple Choice

Write the equation of a circle centered at the origin with a radius of 6.

• x^2 + y^2 = 6

• x^2 + y^2 = 36

• x + y = 6

• x + y = 36

Multiple Choice

Write the most simplified equation of a circle with a center of (7, 0) and a radius of 7.

• (x - ^7)^2 + y^2 = 49

• x^2 + (y - 7)^2 = 49

• (x + 7)^2 + y^2 = 49

• (x - 7)^2 + (y - 0)^2 = 49

Multiple Choice

A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).

• (x + 1)² + (y - 3)² = 5

• (x - 1)² + (y + 3)² = 25

• (x + 1)² + (y - 3)² = 25

• (x - 1)² + (y + 3)² = 5

Multiple Choice

Given: (x - 4)² + (x - 3)² = 121.

What is the radius of this circle?

• 4

• 3

• 11

• 121

Multiple Choice

Given: (x + 2)² + (y - 4)² = 41

What is the center of this circle?

• (2, 4)

• (-2, 4)

• (2, - 4)

• (-2, - 4)

Multiple Choice

Given: (x - 12)² + (y - 8)² = 25

What is the center and

the radius of this circle?

• Center: (12, 8)

  Radius = 5 units

• Center: (-12 ,8)

  Radius = 25 units

• Center: (-12,-8)

  Radius = 5 units

• Center: (12, 8)

  Radius = 25 units

Multiple Choice

inscribed angle: an angle with its vertex _____________ the circle

• at the center of
• on

Multiple Choice

Solve for x. 

• 5
• 20
• 40
• 85

Multiple Choice

The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.

• congruent to
• half
• double
• supplementary to 

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

A tangent line intersects the circle ...

• in exactly two points

• in exactly one point

• through the center

• with the diameter

Multiple Choice

Which shows a tangent line?

Multiple Choice

Using the tangent lines, find the value of x.

• 60

• 120

• 30

• 300

Multiple Choice

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not sure

Multiple Choice

The polygon circumscribes the circle. Find the perimeter.

• 78

• 84

• 72

• 86

Math Response

What is the value of x? Type the number only.

Type answer here

Correct Answer: 20

Deg^°

Rad

Multiple Choice

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

Multiple Choice

Solve for x.

• x = 32

• x = 23

• x = 30

• x = 18

Multiple Choice

Solve for x.

• x = 21

• x = 22

• x = 4

• x = 42

Multiple Choice

Solve for x.

• x = 17

• x = 15

• x = 23

• x = 11

Multiple Choice

Sove for x.

• x = 15

• x = 12

• x = 2

• x = 20

Multiple Choice

Find the length of DB

• 21

• 22

• 6

• 15

Multiple Choice

What is the difference between a tangent line and a secant line?

• A secant intersects the circle twice; a tangent touches the circle once

• A tangent intersects the circle twice; a secant touches the circle once

• A secant goes through the center of the circle; a tangent does not

• A secant is outside the circle; a tangent is inside the circle

Multiple Choice

Find the volume of the cylinder.

Round to the nearest whole number.

• 4241 $$m^3$$

• 1696 $$m^3$$

• 1130 $$m^3$$

• 283 $$m^3$$

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth.

• 400.2 ft³

• 1473.1 ft³

• 255.4 ft³

• 85.1 ft³

Multiple Choice

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

• 561.5 in³
• 267.9 in³
• 201 in³
• 803.8 in³

Multiple Choice

A sphere has the volume of 905 cm. What is the radius of the sphere rounded to the nearest whole number?

• 6
• 9
• 3
• 12

Multiple Choice

Find the volume.

• 151.2
• 163.7
• 179.1
• 186.3

Multiple Choice

Find the HEIGHT of this cylinder. Round your answer to the nearest whole number.

V = 352 yd³

r = 8 yd

• 4 yd

• 1 yd

• 2 yd

• 6 yd

Multiple Choice

Find the HEIGHT of the cone. Round your answer to the nearest whole number.

V = 628 mm³

r = 5 mm

• 26 mm

• 24 mm

• 23 mm

• 25 mm

Multiple Choice

Find the volume of the composite solid.
Use 3.14 for pi.

• 188.4 m³
• 753.6 m³

Multiple Choice

Describe the cross section.

• triangle
• rectangle
• trapezoid
• square

Multiple Choice

What shape will the horizontal cross-section of a sphere be?

• Dome
• Circle
• Ellipse
• Rectangle

Multiple Choice

What shape will the vertical cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse