Honors Geometry Final Review

Trigonometry

100

Triangle ABC is a right triangle with legs A and B and Hypotenuse C. If C=10 and angle A is 53 degrees, what is the length of side B?

b=6.02

200

sin(72)=cos(x)

x=18

300

Triangle ABC is a right triangle with legs A and B and Hypotenuse C. If C=12 and A=4, what is the measure of angle A?

measure(A)=19.5 degrees

400

For triangle JKL, angle J is 28 degrees, angle K is 70 degrees, and side l is 15. What is the length of side j?

j=7.11

500

For triangle XYZ, side x = 16, side y = 20, and side z = 13. Find the measure of angle y.

measure(Y) = 86.55 degrees

Area/Volume

100

Find the area of an equilateral triangle that has side lengths of 8.

16sqrt3 or 27.71

200

Find the area of a regular pentagon with side lengths of 5.

43.01

300

What is the volume of a prism that has a height of 5 and a base parallelogram that has a height of 10 and a base of 4?

V=200 units³

400

There are 2 similar solids. Solid 1 has a surface area of 522 and solid 2 has a surface area of 58. Solid 1 has a volume of 3024. What is the volume of solid 2?

V=112 units³

500

Find the volume of a regular hexagonal pyramid if the height of the pyramid is 12 and the perimeter of the hexagonal base is 48?

V=665.1 units³

Quadratics

100

Find the vertex of y=-2x²+8x-1

(2,7)

200

Change y=6x²-5x-4 to factored form.

y=(3x-4)(2x+1)

300

Solve 0=6x²-11x-3

x=-0.24, x=2.07

400

Change y=x²-8x+9 to vertex form.

y=(x-4)²-7

500

The path of a kicked soccer ball is modeled by h(t)=-16t²+50t+2. What is the maximum height that the ball reaches?

41.06 feet (at 1.56 seconds)

Circles

100

If angle BAC is a central angle measuring 67 degrees, what is the measure of arc BC?

mBC = 67 degrees

200

If angle BAC is an inscribed angle measuring 19 degrees, what is the measure of arc BC?

mBC = 38 degrees

300

If angle BAC is a central angle measuring 170 degrees and AB=3, what is the length of arc BC?

17pi over 6 (approx. 8.9)

400

If angle BAC is a central angle measuring 51 degrees and the sector is creates has an area of 20, what is the length of AB? Round to the nearest tenth.

AB = 6.7

500

What is the arc length of a sector that has an area of 24.6 with a radius of 6?

8.2

Coordinate Plane

100

What is the slope of a line perpendicular to y=-3x+1?

1/3

200

Write the equation of a circle with radius 4 and center (3, 7).

(x-3)²+(y-7)²=16

300

What shape do the following points create?

(1,2), (-2, -5), (-4, 0), (3, -3)

Square

400

Write the equation of a line parallel to y=(-1/2)x-3 that passes through the point (7,1)

y=(-1/2)(x-7)+1 or y=(-1/2)x+(9/2)

500

The following three points are three corners of a rectangle. What are the coordinates of the 4th point?

(2,3), (1, -4), (-1,2), (?,?)

(4,-3)