Spring 2026 Final Exam Mr. Johnson

Read each question carefully. Make sure to include units, when necessary.

PUT YOUR CALCULATOR IN DEGREES

Required

2

I have made sure that my calculator is in degrees. If you aren't sure how to check, type in sin(90) and make sure that it is equal to one.

Yes, because I want credit if I do my work correct!

No, because I want to fail even though I know the correct answers!

Required

1

DEF is an equilateral triangle.
Solve for x. Round to the nearest tenth.

Required

0.5

A skateboard ramp is 15 inches high and rises at an angle of 20°. What is the horizontal distance of the ramp?
Round your answers to the nearest tenth.

Required

1

Required

1

Find the value of the missing angle.

17.8

60

80

45.1

Required

1

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

15.26 m

35.21 m

28.81 m

11.25 m

G.SRT.C.8.a

Required

1

TEKS G6.D

Jalen is a lifeguard at a public swimming pool and is planning to string flags across both diagonals of the rectangular pool. He knows the dimensions of the pool are 50 meters by 25 meters.

What is the total length of flag string Jalen will need to reach across both of the diagonals of the pool?
Round your answer to the nearest tenth.

Required

0.5

TEKS G9.B 

A 25-foot ladder is placed against the side of a building with the bottom of the ladder 7 feet from the base of the building. If the base of the ladder is pulled back an additional 8 feet from the building, how far will the ladder slide down the side of the building?

_______ feet

1

TEKS G12E

Let (x, y) represent a point on a circle centered at the origin.
Determine the equation of the circle and justify your reasoning.

The equation is x2 + y2 = r2 because the midpoint formula can be used to describe all points equidistant from the origin with a radius of r.

The equation of the circle is (x + y)2 = r2 because the curvature of the circle is formed by a quadratic relationship.

1

TEKS G12E

Point B is located on circle A, as shown below.

Determine the equation of circle A.

(x – 1)2  + (y + 2)2  = 9

(x + 1)2  + (y – 2)2  = 9

1

Which equation represents a circle with a radius of 4 centered at (-3, 8)?

(x – 3)2  + (y + 8)2  = 8

(x + 3)2  + (y -8)2  = 16

(x + 3)2  + (y – 4)2  = 64

1

Given XY is tangent to the circle, find the measure of the central angle in degrees.

0.5

What is m<A?

1

The diameter of a circle is 12 ft.
What is the area of the circle in terms of π?

36π ft²

12π ft²

144π ft²

6π ft²

N.Q.1

2

What 2D shape could be rotated to form this 3D shape?

Rectangle

Circle

Hexagon

Square

1

What solid 3D object is produced by rotating the triangle about line m?

A cone with height 1 unit

A cone with height 3 units

A cone with diameter 1 unit

A cone with radius 3 units

Spring 2026 Final Exam Mr. Johnson

I have made sure that my calculator is in degrees. If you aren't sure how to check, type in sin(90) and make sure that it is equal to one.

DEF is an equilateral triangle.Solve for x. Round to the nearest tenth.

A skateboard ramp is 15 inches high and rises at an angle of 20°. What is the horizontal distance of the ramp?Round your answers to the nearest tenth.

Find the value of the missing angle.

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

TEKS G12ELet (x, y) represent a point on a circle centered at the origin.Determine the equation of the circle and justify your reasoning.

TEKS G12EPoint B is located on circle A, as shown below.Determine the equation of circle A.

Which equation represents a circle with a radius of 4 centered at (-3, 8)?

Given XY is tangent to the circle, find the measure of the central angle in degrees.

What is m<A?

The diameter of a circle is 12 ft.What is the area of the circle in terms of π?

What 2D shape could be rotated to form this 3D shape?

What solid 3D object is produced by rotating the triangle about line m?

I have made sure that my calculator is in degrees. If you aren't sure how to check, type in sin(90) and make sure that it is equal to one.

DEF is an equilateral triangle.Solve for x. Round to the nearest tenth.

A skateboard ramp is 15 inches high and rises at an angle of 20°. What is the horizontal distance of the ramp?Round your answers to the nearest tenth.

Find the value of the missing sides. Choose an answer for x and an answer for y.

Find the value of the missing angle.

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

TEKS G12ELet (x, y) represent a point on a circle centered at the origin.Determine the equation of the circle and justify your reasoning.

TEKS G12EPoint B is located on circle A, as shown below.Determine the equation of circle A.

Which equation represents a circle with a radius of 4 centered at (-3, 8)?

Given XY is tangent to the circle, find the measure of the central angle in degrees.

What is m<A?

The diameter of a circle is 12 ft.What is the area of the circle in terms of π?

What 2D shape could be rotated to form this 3D shape?

What solid 3D object is produced by rotating the triangle about line m?

DEF is an equilateral triangle.
Solve for x. Round to the nearest tenth.

A skateboard ramp is 15 inches high and rises at an angle of 20°. What is the horizontal distance of the ramp?
Round your answers to the nearest tenth.

TEKS G12E

Let (x, y) represent a point on a circle centered at the origin.
Determine the equation of the circle and justify your reasoning.

TEKS G12E

Point B is located on circle A, as shown below.

Determine the equation of circle A.

The diameter of a circle is 12 ft.
What is the area of the circle in terms of π?

DEF is an equilateral triangle.
Solve for x. Round to the nearest tenth.

A skateboard ramp is 15 inches high and rises at an angle of 20°. What is the horizontal distance of the ramp?
Round your answers to the nearest tenth.

Find the value of the missing sides.

Choose an answer for x and an answer for y.

TEKS G12E

Let (x, y) represent a point on a circle centered at the origin.
Determine the equation of the circle and justify your reasoning.

TEKS G12E

Point B is located on circle A, as shown below.

Determine the equation of circle A.

The diameter of a circle is 12 ft.
What is the area of the circle in terms of π?