NAFCS Q3 Geometry Benchmark 24-25 (11/21/2024)

Required

1

What is the value of x in simplest radical form?

x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Required

1

What is the value of x in simplest radical form?

x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Required

1

A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 21 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches _______ feet up the wall. (Round to the nearest hundredth.)

Required

1

Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9

Required

1

The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.

Required

1

Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)

Required

1

Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)

Required

1

Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)

Required

1

Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

Required

1

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)

Required

1

Find the value of a in the parallelogram.

a = ___________________ (Simplify your answer.)

Required

1

For what value of x is the given parallelogram a rhombus?

The given parallelogram is a rhombus when x = ____________.

Required

1

LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 4x + 4 and MP = 9x − 6

x = _______ 
LN = _______ 
MP = _______ 

Required

1

Find the area of the triangle.

Area = ______ m2 (Simplify your answer.)

Required

1

Find the area of parallelogram ADKF.

The area is ________________ square units. (Simplify your answer.)

Required

1

Find the area of the trapezoid.

________ m2. (Simplify your answer.)

Required

1

Find the area of the kite.

Area = ________ m2. (Simplify your answer.)

Required

1

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?

The length of the apothem is _____________ ft.

What is the value of x in simplest radical form?x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.8, 6, 9

The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.

Write the ratio for tan A.tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.________ m2. (Simplify your answer.)

Find the area of the kite.Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?The length of the apothem is _____________ ft.

What is the value of x in simplest radical form?

x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)

What is the value of x in simplest radical form?

x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)

Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9

Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)

Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)

Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)

Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)

Find the value of a in the parallelogram.

a = ___________________ (Simplify your answer.)

For what value of x is the given parallelogram a rhombus?

The given parallelogram is a rhombus when x = ____________.

Find the area of the triangle.

Area = ______ m2 (Simplify your answer.)

Find the area of parallelogram ADKF.

The area is ________________ square units. (Simplify your answer.)

Find the area of the trapezoid.

________ m2. (Simplify your answer.)

Find the area of the kite.

Area = ________ m2. (Simplify your answer.)

The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?

The length of the apothem is _____________ ft.