Geometry Cycle 3 Review

Cycle 3 Test Review

NAME:

PERIOD:

Bellringer:

Label the triangle’s hypotenuse,adjacent, and opposite sides.

Given parallelogram ABCD, find the following:

1.

What are the properties of a parallelogram that is
important to solving this problem?

2. Set up your equations and solve for x.

X = _________

3. What is the angle measure of each angle?

<A: ___________

<B: ___________

<C: ___________

<D:____________

Given parallelogram ABCD, find the following:

1. Set up your equations and solve for x.

X = _________

3. What is the angle measure of each angle?

<A: ___________

<B: ___________

<C: ___________

<D:____________

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 7

• 1

• 5

• 2

Multiple Choice

Solve for x. Each figure is a parallelogram.

• A

• B

• C

• D

Given parallelogram SAND and SY = 2x + 3, YN= x + 23, AY = 2y+10
and DY= 30, answer the following questions:

1.

What are the properties of a parallelogram that is
important to solving this problem?

2. Set up your equations and solve for x and y.

X = _______ Y= ________

3. What is length of:

SN = _______ DA = _________

Multiple Choice

• v=25 and y=16

• v=58 and y=135

• v=38 and y=9.5

• v=135 and y=38

Fill in the Blanks

Diagonals along a quadrilateral are

, therefore I can set their equation equal to each other.

Fill in the Blanks

Adjacent angles of parallelogram are supplementary, so I can add them up to

.

A Composite figure is shown on the coordinate grid.
What is the total area of this composite figure?

Fill in the Blanks

Find the composite area of the following shape.

A Composite figure is shown on the coordinate grid.
What is the total area of this composite figure?

Multiple Choice

What is the area of the composite figure?

• 48 cm²

• 90 cm²

• 78 cm²

• 12 cm²

Given the following triangle,

1.

Label the hypotenuse, adjacent, and opposite side.

2.

Write the appropriate trigonometric ratio to solve
for the missing side, h.

3.

What is the length of side h?

Given triangle RAP, find the following:

1.

What trig ratio can be used with the side lengths
given? State the correct ratio.

2. Find the missing angle.

3. Find the length of AR.

Multiple Choice

Triangle ABC is a right triangle. If m<A = 30 and AC = 7, find the length of BC. Which represents the correct ratio you need to use to solve the problem?

• $$\sin\left(30°\right)=\frac{x}{7}$$

• $$\sin\left(90°\right)=\frac{x}{7}$$

• $$\cos\left(30°\right)=\frac{x}{7}$$

• $$\cos\left(30°\right)=\frac{7}{x}$$

Multiple Choice

Triangle ABC is a right triangle. If m<A = 30 and AC = 7, find the length of BC. (Hint: Change answers to decimal form.)

• $$5\sqrt[]{2}$$

• $$\frac{3}{2}$$

• $$\frac{2}{3}$$

• $$\frac{2}{3}$$

25 ft
85.3°

A surveyor is standing 25 feet from the base of a large
tree. The surveyor measures the angle of elevation to
the top of the tree as 85.3°. How tall is the tree?

Fill in the Blanks

Round to the nearest whole number.