Geometry Exam Review

Know the three triangle similarity Postulates and Theorems

• SAS, SSS, AA

Are these triangles similar? Why or why not?

Find the area and circumference of a circle in terms of pi

Know and apply special right triangles

• Find x and y and leave in simplest radical form.

12sqrt3

x

y

Find the volumes and surface areas of 3D shapes

Find the volume and surface area of a cylinder, cone, and/or sphere

Scale factors:-be able to graph an image after a

dilation-Be able to describe the dilation

Describe vectors as ordered pairs

Know the angle bisector theorem. Solve for x.

Find the area of a parallelogram

Find the area of the triangle

Find the lateral area of a prism

Find the area of the triangle:

•

Find the vector that describes each translation.a. B → Db. E → C

The dotted triangle is a dilation image of the solid triangle. What is the scale factor?

Name the translation image of ΔOPQ after a reflection over line t and then a reflection over

line s.

Find the lateral area and surface area

Find the value of x to the nearest degree

PQ is parallel to BC. Find x.

Find the value of x

Write the ratio for cos x

• To find the height of a tall tree, a surveyor moves 140 feet away from the base of the tree and then, with a transit 4 feet tall, measures the angle of elevation to the top of the tree to be 53°. What is the height of the tree? Round your answer to the nearest foot.

• A boat in calm seas travels in a straight line and ends the trip 16 km west and 50 km north of its original position. Find the direction of the trip to the nearest tenth of a degree.

Name a minor arc and find its measure. If the radius = 6cm,

find the length of the arc.

If a dart hits the target at random, what it the probability that it will land in the unshaded

region?

JK, KL, and JL are all tangent to circle O. JA = 3, JL = 7, and the perimeter of ΔJKL = 26. What are JK and KL? (The diagram is

not to scale.)

Point O is the center of the circle. What is the value of x? (Assume that lines that

appear to be tangent are tangent.)

CD = 60, OM = 18, and ON = 15. Find FN.

Find the measure of ∠BAC.

Write an equation of a circle that has center C(-2, -5) and radius 8.