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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.