Geometry Unit 7 Quiz
Which similarity postulate or theorem can be used to determine if the two triangles are similar?
Side-Angle-Side Similarity Theorem
Choose the triangle below that is similar to the red triangle.
The purple one with degrees of 110º and 47º
The two polygons below are similar. Find the length of the missing side of the polygon below.
x = 15
Find the length of the missing side of the triangle below. Round your answer to the nearest hundredth.
x = 3.36
Solve for x. Round to the nearest hundredth.
x = 4.62
Solve the proportion. 5/x = 25/40
x = 8
Find the image of the point (-2, 6) transformed by the dilation with a scale factor of 2. D (x,y) = (2x, 2x)
(-4, 12)
Apply the dilation of D (x,y) = (1/2x, 1/2y) to the coordinates below. (9, -2), (-5, 4)
(9/2, -1) (-5/2, 2)
Complete the statement: If two polygons are similar, then their corresponding __________ are congruent and their corresponding ______ are proportional.
1) angles; 2) sides
Krystal, a marine biologist, needs to test the water at different points in a lake. She walks 800 feet from her parked car to a sign which says that the lighthouse on the far side of the lake is 2400 feet away. She plans to take her boat across the width of the lake, in order to sample different spots of the water. In order to ensure her boat can reach the other side without running out of fuel, she sets up the corresponding model. If her boat can travel 5000 feet for each gallon of gas, how much gas will she need to have to travel across the lake and back?
1.2 gallons
The two triangles shown below are similar. If DF = 6, then how long is AC?
10
Kelsey is 5 feet tall and stands 35 feet away from a building and she casts a shadow 8 feet long. Find the height of the building.
26.9 feet
Solve for x. Then enter the value of x.
5
What type of dilation is described with the equation below? D (x, y) = (1/3x, 1/3y)
Contraction
Use the side length information below to find which triangle is similar to ∆ABC. AB = 8 BC = 10 AC = 2
For ∆XYZ XY = 4 YZ = 5 XZ = 1
