Geometric Transformations
What is an example of a geometric transformation that would result in a congruent figure?
Translation OR reflection OR rotation
Draw an example of alternate interior angles.
Depends!
A triangle has angles that measure 45 degrees and 17 degrees. What is the measure of the 3rd angle?
118 degrees
Find the perimeter of 4.5 by 2.5 inch rectangle.
14 inches
What is 35% of 70?
24.5
What is a geometric transformation that results in a similar figure?
Dilation
Draw an example of same side interior angles.
Depends!
A triangles two interior angles that measure 62 degrees and 31 degrees. What is the measure of the corresponding remote exterior angle?
93 degrees
Find the area of a 4.5 by 2.5 inch rectangle.
11.25 square inches
At the store, you buy bananas for $0.65 per pound, Takis for $5.25, and white cheddar Cheez-its for $3.25.
Write AND simplify an equation that could be used to find the number of pounds of bananas you bought if your total was $15.
0.65x + 8.5 = 15
A 3.5 by 6 cm rectangle is enlarged by a scale factor of 2.5. What was the area of the original figure? What is the area of the new figure?
21 square centimeters, 131.25 square centimeters
An angle measures 72 degrees. What is the measure of its same side interior angle?
108 degrees
Draw a diagram of a triangle that shows two interior angles and a remote exterior angle. Label possible angle measures for each.
Depends!
Find the area of a triangle with a base of 5 cm and a height of 7.5
18.75 square centimeters
$34.12
A figure is reflected across the y-axis, then rotated 90 degrees counter clockwise. If a point was originally located at (4,3), where is the point located now?
(4,3) -> (-4,3) -> (-3,-4)
An angle measures 15x-10 degrees and its alternate interior angle measures 95. What is the value of x?
x = 7
A triangle has angles that measure 3x degrees, 4+2x degrees, and 21 degrees. What is the value of x?
x = 31
A circle has a diameter of 15.35 feet. What is the circumference of the circle? Use 3.14 for pi.
48.199 feet
Solve the inequality and graph the solution.
8 - 2/3b ≤ -4
b ≥ 12
A line is reduced using a scale factor of 2/3. If the image is 12 inches long, what was the length of the pre-image line?
18 inches
An angle measures 8y+17 degrees and its same side interior angle measures 143. What is the value of y?
y = 2.5
A triangles has interior angles that measure 3x-4 degrees, 14 degrees, and a remote interior angle that measures 4x degrees. What is the measure of the remote interior angle?
40 degrees
A circle has a circumference of 15.7 cm. What is the area of this circle?
19.625 square centimeters
An auditorium with a 800 person capacity and 250 people have already been seated. 35 more people are entering per minute.
Write and solve an inequality to show many more minutes until the auditorium is full.
250 + 35x ≤ 800, x ≤ 17.14