Oh My Angles!
Pythagor-what?
What's in the box?
Operation Transformation
Similarity at it's Finest
100
Angles that have a sum of 90 degrees are called this.
What are complementary angles.
100
State the difference between the hypotenuse of a right triangle and the legs of a right triangle.
What is the location to the right angle?
100
State the formula for volume of a rectangular prism.
What is base x width x height?
100
This transformation is a "slide" around a coordinate grid.
What is a translation?
100
The two things that must be true for shapes to be considered "similar" are what?
What is the angle measures must be the same and corresponding side lengths must be proportional?
200
When non-parallel lines are cut by a transversal, this is the only relationship in which the angles must be congruent.
What are vertical angles?
200
If a = 24 and b = 32, find c.
What is 40?
200
A rectangular prism has the following dimensions: h= 14 ft w= 2 ft l= 5 ft. Find the volume.
What is 140 cubic feet?
200
Transformations that do not change the size or the shape of the figure are called this.
What are rigid transformations?
200
In a pair of similar figures, one side went from being 18 meters long to being 2 meters long. Describe the transformation.
What is a reduction by a scale factor of 1/9?
300
Angle A and angle B are supplementary angles.
What is 46 degrees?
300
A triangle has side lengths of 8, 17, and 15. Is this a right triangle?
What is yes, because the Pythagorean Theorem works on every right triangle and it works for this set of numbers.
300
Explain how the area of the base of a rectangular prism relates to the volume of the prism.
What is the volume represents the "stacked area"?
300
A figure is rotated 180 degrees counterclockwise about the origin. Write a coordinate rule to describe this transformation.
What is (x, y) --> (-x, -y)?
300
Figure A has side lengths that measure 8, 10, and 15. Figure B has side lengths that measure 4, x, and y. If figure A and figure B are similar, what are the missing dimensions of figure B?
What are 5 and 7.5?
400
State the relationship between the interior angles of a triangle and the exterior angles of a triangle.
What is the exterior angle is equal to the sum of the two non-adjacent interior angles?
400
In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. The screen measures 10 inches in height. State the width of the screen to the nearest tenth.
What is 16.2 inches?
400
You have a box that has the dimensions 25 inches by 13 inches by 6 inches. Find the volume.
What is 1950 cubic inches?
400
The coordinates of a particular figure are (1, -4), (5, 8), and (2, -6). If the figure is dilated by a scale factor of 2, what are the new coordinates?
What are (2, -8), (10, 16), and (4, -12)?
400
One figure has dimensions of 4, 8, and 7. A second figure has dimensions 12, 24, and 20 respectively. Are the two figures similar? Explain.
What is no, because not all the side lengths are increased or decreased by the same scale factor?
500
In a particular triangle, one angle measure is 3x + 5, another is 7x, and the third is 5x - 20. Find the value of x.
What is x = 13?
500
You have a box that you are trying to fill with rolls of wrapping paper. If the dimensions of the box are 15 in. by 20 in. by 18 in., will a 32 in. long roll of wrapping paper fit? (Keep in mind that the rolls of wrapping paper do not have to lay flat.)
What is no because the longest dimension of the box is only 30.8 inches?
500
A moving company is trying to store boxes in a storage room with a length of 9 ft, width of 12 ft and height of 6 ft. How many boxes can fit in this space if each box is 2 ft long, 3 ft wide and 1/2 ft high?
What is 216 boxes?
500
Point A is on (-4, 5). If it is translated down 3 units and then to the right 4 units then reflected over the x axis, what is the new coordinate for point A?
What is (-2 ,0)?
500
A 6 ft tall man standing next to a tree casts an 8 ft shadow. If the tree is 15 ft tall then how long is its shadow?
What is 20 feet long?
M
e
n
u