Scale Factor
If a figure is enlarged with a scale factor of 2, what happens to each side length and to the area?
Each side length is multiplied by 2; areas are multiplied by 22 = 4
Name a quadrilateral with exactly one pair of parallel sides.
Trapezoid
Two angles that add up to 90∘ are called what?
Complementary Angles
Write the formula for the circumference of a circle in terms of diameter d.
C=d times pi
Write the formula for the area of a circle using the radius r.
A = pi times r2
A small map uses a scale where 1 inch represents 5 miles. How many miles does 3.5 inches represent?
17.5 miles
How many faces, edges, and vertices does a rectangular prism have?
6 faces
12 edges
8 vertices
If two lines intersect and one angle measures 110∘, what is the measure of its vertical angle?
110∘ - Vertical Angles
Find the circumference of a circle with radius 3 units.
6 * pi or 18.84
What is the area of a circle with radius 4 units?
50.24 square units
A triangle has side lengths 4, 6, and 9. If the triangle is reduced by a scale factor of 1/3, what are the new side lengths?
4/3, 2, 3
Classify a polygon with five equal sides and five equal angles. What is it called?
A regular five-sided polygon with five equal sides and angles is a regular pentagon.
On a straight line, one angle measures 35∘. What is the measure of its supplementary angle?
145 degrees.
A bicycle wheel has diameter 24 inches. What is the distance the wheel travels in one full revolution?
75.36 inches
A circular rug has an area of 81pi square feet. What is its radius?
r = 9
A rectangle is similar to another rectangle. The smaller has dimensions 6×8 and the larger has a width of 15. What is the length of the larger rectangle?
Scale Factor = 5/2 Length = 20
Draw (or describe) the 2‑dimensional cross section obtained when a plane cuts a right rectangular prism parallel to its base. What shape results?
A plane parallel to the base of a right rectangular prism cuts a cross section that is a rectangle (same shape as the base)
Two parallel lines are cut by a transversal. If a corresponding angle measures 47∘, what is the measure of the corresponding angle on the other parallel line?
47∘
If the circumference of a circle is 62.8 units, what is the radius
10 units
The diameter of a circular pond is 10 meters. Find the area of the pond.
78.5 square meters
A model car is built at a scale factor of 1/8 of the real car. If the model’s length is 10 inches, what is the actual car’s length in feet? (1 foot = 12 inches)
Model : real = 1/18, so real length = 10×18=180 inches. Convert to feet: 180/12=15 feet.
What are the measures of each angle in a rectangle measure? What is the total angle measure?
90 degrees. 360 degrees
In a triangle, two angles measure 45∘ and 55∘. Find the measure of the third angle and name the type of triangle by its angles.
Sum of angles in a triangle is 180∘. Third angle = 180∘−(45∘+55∘)=80∘. Triangle type by angles: it has one angle greater than 90∘? No — largest is 80∘, so all angles are acute; it is an acute triangle.
A circular garden has circumference 50pi meters. A path runs once around the garden. How many meters long is the path? Also give the radius of the garden.
path = 157 meters
r = 25 meters
A circular track has radius 7 meters. A rectangular infield that is 8 meters by 10 meters sits entirely inside the circle. Is it possible for the rectangle to fit inside the circle? Explain by comparing areas and/or distances from center to rectangle corners.
The rectangle can fit.