Points, Lines and Angles
Similarity, Ratios, and Congruence
Perimeter, Area and Volume
Triangles and Trapezoids
100
Name the figure shown in the diagram below:
overline(AB)
100
Opposite sides and opposite angles of a parallelogram are this
Congruent
100
A rectangular lot that measures 150 feet by 200 feet is completely fenced. What is the approximate length, in feet, of the fence?
700 feet.
100
The sum of the interior angles of a triangle is this
180 degrees
200
Points on the same line are called this
Colinear
200
A triangle with a perimeter of 66 inches has one side that is 16 inches long. The lengths of the other two sides have a ratio of 2:3. What is the length, in inches, of the longest side of the triangle?
30 inches
200
In the figure shown below, each pair of intersecting line segments meets at a right angle, and all the lengths given are in inches. What is the perimeter, in inches, of the figure?
80
200
A ladder is 10 ft long and reaches 8 ft up a wall, as shown below. How many feet is the bottom of the ladder from the base of the wall?
6 feet
300
In the figure below, lines m and n are parallel, transversals r and s intersect to form an angle measure of x degrees, and 2 other angle measures are as marked. What is the value of x?
35 degrees
300
The ratio of the side lengths for a triangle is exactly 12:14:15. In a second triangle similar to the first, the shortest side is 8 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?
10.0 inches
300
Parallelogram ABCD, with dimensions in inches, is shown in the diagram below. What is the area of the parallelogram, in square inches?
36 square inches
300
If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?
90 meters.
400
In the figure below, B is on segment AC, E is on segment DF, segment AC is parallel to segment DF, and segment BE is congruent to segment BF. WHat is the measure of angle DEB?
145 degrees
400
Your friend shows you a scale drawing of her apartment. The drawing of the apartment is a rectangle 4 inches by 6 inches. Your friend wants to know the length of the shorter side of the apartment. If she knows that the length of the longer side of the apartment is 30 feet, how many feet long is the shorter side of her apartment?
20 feet
400
A formula for the volume V of a sphere is
V=4/3pir^3
If the radius of a spherical rubber ball is 1.25 inches, what is its volume to the nearest cubic inch?
8
400
In the figure below, ABCD is a trapezoid, E lies on line AD, and angle measures are as marked. What is the measure of angle BDC?
45 degrees
500
What is the distance in the standard (x,y) coordinate plane between points (1,0) and (0,5)?
sqrt(26)
500
In triangle ABC below, D, E, and F are points on segments AB, BC, and AC, respectively, and segment DF is congruent to segment EF. What is the sum of the measures of the angles marked as x and y?
90 degrees
500
The trapezoid below is divided into 2 triangles and 1 rectangle. Lengths are given in inches. What is the combined area, in square inches, of the 2 shaded triangles?
6 square inches
500
Members of the fire department lean a 30-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?
28 feet