Logic
Parallel Lines
Points, Lines, and Planes
Polygons
Circles
100
What is the hypothesis of the following conditional statement: If it snows, then school will be cancelled.
What is it snows.
100
Name a pair of skew lines.
What is Line CD and Line GB. (one of many examples)
100
Given the following picture name three collinear points.
What is A, N, and X. (Other examples possible)
100
If AG = 2x + 10 and CF = 5x - 2, find x.
What is x=4.
100
What is x=15.
200
What is the converse of the following conditional statement: If it is Monday, then I have piano lessons.
What is: If I have piano lessons, then it is Monday.
200
Angle 4 and Angle 8 are what type of angles.
What is Alternate Exterior Angles.
200
Given the measure of angles 1 is 25 degrees, find the measures of the other angles.
What is measure of angle 2 is 155, the measure of angle 3 is 25 and the measure of angle 4 is 155.
200
The measure of an interior angle of a regular polygon is 160 degrees. Find the number of sides of the polygon.
What is 18 sides.
200
Solve for x:
What is 2.25.
300
Is the following argument valid? If so name the logic law.
If I get a job, then I can save money.
If I save money, then I can buy a video game system.
I did not buy a video game system, so I did not get a job.
What is valid by Law of Syllogism.
300
In the figure below l || m. Find the measure of angle 1 if the measure of angle 14 is 75. Name the transversal.
What is the measure of angle 1 is 105 and the transversal is line j.
300
Find the distance between (-6, 2) and (3,-1). Leave your answer in simplest radical form.
What is 3 √10.
300
Given rhombus ABCD. If m∠ABD = 2x + 10 and m∠DBC = 5x - 20, find m∠ABC.
What is the measure of angle ABC is 30 degrees.
300
Solve for x.
What is x=6.
400
Is the following argument valid. If so name the logic law.
If I get good grades, then my parents will take me to the movies.
I went to the movies.
I got good grades.
What is invalid.
400
Refer to the diagram where p || q. m∠1 = 107, m∠11 = 48.
Find the measure of angle 9.
What is 48 degrees.
400
Find the coordinates of I if J has coordinate (2,4) and Z(-3,1) is the midpoint of line segment IJ.
What is (-8, -2).
400
Determine whether or not the following is a parallelogram. Explain your reasoning.
What is yes opposite sides are parallel. Since alternate interior angles are congruent, then the lines must be parallel.
400
Suppose a chord is 20 inches long and is 24 inches from the center of the circle. Find the length of the radius.
What is x is 26 inches.
500
Given:
p: Linear pairs for right angles.
q: Vertical angles are congruent.
Write p v q and determine the truth value.
What is linear pairs form right angles and vertical angles are congruent.
False.
500
Given 
What is x=6, y=22 and z=32.5.
500
An angle measures 36 degrees less than five times the measure of its complement. Find the measure of both angles. Classify each angle as acute, obtuse or right
What is the angle measures are 69 and 21 degrees. The angles are acute.
500
Find the x, y and the perimeter of kite GHJK if GH=x+10, HJ=y+8, GK=3x-4 and JK=2y+5.
What is x=13 and y =15 and the perimeter is 116.
500
Solve for x:
What is 16.