What geometric object represents a single location in space and has no dimension?
A point
100
What term is used to describe angles that add up to form a 90 degree angle?
Complementary angles
100
Fill in the blanks: In mathematical logic, every statement is considered either ______ or ______.
True or False
100
What is true about any two geometric objects that are congruent?
They have the same shape and same size/measure.
100
Lines that never intersect are said to be...
Parallel
200
What term is used to describe points that fall on the same line?
Collinear
200
What name is given to angles that are formed on opposite sides of a pair of intersecting lines?
Vertical angles
200
Given a conjunction P AND Q, what is the truth value if P is true and Q is false?
P AND Q is false.
200
Given Triangle ABC with side lengths 4, 6, 8 and Triangle DEF with side lengths 12, 18, 24, determine whether the triangles or congruent or similar, and explain why, assuming they are the same shape.
Triangle ABC and DEF are similar; they may be the same shape, but their side lengths are proportional, but not equal.
200
Lines that are perpendicular intersect at what angle?
Right angle (90 degrees)
300
What geometric object can be formed by a collection of 3 or more noncollinear points?
A plane
300
Given two complementary angles, ABC and CBD, where m(ABC) = 65, find the measure of angle CBD.
m(CBD) = 25
300
Use the Law of Syllogism to fill in the blank:
1) If you don't eat well, then you will be more likely to get sick.
2) If you are more likely to get sick, then you will likely have more absences from school.
3) ___________________________________
If you don't eat well, then you will likely have more absences from school.
300
Given Triangle ABC with side lengths 3, 7, and 12, find the lengths of Triangle DEF assuming the triangles are similar by a scale factor of 3.
Side lengths of Triangle DEF will be 9, 21, and 36.
300
What must be true about the slopes of two lines if they are parallel?
They must be equal.
400
What geometric object is formed by the intersection of two planes?
A line
400
Given two supplementary angles ABC and CBD, where m(ABC)=2x + 24 and m(CBD)= 3x + 6, find the measures of each angle.
m(ABC) = 84; m(CBD) = 96
400
Given two congruent angles ABC and DEF, explain what you can conclude and provide the justification why.
Given two lines A and B, cut by a transversal line C, state which theorem would prove the lines to be parallel assuming their corresponding angles are equal in measure.
Corresponding Angles Theorem (If two lines are cut by a transversal so that the corresponding angles are congruent, then the two lines are parallel).
500
Given two parallel planes, both intersected by a third plane, What would be true about the lines formed by the intersections between them?
The lines will be parallel.
500
Given two vertical angles, ABC and DCE, find the measures of the angles if m(ABC) = 3x + 15 and m(DCE) = 5x + 5.
m(ABC)=m(DCE)=30
500
Suzie Q is attempting to prove that a pair of angles are supplementary. All she knows from the diagram is that they form a linear pair. How can she prove they are supplementary?
Use the Linear Pair Theorem to conclude that they must be supplementary since they are a linear pair.
500
Given Triangle ABC in the coordinate plane with endpoints at A(4,0), B(8, 2) and C(6, 6), give the endpoints of a triangle that would be similar to Triangle ABC by a scale factor of 1/2.
Example: Triangle DEF with D(2,0), E(4, 1), and F(3,3).
500
Assuming lines M and N are parallel, and are cut by a transversal line T, find the value of Angle 4 and Angle 6 assuming they are consecutive interior angles, m(4) = 5x + 13 and m(5) = 3x + 7.