Vocabulary
Which term means a statement accepted as true without proof?
A.Theorem
B.Conjecture
C.Postulate
D.Biconditional
Answer:C. Postulate
Which part of a conditional statement comes after “if”?
A. Conclusion
B. Negation
C. Hypothesis
D. Biconditional
C. Hypothesis
What is the definition of a point?
A. A line with no thickness
B. A location with no size
C. A straight path that goes on forever
D. A flat surface
B. A location with no size
How many sides does a triangle have?
A. 2
B. 3
C. 4
D. 5
B.3
What is a rigid motion?
A. A transformation that changes size
B. A transformation that preserves length and angle
C. A transformation that only rotates figures
D. A transformation that bends a figure
B. A transformation that preserves length and angle
Which type of reasoning uses patterns or examples to make a general conclusion?
A. Deductive reasoning
B. Inductive reasoning
C. Law of Syllogism
D. Contrapositive
B.Inductive reasoning
In the statement “If it is raining, then the ground is wet,” what is the conclusion?
A. It is raining
B. The ground is wet
C. It is cloudy
D. It is spring
B. The ground is wet
Which term describes a line that has one endpoint and extends forever in one direction?
A. Line segment
B. Line
C. Ray
D. Angle
C.Ray
A polygon with five sides is called a:
A. Quadrilateral
B. Hexagon
C. Pentagon
D. Octagon
C. Pentagon
Which of the following is NOT a rigid motion?
A. Reflection
B. Translation
C. Rotation
D. Dilation
D. Dilation
Question:
Which term describes a line that intersects two or more lines at different points?
A. Parallel line
B. Perpendicular line
C. Transversal
D. Segment
C.Transversal
Which symbol is used to represent a conditional statement?
A. p ↔ q
B. p ∧ q
C. p → q
D. p ≠ q
C. p → q
Two lines that intersect to form right angles are called:
A. Parallel
B. Skew
C. Perpendicular
D. Collinear
C. Perpendicular
Which triangle has all sides equal?
A. Scalene
B. Isosceles
C. Right
D. Equilateral
D. Equilateral
If the image is smaller than the preimage, what can you conclude?
A. The transformation is a reflection
B. The transformation is rigid
C. The transformation is not rigid
D. The transformation is a rotation
C. The transformation is not rigid
Which law states that if p → q and q → r, then p → r?
A. Law of Detachment
B. Law of Syllogism
C. Deductive reasoning
D. Converse
B. Law of Syllogism
Which statement is written correctly as a conditional?
A. The ground is wet if it is raining
B. It is raining and the ground is wet
C. If it is raining, then the ground is wet
D. The ground is wet because it is raining
C. If it is raining, then the ground is wet
What is the measure of a straight angle?
A. 90°
B. 45°
C. 180°
D. 360°
C.180°
A triangle has side lengths 5, 7, and x. Which value of x makes the triangle impossible?
A. 3
B. 6
C. 10
D. 11
D.11
Which transformation creates a mirror image of a figure across a line?
A. Translation
B. Rotation
C. Reflection
D. Dilation
C. Reflection
Which term represents the statement formed by negating and switching the hypothesis and conclusion of a conditional?
A. Converse
B. Biconditional
C. Contrapositive
D. Conjecture
C. Contrapositive
Which conditional statement is always true?
A. If water is heated, then it boils
B. If a triangle has a right angle, then it is a right triangle
C. If your favorite color is blue, then you are a good speller
D. If it is raining, then it is spring
B. If a triangle has a right angle, then it is a right triangle.
Two angles form a linear pair and are in the ratio 2:7. What is the measure of the larger angle?
A. 100°
B. 126°
C. 140°
D. 154°
B.126
A triangle has angles measuring 3x°, 5x°, and 7x°. What is the value of x?
A. 10
B. 12
C. 15
D. 18
B. 12
A triangle is rotated 90° about the origin and then reflected across the y-axis. What is always true?
A. Orientation is preserved
B. Angle measures change
C. The image is congruent to the original
D. The figure becomes smaller
C. The image is congruent to the original