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Mathematician _______________________________________
Points, Lines, Planes Vocab. Quiz
1. understood to be a dot that represents a location in a plane or in space _____________________
2. understood to be straight, contains infinitely many points, extends infinitely in 2 directions, and has no
thickness _____________________
3. understood to be a flat surface that extends infinitely in all directions. _____________________
4. points that are contained in one line. _____________________
5. lines that are contained in the same plane. _____________________
Plane
Collinear Points
Line
Point
Coplanar Lines
6. a straight path from one point to another. _____________________
7. an endless straight path from a starting point. _____________________
8. two rays that share an endpoint, extend in opposite directions, and make a line _____________________
9. a line, ray or line segment that bisects a segment into 2 congruent parts _____________________
10. point, line, and plane _____________________
Segment Bisector
Undefined Terms
Ray
Line Segment
Opposite Rays
11. tells meaning of term and is always biconditional. _____________________
12. an angle that measures exactly 90 degrees _____________________
13. B is on the interior of <ADE thus <ADB + <BDE = <ADE _____________________
14. A ray, line or line segment that bisects an angle into 2 congruent parts_____________________
15. An angle that measures greater than 90 and less than 180 degrees. _____________________
Right Angle
Obtuse Angle
Angle Bisector
Definition
Angle Addition Postulate
16. a point that bisects the segment into two congruent segments. _____________________
17. is the union of two non-collinear rays which have the same vertex _____________________
18. The common endpoint of the sides of an angle _____________________
19. inside of the angle _____________________
20. outside of the angle _____________________
Vertex
Exterior of an Angle
Angle
Midpoint
Interior of an Angle
21. two coplanar angles with a common side and no common interior points. _____________________
22. a pair of adjacent angles whose non-common sides are opposite rays. _____________________
23. two angles whose measure have a sum of 90. _____________________
24. two angles whose measure have a sum of 180. _____________________
25. nonadjacent angles formed by two intersecting lines _____________________
Complementary Angles
Vertical Angles
Supplementary Angles
Adjacent Angles
Linear Pair
26. are lines that are coplanar and do not intersect _____________________
27. An angle that measures exactly 180 degrees. _____________________
28. lines that intersect to form right angles. _____________________
29. B is collinear and between the points A and C thus AB + BC = AC_____________________
30. two lines that do not lie in the same plane. _____________________
Segment Addition Postulate
Parallel Lines
Non-coplanar Lines
Straight Angle
Perpendicular Lines
31. is a line which is perpendicular to the segment and contains the midpoint. _____________________
32. A point at an end of a segment or the starting point of a ray. _____________________
33. An angle that measures greater than 0 and less than 90 degrees. _____________________
Acute Angle
Endpoint
Perpendicular Bisector
______ 1. A statement you believe to be true based on inductive reasoning.
______ 2. The process of reasoning that assumes that when several examples form a pattern, the
pattern will continue.
______ 3. The process of using logic to draw conclusions from given facts, definitions, and
properties. This reasoning is the basis for proofs.
______ 4. Statements that have the same truth value.
A. inductive reasoning
B. logically equivalent statements
C. conjecture
D. deductive reasoning
______ 5. A determination of either true or false for a particular statement.
______ 6. The statement formed by both exchanging and negating the hypothesis and conclusion
of a conditional statement.
______7. An example that proves that a conjecture or statement is false.
______8. The part of a conditional statement following the word then.
A. contrapositive
B. conclusion
C. counterexample
D. truth value
______9. The part of a conditional statement following the word if.
______10. A statement that can be written in the form “if p, then q,” where p is the hypothesis
and q is the conclusion.
______ 11. The statement formed by negating the hypothesis and the conclusion.
______ 12. The statement formed by exchanging the hypothesis and conclusion.
A. hypothesis
B. converse
C. inverse
D. conditional statement
______1. Two planes that do not intersect
______2. Lines in the same plane that have the same slope.
______3. Lines in the same plane that have slopes that multiply to be -1.
______4. Angles that lie in between two lines that have been intersected by a transversal
______5. 2 non-coplanar lines that do not intersect
A. perpendicular lines
B. parallel lines
C. parallel planes
D. skew lines
E. interior angles
______6. a pair of angles that lie on the same side of the transversal and on the same sides of
the other two lines
______7. a pair of angles that lie on opposite sides of the transversal and outside the other two
lines.
______8. a pair of angles that lie on opposite sides of the transversal and between the other
two lines
______9. a pair of angles that lie on the same side of the transversal and between the two
lines.
______10. a line that intersects two coplanar lines at two different points.
A. alternate interior angles
B. corresponding angles
C. transversal
D. same side interior angles
E. alternate exterior angles
1.
2.
3.
A.
B.
C.
y= 2x+1 and y=2x+1
y= 2x+1 and y=2x=5
y= 2x+1 and y= -1/2x+3
parallel lines
perpendicular lines
coinciding lines (same lines)
1.
2.
3.
4.
5.
A.
B.
C.
D.
E.
The last statement in any proof must always match the _______ statement exactly.
If r + 2 = 20, then r + 2 – 2 = 20 – 2.
If a = b, then b = a.
If x - 2= 4, then x -2 + 2 = 4 + 2.
3t 24

If 3t = 24, then
.
3
3
Addition property
Symmetric property
Division property
prove
Subtraction property
If 8(y – 10), then 8y – 80.
If x = 5, then 3x = 3(5) = 15.
k
k
8. If  20 , then (4)  20(4) .
4
4
9. If y = 11 and 11 = z, then y = z.
10. If ab = ab
6.
7.
A.
B.
C.
D.
E.
Transitive property
Substitution property
Multiplication property
Reflexive
Distributive property
1. In an isosceles triangle, the congruent sides are called the __________.
2. One of the two (equal) bottom angles in an isosceles triangle is called ____________________.
3.
4.
5.
A. Right and Scalene Triangle
B. Base angle
C. Obtuse and Isosceles Triangle
D. Equiangular and Equilateral Triangle
E. Legs
5.
6.
7.
8.
A. Acute and Scalene Triangle
B. Obtuse and Scalene Triangle
C. Right and Isosceles Triangle
D. Acute and Isosceles Triangle
_____1. A change in the position, size, or shape of a figure.
_____2. The original figure of a transformation.
_____3. A quantity that has both a direction and length.
_____4. Transformations that do not change the size and shape of a figure.
A. Vector
B. Transformation
C. Preimage
D. Isometry
_____5. A transformation across a line, called the line of reflection, so that the line of reflection is
the perpendicular bisector of each segment joining each point and its image.
_____6. A transformation about a point P, called the center of rotation, such that each point and its image are
the same distance from P, and such that all angles with vertex P formed by a
point and its image are
congruent.
_____7. A transformation along a vector such that each segment joining a point and its image
has the same length as the vector and is parallel to the vector.
_____8. A rule which shows how the preimage changed positions.
A. Translation
B. Reflection
C. Motion rule
D. Rotation
_____9. A transformation that enlarges or reduces all dimensions proportionally.
_____10. A dilation with a scale factor ‘k’ greater than 1
_____11. A dilation with a scale factor ‘k’ greater than 0 but less than 1
A. Reduction
B. Dilation
C. Enlargement