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54 Terms
1
acute angle
an angle that measures greater than 0 degrees and less than 90 degrees
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2
alternate exterior angles
for two lines intersected by a transversal, a pair of angles that lie on opposite sides of the transversal and outside the other two lines
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3
alternate interior angles
for two lines intersected by a transversal, a pair of nonadjacent angles that lie on opposite sides of the transversal and between the other two lines
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4
angle
two rays that meet at a point
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5
angle bisector
a ray that divides an angle into two congruent angles
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6
biconditional
a combination of two conditional statements
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7
collinear
points that lie on the same line
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8
complementary angles
two angles whose measures have a sum of 90 degrees
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9
conditional statement
a statement that can be written in the form "if p, then q" where p is the hypothesis and q is the conclusion
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10
congruent
having the same size and shape
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11
conjecture
a statement that is believed to be true
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12
contrapositive
the hypothesis and the conclusion in a conditional statement are opposed, and then swapping the order
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13
converse
the statement formed by exchanging the hypothesis and conclusion of a conditional statement
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14
coplanar
points that lie in the same plane
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15
counterexample
an example that proves that a conjecture or statement is false
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16
deductive reasoning
the process of using logic to draw conclusions
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17
image
a shape that results from a transformation of a figure known as the preimage
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18
inductive reasoning
the process of reasoning that a rule or statement is true because specific cases are true
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19
isometry (rigid motion)
a transformation that does not change the size or shape of a figure
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20
leg of a right triangle
one of the two sides of the right triangle that form the right angle
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21
line
an undefined term in geometry, a line is a straight path that has no thickness and extends forever
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22
line of symmetry
a line that divides a plane figure into two congruent reflected halves
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23
line segment
a part of a line consisting of two endpoints and all points between them
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24
line symmetry
a figure that can be reflected across a line so that the image coincides with the preimage
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25
linear pair
a pair of adjacent angles whose noncommon sides are opposite rays
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26
midpoint
the point that divides a segment into two congruent segments
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27
noncollinear
points that do not lie on the same line
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28
obtuse angle
an angle between 90 and 180 degrees
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29
opposite rays
two rays that have a common endpoint and form a line
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30
parallel
lines that never intersect or touch
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31
perpendicular bisector
a line perpendicular to a segment at the segment's midpoint
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32
perpendicular lines
lines that intersect at 90 degrees
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33
plane
an undefined term in geometry, it is a flat surface that has no thickness and extends forever.
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34
point
an undefined term in geometry, it names a location and has no size
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35
postulate
a statement that is accepted as true without proof
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36
preimage
the original figure in a transformation
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37
ray
a part of a line that starts at an endpoint and extends forever in one direction
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38
reflection
a transformation across a line, called the line of reflection, such that the line of reflection is the perpendicular bisector of each segment joining each point and its image
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39
right angle
an angle that measures 90 degreees
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40
rotation
a transformation about a point, also known as the center of rotation, such that each point and its image are the same distance from it. all of the angles with the same vertex are congruent
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41
rotational symmetry
a figure that can be rotated about a point by an angle less that 360 degrees so that the image coincides with the preimage has rotational symmetry
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42
same-side interior angles
for two lines intersected by a transversal, a pair of angles that lie on the same side of the transversal and between the two lines
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43
segment bisector
a line, ray, or segment that divides a segment into two congruent segments
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44
straight angle
an angle of 180 degrees
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45
supplementary angles
two angles whose measures have a sum of 180 degrees
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46
symmetry
in the transformation of a figure such that the image coincides with the preimage, the image and preimage have symmetry
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47
theorem
a statement that has been proven
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48
transformation
a change in the position, size, or shape of a figure or graph
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49
translation
a transformation that shifts or slides every point of a figure or graph the same distance in the same direction
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50
transversal
a line that intersects two coplanar lines at two different points
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51
undefined term
a basic figure that is not defined in terms of other figures. the undefined terms in geometry are point, line, and plane
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52
vector
a quantity that has both magnitude and direction
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53
vertex
the point of intersection of two rays
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54
vertical angles
the nonadjacent angles formed by two intersecting lines
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