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Geometry > Midterm Review > Flashcards

Midterm Review Flashcards

(56 cards)

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1
Q

Polygon Interior angle sum theorem

A

the sum of the interior angles of any polygon is 180(n - 2)

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2
Q

The measure of each interior angle of a regular polygon

A

180(n-2)/n

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3
Q

Polygon Exterior Angle Sum Theorem

A

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

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4
Q

Reflexive Property

A

a=a

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5
Q

Transitive property

A

If a=b and b=c, then a=c

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6
Q

Substitution Property

A

If a=b, then a can be substituted for b in any equation or expression

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7
Q

Verticle Angle Theorem (VAT)

A

Vertical angles are congruent

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8
Q

Complimentary angles

A

two angles that add up to 90 degrees

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9
Q

supplementary angles

A

Two angles whose sum is 180 degrees

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10
Q

Congruent Supplements Theorem

A

If two angles are supplementary to the same angle (or to two congruent angles), then the two angles are congruent.

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11
Q

Congruent Complements Theorem

A

If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

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12
Q

Linear Pair Theorem

A

If two angles form a linear pair, then they are supplementary

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13
Q

if two angles are congruent and supplementary…

A

then each is a right angle

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14
Q

all right angles are…

A

congruent

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15
Q

rigid motion

A

A transformation that preserves distance and angle measures

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16
Q

isosceles triangle theorem

A

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

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17
Q

CPCTC

A

corresponding parts of congruent triangles are congruent

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18
Q

congruence criterion (proving triangle congruence)

A

ASA, AAS, SAS, SSS, HL

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19
Q

colinear

A

3 or more points that lie on the same line

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20
Q

Coplaner

A

points that lie on the same plane

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21
Q

Segment Addition Postulate

A

If B is between A and C, then AB + BC = AC

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22
Q

Angle Addition Postulate

A

The sum of the measure of two adjacent angles is equal to the measure of the angle formed by the non-common sides of the two adjacent angles.

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23
Q

construction

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A

A geometric drawing that uses a limited set of tools, usually a compass and straightedge.

24
Q

Perpedicular Bisector

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A

a segment, ray, line, or plane that is perpendicular to a segment at its midpoint

25
midpoint formula
(x₁+x₂)/2, (y₁+y₂)/2
26
distance formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
27
conjecture
reasoning that reaches conclusions based on a pattern of specific examples or past events
28
counterexample
an example that satisfies the statements conditions but does not lead to the statements conclusions
29
conditional statement
a statement that can be written in if-then form, with a hypothesis and a conclusion (if p then q)
30
converse
the statement formed by exchanging the hypothesis and conclusion of a conditional statement (if q then p)
31
negation
the opposite of the original statement. (not P)
32
Inverse
Negating both the hypothesis and conclusion of a conditional statement. (if not p then not q)
33
Contraposative
Negating and reversing both hypothesis and conclusion (If not q, then not p)
34
biconditional statement
A statement that contains the phrase "p if and only if q"
35
Law of Detachment
If a conditional is true and its hypothesis is true, then its conclusion is true.
36
Law of Syllogism
If p-->q and q-->r are true statements, then p-->r is a true statement.
37
same side interior angle postulate
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
38
alternate interior angle theorem
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
39
corresponding angle theorem
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent
40
alternate exterior angle theorem
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
41
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
42
exterior angle theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
43
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
44
circumscribed
A circle that contains all the vertices of a polygon
45
inscribed
A polygon is inscribed in a circle if each of its vertices lie on the circle
46
altitude
a perpendicular segment from a vertex to the line containing the opposite side
47
median
a segment that has endpoints at a vertex and a midpoint of a side opposite the vertex
48
the largest angle is opposite...
the longest side
49
Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
50
reflections
Transformation that reflects each point in the preimage across a line of reflection to the image
51
translation
A transformation that moves every point of a figure the same distance in the same direction
52
composition of rigid motions
a transformation with two or more rigid motions in which the second rigid motion is performed on the image of the first rigid motion
53
rotation
transformation that rotates each point in the preimage around a point called the center of a rotation by an angle measure called the angle of rotation
54
glide reflection
a reflection followed by a translation in a direction parallel to the line of reflection
55
line of symmetry
a line that divides a figure into two halves that are mirror images of each other
56
Point symmetry
a rotation of 180 degrees that maps the figure onto itself

Geometry (1 decks)

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