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Geometry Honors > Semester 1 Final > Flashcards

Semester 1 Final Flashcards

(68 cards)

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1
Q

If: B is between A and C
Then: AB=BC=AC

A

Segment Addition Postulate

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2
Q

If: AB=CD
Then: Line AB is congruent to Line CD

A

Definition of Congruent Segments

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3
Q

If: D is in the interior of Angle ABC
Then: m < ABD + m < CBD = m < ABC

A

Angle Addition Postulate

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4
Q

If: m < A = m < B
Then: < A is congruent to < B

A

Definition of Congruent Angles

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5
Q

If: M is the midpoint of Line AB
Then: Line AM is congruent to Line MB

A

Definition of Midpoint

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6
Q

If: Segment Bisector
Then: Intersects at the midpoint

A

Definition of Segment Bisector

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7
Q

If: Angle Bisector
Then: 2 congruent (equal) adjacent angles

A

Definition of Angle Bisector

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8
Q

If: 2 lines are perpendicular
Then: Form a right angle

A

Definition of Perpendicular

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9
Q

If: Right Angle
Then: 90 degrees

A

Definition of Right Angle

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10
Q

a=a

A

Reflexive Property

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11
Q

If: a=b
Then: b=a

A

Symmetric Property

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12
Q

If: a=b
Then: b=a

A

Transitive Property

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13
Q

If: < 1 and < 2 are right angles
Then: < 1 is congruent to < 2

A

Right Angle Congruence Theorem

All right angles are congruent

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14
Q

If: < 1 and < 2 form a linear pair
Then: < 1 and < 2 are supplementary

A

Linear Pair Postulate

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15
Q

If: < 1 and < 2 are vertical angles
Then: < 1 is congruent to < 2

A

Vertical Angles Theorem

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16
Q

If: < 1 and < 2 are supplementary
< 2 and < 3 are supplementary
Then: < 1 is congruent to < 3

A

Congruent Supplements Theorem

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17
Q

If: < 1 and < 2 are complementary
< 2 and < 3 are complementary
Then: < 1 is congruent to < 3

A

Congruent Complements Theorem

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18
Q

If: Lines g and h intersect to form a linear pair of congruent angles
Then: g is perpendicular h

A

(theorem)

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19
Q

If: 2 sides of 2 adjacent acute angles are perpendicular
Then: Angles are complementary

A

(theorem)

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20
Q

If: 2 lines are perpendicular
Then: They form 4 right angles

A

(theorem)

perpendicular lines for 4 right angles

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21
Q

If: Parallel lines
Then: Corresponding angles are congruent

A

CA Postulate

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22
Q

If: Parallel lines
Then: Alternate Interior Angles are congruent

A

AIA Theorem

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23
Q

If: Parallel lines
Then: Alternate Exterior Angles are congruent

A

AEA Theorem

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24
Q

If: Parallel lines
Then: Consecutive Interior angles are supplementary

A

CIA Theorem

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25
If: A transversal is perpendicular to one parallel line Then: The transversal is perpendicular to the other parallel line
Perpendicular Transversal Theorem
26
If: CA are congruent Then: Lines are parallel
CA Converse
27
If: AIA lines are congruent Then: Lines are parallel
AIA Converse
28
If: AEA are congruent Then: Lines are parallel
AEA Converse
29
If: P ll R and R ll S Then: P ll S
(theorem) | *2 lines ll to same lines are ll*
30
If: In a plane, n is perpendicular to p, and m is perpendicular to p Then: m ll n
(theorem) | *2 lines perpendicular to the same line are ll*
31
If: 2 lines ll Then: Same slope
(postulate) | *parallel lines have same slope*
32
If: 2 lines are perpendicular Then: Slopes has a product of -1 (opposite recipricols)
Slopes of Perpendicular Lines
33
If: Triangle Then: Sum of interior angles = 180
Triangle Sum Theorem
34
If: Right triangles Then: Acute angles have sum = 90
Corollary to Triangle Sum Theorem
35
If: 2 triangles with all sides and angles congruent Then: The 2 triangles are congruent
Definition of congruent triangles
36
If: 2 triangles with 2 congruent angles Then: 3rd angles are congruent
3rd Angles Theorem
37
If: Triangle ABC is congruent to triangle DEF Triangle DEF is congruent to triangle JKL Then: Triangle ABC is congruent to triangles JKL
Transitive
38
If: 3 pairs of congruent corresponding parts Then: Triangles are congruent
SSS SAS ASA AAS
39
If: Triangles are congruent Then: Corresponding parts are congruent
CPCTC
40
If: 2 sides of triangle are congruent Then: Angles opposite are congruent
Base Angles Theorem
41
If: 2 angles congruent in a triangle Then: Sides opposite are congruent
Base Angles Theorem Converse
42
If: Equilateral Triangle Then: Equiangular
Corollary to Base Angles Theorem
43
If: In 2 right triangles, leg congruent to leg Hypotenuse congruent to hypotenuse Then: Triangles congruent
HL Theorem
44
If: A point is on the perpendicular bisector of a segment Then: It is Equidistant from the end points
Perpendicular Bisector Theorem
45
If: A point is on the < bisector Then: It is equidistant to sides of the angle
< Bisector Theorem
46
If: Midsegment of a triangle Then: It is parallel to the 3rd side & is 1/2 as long
Midsegment Theorem
47
If: Triangle Then: Sum of any 2 sides > 3rd side
Triangle Inequality Theorem
48
If: Quadrilateral Then: Interior s = 360
Interior Angles of Quadrilateral Theorem
49
If: Parallelogram Then: Opposite sides are parallel
Definition of Parallelogram
50
If: Parallelogram Then: Opposite sides are congruent
(theorem) | *If parallelogram, opposite sides congruent*
51
If: Parallelogram Then: Opposite s congruent
(theorem) | *If parallelogram, opposite s congruent*
52
If: Parallelogram Then: Consecutive interior s supplementary
(theorem) | *If parallelogram, consecutive s congruent*
53
If: Parallelogram Then: Diagonals bisect each other
(theorem) | *If parallelogram, diagonals bisect*
54
If: One pair of opposite sides is congruent and parallel Then: Parallelogram
(theorem)
55
If: Quadrilateral with 4 congruent sides Then: Rhombus
Definition Rhombus
56
If: Parallelogram with diagonals perpendicular Then: Rhombus
(theorem)
57
If: Parallelogram where diagonals bisect all s Then: Rhombus
(theorem)
58
If: Quadrilateral with 4 right s Then: Rectangle
Definition of Rectangle
59
If: Parallelogram with diagonals congruent Then: Rectangle
(theorem)
60
If: Quadrilateral that is a rhombus & a rectangle Then: Square
Definition of Square
61
If: Quadrilateral with exactly 1 pair of ll sides Then: Trapezoid
Definition of Trapezoid
62
If: Isosceles Trapezoid Then: Each pair of base s is congruent
(theorem)
63
If: Trapezoid has a pair of base s congruent Then: Isosceles Trapezoid
(theorem)
64
If: Trapezoid is isosceles Then: Diagonals are congruent
(theorem)
65
If: Midsegment of a trapezoid Then: It is parallel to the bases, and is 1/2 the sum of the bases
Midsegment Theorem For Trapezoids
66
If: Quadrilateral with 2 distinct pairs of consecutive sides congruent Then: Kite
Definition of Kite
67
If: Kite Then: Diagonals perpendicular
(theorem)
68
If: Kite Then: Exactly 1 pair of opposite s are congruent
(theorem)

Geometry Honors (7 decks)

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