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Geometry > Congruence > Flashcards

Congruence Flashcards

0
Q

Independent statements

A

Don’t depend on anything else to prove it is what it is

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1
Q

What triangle congruence cannot be trusted

A

SSA,ASS,AAA do not guarantee congruency

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2
Q

Dependent statements

A

Depend on independent statements to prove it is what it is

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3
Q

What happens if a shape is regular

A

All of it’s sides and interior angles are congruent

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4
Q

Definition of a midpoint

A

Midpoint will divide one line into two equal parts

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5
Q

Reflexive property

A

A line is equal to itself

DF is congruent to DF

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6
Q

Addition property of equality

A

If equal quantities are added to equal quantities, the sums are equal
AB+BC=DC+CB

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7
Q

Substitution

A

A quantity may be substituted for its equal in an expression
AB+BC=AC
DC+CB=DB
AB+BC=DC+CB-> AC=DB

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8
Q

Segment addition

A

2 segments are added together to make a longer segment

AB+BC=AC

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9
Q

Vertical angles are congruent

A

2 intersecting lines form 2 sets of vertical angles which are congruent to each other

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10
Q

Supplements of angles are congruent

A

Adjacent angles will create 180° therefore if angles are proven congruent by a triangle congruence, then it’s adjacent angles will be equal as well

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11
Q

Compliments of angles are congruent

A

Adjacent angles will create 90° therefore if angles are proven congruent by a triangle congruence, then it’s adjacent angles will be equal as well

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12
Q

Linear pair

A

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

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13
Q

Base angle theory for isosceles triangles

A

If 2 sides of a triangle are congruent, then their base angles are congruent as well

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14
Q

Base angle converse for isosceles triangles

A

If two sides of a triangle are congruent, then their opposite angles are congruent as well

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15
Q

SSS TRIANGLE CONGRUENCE

A

If 3 sides of 1 triangle are congruent to 3 sides of another triangle then the triangles are congruent

16
Q

SAS TRIANGLE CONGRUENCE

A

If 2 sides and the included angle of 1 triangle are congruent to the sir responding parts of another triangle, then the triangles are congruent

17
Q

ASA TRIANGLE CONGRUENCE

A

If 2 angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

18
Q

AAS triangle congruence

A

If 2 angles and the non included side of 1 triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

19
Q

CPCTC

A

Corresponding Parts of Congruent Triangles are Congruent, usually comes after proof that two triangles are congruent

20
Q

Hypotenuse leg congruence for right triangles

A

Hypotenuse and 1 leg of right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent

21
Q

Leg leg congruence for right triangles

A

If the leg and leg of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent

22
Q

Leg acute angle congruence for right triangles

A

If 1 leg and an acute angle of a right triangle are congruent to one leg and the corresponding acute angle of another right triangle, then the triangles are congruent

23
Q

Hypotenuse acute angle congruence right triangle

A

Hypotenuse and leg of right triangle are congruent to hypotenuse and corresponding leg of another right triangle then the triangles are congruent

24
Q

Corresponding angles

A

If 2 parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

25
Q

Corresponding angles converse

A

If 2 lines are cut by a transversal and the corresponding angles are congruent the lines are parallel

26
Q

Alternate interior angles are congruent

A

If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent

27
Q

Alternate exterior angles are congruent

A

If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent

28
Q

Alternate interior angles converse

A

If 2 lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel

29
Q

Alternate exterior angles converse

A

If 2 lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel

30
Q

Transitive property

A

Bridge
AB is congruent to CD
CD is congruent to EF
Therefore AB is congruent to EF

31
Q

What does SSA produce ?

A

Ambiguity not reliable ! Don’t use

Geometry (3 decks)

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