Section 1

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Alternate Interior Angles Theorem

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Last updated

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Date created

Mar 1, 2020

Cards (45)

Section 1

(45 cards)

Alternate Interior Angles Theorem

Front

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Back

If a=b and b=c

Front

then a=c

Back

Alternate Exterior Angles Theorem

Front

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

Back

Subtraction Property

Front

If a=b, then a-c=b-c

Back

Right Angle Congruence Theorem

Front

All right angles are congruent

Back

If two angles are complements of the same angle (or of congruent angles)

Front

Then the two angles are congruent

Back

Linear Pair

Front

A pair of adjacent angles whose non-common sides are opposite rays

Back

If two parallel lines are cut by a transversal

Front

then corresponding angles are congruent

Back

Segment Addition Postulate

Front

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

Back

Symmetric, real numbers

Front

For any real numbers a and b, if a=b, then b=a

Back

Congruent Complements Theorem

Front

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

Back

If there is a line and a point not on the line

Front

then exactly one plane contains them

Back

Parallel Postulate

Front

If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

Back

Division Property

Front

If a=b, then a-c=b-c

Back

parallel lines

Front

coplanar lines that do not intersect

Back

Reflexive Property, real numbers

Front

For any real number a, a=a

Back

Addition Property

Front

If a=b, then a+c=b+c

Back

If a=a

Front

it is reflective

Back

transitive real numbers

Front

for any real number a,b, and c, if a =b and b=c, then a=c

Back

Congruent Supplements Theorem

Front

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

Back

Substitution Property of Equality

Front

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

Back

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

Front

Then they are congruent

Back

If two angles are complements of the same angle (or of congruent angles)

Front

Then the two angles are congruent

Back

If two points lie in a plane

Front

then the line containing them lies in the plane

Back

Consecutive Interior Angles Theorem

Front

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Back

Angle Addition Postulate

Front

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

Back

If B is between A and C

Front

then AB+BC=AC

Back

linear pair Postulate

Front

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

Back

Reflexive, angle measure

Front

For any angle A, m<A=m<A

Back

skew lines

Front

do not intersect and are not coplanar

Back

transitive, segment length

Front

If AB=CD and CD=EF, then AB=EF

Back

If they are vertical angles

Front

Then they are congruent

Back

Symmetric angle measure

Front

If m<A=m<B, then m<B=m<A

Back

Reflexive, segment length

Front

For any segment AB, AB=AB

Back

If they are right angles

Front

Then they are congruent

Back

transitive, angle measure

Front

If m<A=m<B and m<B=m<C, then m<A=m<C

Back

Vertical Angles Theorem

Front

Vertical angles are congruent

Back

If a=b

Front

then a-c=b-c

Back

Perpendicular

Front

They intersect to from a right angle

Back

Symmetric, segment length

Front

If AB=CD, then CD=AB

Back

If two parallel lines are cut by a transversal

Front

then alternate interior angles are congruent

Back

perpendicular postulate

Front

If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

Back

Multiplication Property

Front

If a=b, then ac=bc

Back

If two lines are perpendicular

Front

then they intersect to form four right angles

Back

If P is in the interior of <RST

Front

then m<RSP + m<PST = m<RST

Back