# Study sets matching "geometry properties"

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Reflexive property of equality

Symmetric property of equality

Transitive property of equality

Substitution property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Flip things around with a equals sign (2x=a)

Train effect, if a=b and b=c then a=c

Allows you to substitute with an equivalent value (7+15+2x, 22…

Reflexive property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Symmetric property of equality

Flip things around with a equals sign (2x=a)

Addition Property Of Equality (POE)

Subtraction POE

Multiplication POE

Division POE

if a = b, then a + c = b + c

if a = b, then a - c = b - c

If a = b, then ac = bc

if a = b and c =/ 0, then a/c = b/c

Addition Property Of Equality (POE)

if a = b, then a + c = b + c

Subtraction POE

if a = b, then a - c = b - c

Addition Property

Subtraction Property

Division Property

Multiplication Property

If A = B, then A + C = B + C

If A = B, then A - C = B - C

If A = B, then A/C = B/C as long as C isn't 0.

If A = B, then AxC = BxC

Addition Property

If A = B, then A + C = B + C

Subtraction Property

If A = B, then A - C = B - C

Right angle Theorem

supplementary theorem

complementary angle theorem

complementary

All right angles are congruent

if angle 1 is sup angle 2 and angle 1 is sup to angle 3 then a…

if angle 4 is comp to angle 5 then angle 4 is comp to angle 6…

= 2 angles that add up to 90

Right angle Theorem

All right angles are congruent

supplementary theorem

if angle 1 is sup angle 2 and angle 1 is sup to angle 3 then a…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division property of Equality

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

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

If a=b, then a times c= b times c

If a=b and c does not equal 0, then a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

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

Conditional statement

Hypothesis

conclusion

converse

A statement that can be written in the form "if p, then q".

The part p of a conditional statement following the word "if"

the part q of a conditional statement following the word "then"

formed by switching the hypothesis and conclusion from the con…

Conditional statement

A statement that can be written in the form "if p, then q".

Hypothesis

The part p of a conditional statement following the word "if"

Properties of a Parallelogram

Properties of a Rectangle

Properties of a Rhombus

Properties of a Square

opposite sides parallel... opposite sides congruent ... consecutive…

Fab 5... Diagonals are congruent... all angles are 90*

Fab 5... Diagonals perpendicular ... Sides congruent... Diagonals bisec…

Fab 5... Rectangle rules... Rhombus rules

Properties of a Parallelogram

opposite sides parallel... opposite sides congruent ... consecutive…

Properties of a Rectangle

Fab 5... Diagonals are congruent... all angles are 90*

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

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

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

If a = b, then (a)(c) = (b)(c)

If a = b, c not equal to "zero", then a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

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

Reflexive Property of Equality

Reflexive Property of Equality

Reflexive Property of Congruence

Reflexive Property of Congruence

For any angle A, m∠A = m∠A

For any segment AB, AB = AB

Reflexive Property of Equality

For any angle A, m∠A = m∠A

Reflexive Property of Equality

For any segment AB, AB = AB

Rhombus

Parallelogram

Isosceles trapezoid

Sqaure

A parallelogram with four congruent sides... Angles are bisected…

Opposite sides congruent ... Opposite sides parallel... Oppocite ang…

= leg common... 2 pairs congruent to base angles ... congruent diago…

******ALL PROPERTIES OF OTHER FIGURES!... 2 pairs of consecutiv…

Rhombus

A parallelogram with four congruent sides... Angles are bisected…

Parallelogram

Opposite sides congruent ... Opposite sides parallel... Oppocite ang…

addition property

subtraction property

multiplication property

division property

If a = b, the a + c = b + c.

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

If a = b, then a x c = b x c.

If a = b, and c is not equal to 0, then a/c = b/c.

addition property

If a = b, the a + c = b + c.

subtraction property

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

A parallelogram is a quadrilateral in w…

A diagonal divides a parallelogram into…

Opposite sides of a parallelogram are...

Opposite angles of a parallelogram are.…

two pairs of opposite sides are parallel.

two congruent triangles.

congruent.

congruent.

A parallelogram is a quadrilateral in w…

two pairs of opposite sides are parallel.

A diagonal divides a parallelogram into…

two congruent triangles.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b, then b = a

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

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

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b, then b = a

Addition Property Of Equality (POE)

Subtraction POE

Multiplication POE

Division POE

if a = b, then a + c = b + c

if a = b, then a - c = b - c

If a = b, then ac = bc

if a = b and c =/ 0, then a/c = b/c

Addition Property Of Equality (POE)

if a = b, then a + c = b + c

Subtraction POE

if a = b, then a - c = b - c

Congruent Circles

Concentric Circles

Radius

Chord

Circles with the same radius.

Circles that share the same center.

A line segment that extends from the center to the outside of…

A line segment with endpoints on the circle.

Congruent Circles

Circles with the same radius.

Concentric Circles

Circles that share the same center.

Addition Property

Subtraction Property

Multiplication Property

Division Property

If you have x - 10 = 2, you may add ten to both sides and rewr…

If you have x + 9 = 12, you may subtract nine from both sides…

If you have x ÷ 4 = 17, you may multiply four to both sides an…

If you have x • 5 = 35, you may divide five to both sides and…

Addition Property

If you have x - 10 = 2, you may add ten to both sides and rewr…

Subtraction Property

If you have x + 9 = 12, you may subtract nine from both sides…

addition property

subtraction property

transitive property

multiplication property

a = c --> a + b = c + b

4 = x + 9 --> 2 = x + 7

angle 3 = angle 4 and angle 4 = angle 10 so angle 10 = angle 3

30 = AB + 25 --> 60 = 2AB + 50

addition property

a = c --> a + b = c + b

subtraction property

4 = x + 9 --> 2 = x + 7