Study sets matching "geometry theorems postulates"
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Segment addition postulate
Angle addition postulate
Through any two points
Through any three points there is at le…
If B is between A and C, then AB + BC = AC.
If point B lies in the interior of angle AOC, then measurement…
Through any two points there is exactly one line
Through any three points there is at least one plane, and thro…
Segment addition postulate
If B is between A and C, then AB + BC = AC.
Angle addition postulate
If point B lies in the interior of angle AOC, then measurement…
Postulate 1
Postulate 2
Postulate 3
Postulate 4
A line can be drawn through any two points
A segment can be extended indefinitely to form a straight line
A circle is determined by a center point and a fixed distance…
All right angles are congruent
Postulate 1
A line can be drawn through any two points
Postulate 2
A segment can be extended indefinitely to form a straight line
Radius
Chords
Tangents
Arcs
In a circle, a radius perpendicular to a chord bisects the cho…
In a circle, or congruent circles, congruent chords are equidi…
Tangent segments to a circle from the same external point are…
In the same circle, or congruent circles, congruent central an…
Radius
In a circle, a radius perpendicular to a chord bisects the cho…
Chords
In a circle, or congruent circles, congruent chords are equidi…
Side-Side-Side (SSS) Congruence
Side-Angle-Side (SAS) Congruence
Angle-Side-Angle (ASA) Congruence
Angle-Angle-Side (AAS) Congruence
If three sides of one triangle are congruent to three sides of…
If two sides and the included angle of one triangle are congru…
If two angles and the included side of one triangle are congru…
If two angles and the non-included side of one triangle are co…
Side-Side-Side (SSS) Congruence
If three sides of one triangle are congruent to three sides of…
Side-Angle-Side (SAS) Congruence
If two sides and the included angle of one triangle are congru…
Corresponding Angles
Corresponding Angles Converse
Alternate Interior Angles
Alternate Exterior Angles
If two parallel lines are cut by a transversal, then the pairs…
If two lines are cut by a transversal and the corresponding an…
If two parallel lines are cut by a transversal, then the alter…
If two parallel lines are cut by a transversal, then the alter…
Corresponding Angles
If two parallel lines are cut by a transversal, then the pairs…
Corresponding Angles Converse
If two lines are cut by a transversal and the corresponding an…
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then mPQS + mSQR = m PQR. (bas…
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary.
Angle Addition Postulate
If S is in the interior of PQR, then mPQS + mSQR = m PQR. (bas…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
Addition Prop. Of... equality
Subtraction Prop. Of... equality
Symmetric Property... of Equality
Transitive Property of... Equality
If the same number is added to equal... numbers, then the sums ar…
If the same number is subtracted from equal... numbers, then the…
If a = b then b = a
If a = b and b = c then a = c
Addition Prop. Of... equality
If the same number is added to equal... numbers, then the sums ar…
Subtraction Prop. Of... equality
If the same number is subtracted from equal... numbers, then the…
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary.
Angle Addition Postulate
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary.
Angle Addition Postulate
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Law of Detachment
Let A, B, and C be collinear points. If B is between A and C,…
Given line AB and a point O on line AB, all rays that can be d…
If B is in the interior of <AOC, then the m<AOB + m<BOC = m<AOC
if p->q is a true conditional statement, and p is true, then q…
Segment Addition Postulate
Let A, B, and C be collinear points. If B is between A and C,…
Protractor Postulate
Given line AB and a point O on line AB, all rays that can be d…
1.1 Ruler Postulate
1.2 Segment Addition Postulate
1.3 Protractor Postulate
1.4 Angle Addition Postulate
The points on a line can be matched one to one with the real n…
If B is between A and C, then ... AB + BC = AC.... If AB + BC = AC,…
Consider ⃖line OB⃗ and a point A on one side of line OB⃖⃗. The…
If P is in the interior of ∠RST, then the measure of ∠RST is e…
1.1 Ruler Postulate
The points on a line can be matched one to one with the real n…
1.2 Segment Addition Postulate
If B is between A and C, then ... AB + BC = AC.... If AB + BC = AC,…
segment addition postulate
definition of a midpoint
angle addition postulate
definition of a bisector
if B is between A and C then AB+BC=AC
a point that bisects/divides the segment into 2 congruent segm…
if S is in the interior of angle PQR then PQS+SQR=PQR
a ray that divides an angle into 2 congruent segments
segment addition postulate
if B is between A and C then AB+BC=AC
definition of a midpoint
a point that bisects/divides the segment into 2 congruent segm…
Parallelograms- About Sides
Parallelograms- About Angles
Parallelograms- About Diagonals
Parallelogram Converses- About Sides
If a quadrilateral is a parallelogram, the opposite... sides are…
* If a quadrilateral is a parallelogram, the opposite... angles…
* If a quadrilateral is a parallelogram, the diagonals... bisect…
* If both pairs of opposite sides of a quadrilateral... are para…
Parallelograms- About Sides
If a quadrilateral is a parallelogram, the opposite... sides are…
Parallelograms- About Angles
* If a quadrilateral is a parallelogram, the opposite... angles…
Segment congruence postulate
Segment addition postulate
Angle congruence postulate
Angle addition postulate
If two segements have the same length as measured by a fair ru…
If point R is between points P and Q on a line then; PR + RQ =…
If two angles have the same measure, then they are congruent.…
If point S is in the interior of angle PQR, then the measure o…
Segment congruence postulate
If two segements have the same length as measured by a fair ru…
Segment addition postulate
If point R is between points P and Q on a line then; PR + RQ =…
skew lines
postulate 13 - parallel postulate
postulate 14- perpendicular postulate
transversal
do not intersect an are not coplanar
If there is a line and a point is not on the line. then there…
If there is a line and a point on the line, then there is exac…
a line that intersects two or more coplanar lines at different…
skew lines
do not intersect an are not coplanar
postulate 13 - parallel postulate
If there is a line and a point is not on the line. then there…
ruler postulate
segment addition postulate
protractor postulate
angle addition postulate
the distance between points A and B, written as AB, is the abs…
if B is between A and C, then AB+BC=AC. if AB+BC=AC, the B is…
the measure of ∠AOB, which can be written as m∠AOB, is equal t…
if b is in the interior of ∠COA, then m∠COA is equal to the su…
ruler postulate
the distance between points A and B, written as AB, is the abs…
segment addition postulate
if B is between A and C, then AB+BC=AC. if AB+BC=AC, the B is…
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then m<PQS + m<SQR = m <PQR.
If B is between A & C, then AB + BC = AC
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary
Angle Addition Postulate
If S is in the interior of PQR, then m<PQS + m<SQR = m <PQR.
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary.
Angle Addition Postulate
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
Ruler postulate
Segment Addition postulate
Protractor postulate
Angle Addition Postulate
The points on a line can be matched one to one with the real n…
If B is between A and C the AB + BC = AC. IF AB + BC = AC, the…
Consider OB and a point A on one side of OB. The rays of the f…
If P is in the interior of < RST, then the measure of <RST is…
Ruler postulate
The points on a line can be matched one to one with the real n…
Segment Addition postulate
If B is between A and C the AB + BC = AC. IF AB + BC = AC, the…
Angle Addition Postulate
Segment Addition Postulate
Pythagorean Theorem
Linear Pair Theorem
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (bas…
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
In a right triangle, leg squared + leg squared = hypotenuse sq…
If two angles form a linear pair, then they are supplementary.
Angle Addition Postulate
If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (bas…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC. ... (basically means: 2…
Conditional statements
Deductive Reasoning
Law of Detatchment
Segment Addition Postulate
a statement that can be written in if/then form "if you study…
uses facts, rules, and definitions
A form of inductive reasoning that is sued to draw conclusions…
segments on the same line add to the larger line
Conditional statements
a statement that can be written in if/then form "if you study…
Deductive Reasoning
uses facts, rules, and definitions
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be paired with real numbers in such a…
If B is between A and C, then AB + BC = AC
On Line AB in a given plane, choose any point between A and B.…
If Point B lies in the interior of Angle AOC, then the measure…
Ruler Postulate
The points on a line can be paired with real numbers in such a…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Postulate 1-2
Postulate 1-3
Postulate 1-4
Ruler Postulate
If 2 distinct lines intersect, then they intersect in exactly…
If 2 distinct planes intersect, then they intersect in exactly…
Through any three noncollinear points there is exactly one pla…
Every point on a line can be paired with a real number. This m…
Postulate 1-2
If 2 distinct lines intersect, then they intersect in exactly…
Postulate 1-3
If 2 distinct planes intersect, then they intersect in exactly…