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Section 1

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Symmetric Property of Equality

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Geometry Math

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Mar 1, 2020

Cards (27)

Section 1

(27 cards)

Symmetric Property of Equality

Front

if a=b, then b=a

Back

Triangle Proportionality Theorem

Front

If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.

Back

Circumcenter theorem

Front

The circumcenter of a triangle is equidistant from the vertices of the triangle

Back

centroid theorem

Front

The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side

Back

1. midsegment of a triangle, 2. the midpoints of two sides, 3. three midsegments, 4. midsegment triangle

Front

1.___ is a segment that joins 2. of the triangle. Every triangle has 3., which form the 4..

Back

Angle Bisector Theorem

Front

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.

Back

Congruent Complements Theorem

Front

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

Back

Incenter theorem

Front

The incenter of a triangle is equidistant from the sides of the triangle.

Back

Substitution property of equality

Front

If a=b, then a may be replaced by b in any equation or expression

Back

Subtraction Property of Equality

Front

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

Back

Division Property of Equality

Front

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

Back

Perpendicular Bisector theorem

Front

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Back

Transitive Property of Equality

Front

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

Back

Converse of the angle bisector theorem

Front

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle

Back

Side-Angle-Side Similarity Theorem

Front

if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar

Back

Right Angle Congruence Theorem

Front

All right angles are congruent

Back

Angle-Angle Similarity Postulate

Front

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Back

Multiplication Property of Equality

Front

If a=b, then ac=bc

Back

Congruent Supplements Theorem

Front

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

Back

Addition Property of Equality

Front

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

Back

Two-transversal Proportionality (corollary)

Front

If three or more parallel lines intersect two transversals, then they divide the transversals proportionally.

Back

Converse of the Perpendicular Bisector Theorem

Front

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Back

Side-Side-Side Similarity Theorem

Front

If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar

Back

Linear Pair Theorem

Front

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

Back

Triangle midsegment theorem

Front

A midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side

Back

Reflexive Property of Equality

Front

a=a

Back

Converse of the triangle proportionality theorem

Front

If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Back

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Symmetric Property of Equality

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Cards (27)

Symmetric Property of Equality

if a=b, then b=a

Triangle Proportionality Theorem

If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.

Circumcenter theorem

The circumcenter of a triangle is equidistant from the vertices of the triangle

centroid theorem

The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side

1. midsegment of a triangle, 2. the midpoints of two sides, 3. three midsegments, 4. midsegment triangle

1.___________________________ is a segment that joins 2.__________________________ of the triangle. Every triangle has 3.______________________________, which form the 4.________________________.

Angle Bisector Theorem

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.

Congruent Complements Theorem

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

Incenter theorem

The incenter of a triangle is equidistant from the sides of the triangle.

Substitution property of equality

If a=b, then a may be replaced by b in any equation or expression

Subtraction Property of Equality

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

Division Property of Equality

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

Perpendicular Bisector theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Transitive Property of Equality

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

Converse of the angle bisector theorem

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle

Side-Angle-Side Similarity Theorem

if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar

Right Angle Congruence Theorem

All right angles are congruent

Angle-Angle Similarity Postulate

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Multiplication Property of Equality

If a=b, then ac=bc

Congruent Supplements Theorem

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

Addition Property of Equality

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

Two-transversal Proportionality (corollary)

If three or more parallel lines intersect two transversals, then they divide the transversals proportionally.

Converse of the Perpendicular Bisector Theorem

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Side-Side-Side Similarity Theorem

If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar

Linear Pair Theorem

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

Triangle midsegment theorem

A midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side

Reflexive Property of Equality

a=a

Converse of the triangle proportionality theorem

If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

1.___ is a segment that joins 2. of the triangle. Every triangle has 3., which form the 4..