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24 Cards in this Set

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SSS Postulate

Two triangles are congruent if the 3 sets of corresponding sides are congruent.  Stands for Side-Side-Side

Two triangles are congruent if the 3 sets of corresponding sides are congruent. Stands for Side-Side-Side



SAS Postulate

Two triangles are congruent if 2 sides and the angle in between on one triangle are congruent to 2 sides and the included angle of another triangle.
Stands for Side-Angle-Side

Two triangles are congruent if 2 sides and the angle in between on one triangle are congruent to 2 sides and the included angle of another triangle.


Stands for Side-Angle-Side

ASA Postulate

Two triangles are congruent if 2 angles and the side in between them on one triangle are congruent to 2 angles and the side in between of another triangle. Stands for Angle-Side-Angle

AAS Theorem

If 2 angles and a non-included side of one triangle are congruent to 2 angles and a non-included of another triangle. Stands for Angle-Angle-Side

HL Theorem

Two RIGHT triangles are congruent if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle.


Stands for Hypotenuse-Leg

Congruent Figures

Figures that have the same size and shape.

Congruency Transformations

Transformations that result in congruent figures: Translations, Reflections, and Rotations

Corresponding Angles

Angle pairs in the same corners but on different parallel lines.
Angle pairs in the same corners but on different parallel lines.

Alternate Interior Angles

Angle pairs on the inside of the parallel lines and opposite sides of the transversal.

Angle pairs on the inside of the parallel lines and opposite sides of the transversal.

Alternate Exterior Angles

Angle pairs on the outside of the parallel lines and opposite sides of the transversal.

Angle pairs on the outside of the parallel lines and opposite sides of the transversal.

Equilateral Triangle

Triangle with three sides of equal length and three angles of equal measure.

Triangle with three sides of equal length and three angles of equal measure.

Isosceles Triangle

Triangle with two sides of equal measure and congruent base angles.

Triangle with two sides of equal measure and congruent base angles.

Scalene Triangle

Triangle with 3 different side lengths.

Triangle with 3 different side lengths.

Obtuse Triangle

Triangle with one angle larger than 90°.

Triangle with one angle larger than 90°.

Right Triangle

Triangle with one 90° angle.

Triangle with one 90° angle.

Acute Triangle

Triangle with three angles less than 90°.

Triangle with three angles less than 90°.

Triangle Angle Sum Theorem

The angles of any triangle add up to 180°.

Perpendicular Bisector

A line that divides a line segment into two equal parts. It also makes a right angle with the line segment.

Transversal

A line that cuts through two or more lines.

Supplementary Angles

Angles whose measures add up to 180°.

Complementary Angles

Angles that add up to 90°. Together they form a right angle.

Vertical Angles

The opposite angles created by 2 intersecting lines are congruent.

Adjacent Angles

Two angles that share a side and vertex.

Congruent Angles

Angles with equal measure.