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Pythagorean Theorem

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Last updated

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Date created

Mar 1, 2020

Cards (31)

Section 1

(31 cards)

Pythagorean Theorem

Front

Back

Angle - side - angle

Front

If two angles and the included side of one triangle are congruent to two angles and that included side of another triangle, then the two triangles are congruent

Back

Rotation 180 degrees

Front

(x, y) = (-y, -x)

Back

Vertical Angles

Front

A pair of opposite congruent angles formed by intersecting lines

Back

Altitude of a triangle

Front

the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

Back

Same side interior angles

Front

The two angles that are inside (interior) the parallel lines and are on the same side of the transversal Are SUPPLEMENTARY (add up to 180 degrees)

Back

Adjacent angles

Front

Two angles that share a common side and have the same vertex

Back

Supplementary angles

Front

Angles whose measure adds up to 180 degrees.

Back

Distance formula

Front

Back

Slope-intercept format of a line

Front

y = mx + b m = slope b = y intercept (0, b)

Back

Angle - angle - side

Front

if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent

Back

Corresponding angles

Front

Angles that have the same position on two different parallel lines cut by a transversal.

Back

Median of a triangle

Front

A segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side

Back

Rotation 90 degrees clockwise

Front

(x, y) = (y, -x)

Back

Complimentary angles

Front

Angles whose measure adds up to 90 degrees.

Back

Congruent angles or sides

Front

Angles or line segments that have the same measure

Back

Alternate Interior Angles

Front

The angles that are on opposite (or alternate) sides of the transversal and are on the INSIDE (or interior) of the parallel lines. They are EQUAL (congruent) to one another.

Back

Side - angle - side

Front

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent

Back

Rotation 90 degrees counterclockwise

Front

(x, y) = (-y, x)

Back

Formula for midpoint

Front

Back

Slopes of perpendicular lines

Front

The slopes of these types of lines are negative reciprocals

Back

Perpendicular bisector

Front

A line that is perpendicular to a segment at its midpoint.

Back

Formula for slope (from 2 points)

Front

rise / run

Back

Standard form of a line

Front

Ax + By = C

Back

Point-slope form of a line

Front

Back

Hypotenuse - leg

Front

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent

Back

Slopes of parallel lines

Front

The slopes of these types of lines are equivalent

Back

Side - side - side

Front

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent

Back

Colinear points

Front

Points that lie on the same line

Back

Alternate Exterior Angles

Front

The angles that are on opposite (or alternate) sides of the transversal and are on the OUTSIDE (or exterior) of the parallel lines. They are EQUAL (congruent) to one another.

Back

Angle bisector

Front

a ray that divides an angle into two congruent angles

Back