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This set, has all the terms you need to know for learning angle congruency, and theorems for congruency proofs

1

skew lines

Lines that do not intersect and are not coplanar

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2

Transversal Line

a line that intersects two or more coplanar lines

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3

corresponding angles

lie on the same side of the transversal

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4

with same positions

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5

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the transversal

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6

same side interior angles

two interior angles on the same side of the transversal

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7

alternate exterior angles

nonadjacent exterior angles that lie on opposite sides of the transversal

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8

same side exterior angles

two exterior angles on the same side of the transversal

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9

vertical angles theorem

Vertical angles are congruent

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10

congruent supplements therom

If two angles are supplementary to the same angle, then the two angles are congruent

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11

Congruent Complements Theorem

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

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12

same side interior angles postulate

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

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13

alternate interior angles theorem

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

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14

corresponding angles theorem

If a transversal intersects two parallel lines, then the corresponding angles are congruent.

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15

alternate exterior angles theorem

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

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16

Converse of the Corresponding Angles therom

If two lines and transversal form corresponding angles that are congruent, then the lines are parallel.

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17

Converse of the Alternate Interior Angles Theorem

If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.

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18

Converse of Alternate Exterior Angles therom

If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.

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19

parrallel postulate

If there is a line and a point not on the line, then there is exactly one line parallel to the given line.

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20

Triangle Angle Sum Theorem

The sum of the measures of the angles of a triangle is 180.

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21

perpendicular transversal theorem

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

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22

exterior angle of a polygon

an angle formed by a side and an extension of an adjacent side

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23

remote interior angles

the angles of a triangle that are not adjacent to a given exterior angle

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24

Parallel Postulate

If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

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25

Slope

The steepness of a line on a graph rise over run

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26

point slope form

y-y1=m(x-x1)

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27

slope-intercept form

y=mx+b

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