Geomtetry Unit 3 - Parallel and Perpendicular Lines Flashcards

1
Q

Parallel Lines

A

Co-planar; do not intersect

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2
Q

Skew Lines

A

Non-coplanar; do not intersect

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3
Q

Parallel Planes

A

Do not intersect

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4
Q

Transversal

A

Line that intersects with 2 or more lines

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5
Q

Alternate Interior Angles

A

Non-adjacent angles that lie on opposite sides of the transversal.

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6
Q

Same-side Interior Angles

A

On same side of transversal

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7
Q

Corresponding Angles

A

Same side of transversal, same angle

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8
Q

Alternate Exterior Angles

A

Non-adjacent angles on opposite sides

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9
Q

Corresponding Angles Postulate

A

If therea re 2 parallel lines then ocoresponding angles are congruent

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10
Q

Alternate Interior Angles Theorem

A

If a transversal intersects two parallel lines, then alternate interior angles are congruent

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11
Q

Same-side Interior Angles Theorem

A

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

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12
Q

Alternate Exterior Angles Theorem

A

If transversl intersects two parallel lines, then alternate exterior angles are congruent.

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13
Q

Postulate: Converse of the Corresponding Angles Postulate

A

2 lines cut by transversal: corresponding angles, alternate interior angles, and alternate exterior angles are congruent; same side angles = 180; lines are parallel

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14
Q

Theorem: Converse of the Alternate Interior Angles Theorem

A

If same side angles = 180 then lines are parallel

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15
Q

Theorem: Converse of the Same-Side Interior Angles Theorem

A

If same side angles = 180 then liness are parallel

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16
Q

Theorem: Converse of the Alternate Exterior Angles Theorem

A

If alterate exterior angles are congruent then lines are parallel

17
Q

Triangle Sum Theorem

A

M<A + M<B + M<C = 180

18
Q

Triangle Exterior Angle Theorem

A

Two interior angles are congruent to the exterior angle

19
Q

Slope-Intercept form

A

y=mx+b

20
Q

Slope

A

y1-y2/x1-x2

21
Q

Point-Slope

A

y-y1=m(x-x1)