Chapter 9: Parallel Lines Flashcards

0
Q

Transversal

A

A line that intersects two other coplanar lines in two different points

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1
Q

Parallel Lines

A

Lines that do not intersect

2 types:
Lines that have no points in common
Line that have all points in common

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2
Q

Alternate Interior Angles

A

Opposite sides of the transversal

Congruent

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3
Q

Alternate Exterior Angles

A

Opposite sides of the transversal

Congruent

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4
Q

Corresponding Angles

A

One interior and one exterior angle that are on the same side of the transversal
Congruent

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5
Q

Interior Angles on the Same Side of the Transversal

A

Supplementary

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6
Q

If two coplanar lines are each perpendicular to the same line, then they are

A

Parallel

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7
Q

Two coplanar lines cut by a transversal are parallel if and only if

A

the alternate interior angles formed are congruent

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8
Q

If two parallel lines are cut by a transversal

A

then the corresponding angles are congruent

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9
Q

If two of three lines in the same plane are each parallel to the third line

A

then they are parallel to each other

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10
Q

If two non-vertical lines in the same plane are parallel

A

then they have the same slope

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11
Q

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

A

180

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12
Q

The sum of the measures of the angles of a quadrilateral is

A

360

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13
Q

The measure of an exterior angle of a triangle is equal to the sum

A

of the measures of the nonadjacent angles

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14
Q

Isosceles Triangle Theorem

A

If two sides of a triangle are congruent then the angles opposite these sides are congruent

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15
Q

Polygon

A

A closed figure that is the union of line segments in a plane

16
Q

Convex Polygon

A

A polygon in which each of the interior angles measures less than 180 degrees

17
Q

Concave Polygon

A

A polygon in which at least one interior angle measures more than 180 degrees

18
Q

Consecutive

A

Next to (adjacent)

19
Q

Diagonal

A

A line segment whose endpoint are two nonadjacent vertices

20
Q

The sum of the measures of the interior angles of a polygon of n sides is

A

180(n-2)

21
Q

Regular Polygon

A

A polygon that is both equilateral and equiangular

22
Q

Angle, Angle, Side

A

If two angles and the side opposite one of them in one triangle are congruent to the corresponding angles and the side in another triangle, then the triangles are congruent

23
Q

Hypotenuse - Leg

A

If the hypotenuse and a leg of one triangle are congruent to the corresponding parts of the other, then the two RIGHT TRIANGLES are congruent