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Makayla 10th Grade > Geometry Ch 3 - Parallel and Perpendicular Lines > Flashcards

Geometry Ch 3 - Parallel and Perpendicular Lines Flashcards

1
Q

What is a Transversal?

A

A line that intersects two coplanar lines at two distinct points.

Example: The diagram shows the eight angles formed by a transveral t and two lines l and m.

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2
Q

What are Alternate Interior Angles?

A
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3
Q

What are Same Side Interior Angles?

A
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4
Q

What are Corresponding Angles?

A
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5
Q

What is the Corresponding Angles Postulate?

A
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6
Q

What is the Alternate Interior Angles Theorem?

A
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7
Q

What is the Same-Side Interior Angles Theorem?

A
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8
Q

What is the Alternate Exterior Angles Theorem?

A
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9
Q

What is the Same-Side Exterior Angles Theorem?

A
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10
Q

What is the Converse of the Corresponding Angles Postulate?

A
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11
Q

What is the Converse of the Alternate Interior Angles Theorem?

A
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12
Q

What is the Converse of the Same-Side Interior Angles Theorem?

A
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13
Q

What is the Converse of the Alternate Exterior Angles Theorem?

A
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14
Q

If two lines are parallel to the same line, then…

A

they are parallel to each other.

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15
Q

In a plane, if two lines are perpendicular to the same line, then…

A

they are perpendicular to each other.

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16
Q

What is the Triangle Angle-Sum Theorem?

A

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

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17
Q

What is an Equiangular Triangle?

A

A triangle with all angles congruent.

18
Q

What is an Acute Triangle?

A

A triangle with all angles acute.

19
Q

What is a Right Triangle?

A

A triangle with one right angle.

20
Q

What is an Obtuse Triangle?

A

A triangle with one obtuse angle.

21
Q

What is an Equilateral Triangle?

A

A triangle with all sides congruent.

22
Q

What is an Isosceles Triangle?

A

A triangle with at least two sides congruent.

23
Q

What is a Scalene Triangle?

A

A triangle with no sides congruent.

24
Q

What is the Exterior and Interior Angles of a Polygon?

A
25
Q

What is the Triangle Exterior Angle Theorem?

A
26
Q

What is a Great Circle?

A

The intersection of a sphere and a plane that contains the center of the sphere.

27
Q

What is Euclid’s Parallel Postulate?

A

Through a point not on a line, there is one and only one line parallel to the given line.

28
Q

What is the Spherical Parallel Postulate?

A

Through a point not on a line, there is no line parallel to the given line.

29
Q

What is a Polygon?

A

A closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints, and no adjacent sides are collinear.

30
Q

What is a Convex Polygon?

A

A polygon having no diagonal with points outside the polygon.

31
Q

What is a Concave Polygon?

A

A polygon having at least one diagonal with points outside the polygon.

32
Q

What is the Polygon Angle-Sum Theorem?

A

The sum of the measures of the angles of an n-gon is (n - 2)180.

Note: By dividing a polygon with n sides into n - 2 triangles, you can show that the sume of the measures of the angles of any polygon is a multiple of 180.

33
Q

What is the Polygon Exterior Angle-Sum Theorem?

A

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

34
Q

What is an Equilateral Polygon?

A

A polygon having all sides congruent.

35
Q

What is an Equiangular Polygon?

A

A polygon having all angles congruent.

36
Q

What is a Regular Polygon?

A

A polygon that is both equilateral and equiangular.

37
Q

What is the Slope of a line?

A

The ratio of the vertical change (rise) to the horizontal change (run) between any two points (x1, y1) and (x2, y2) of the line.

Equation: Slope = Vertcal Change / Horizontal Change = rise / run = (y2 - y1) / (x2 - x1)

The slope of a line indicates the steepness of the line and whether it rises or falls from left to right.

38
Q

What is the Slope-Intercept Form of a linear equation?

A

y = mx + b, where m is the slope of the line, and b is the y-intercept.

39
Q

What is the Standard Form of Linear Equation?

A

Ax + By = C, where A, B and C are real numbers, A and B are not both zero.

Note: To graph an equation written in standard form, you can readily find two points for the graph by finding the x- and y-intercepts. See example.

40
Q

How do you convert a linear equation from Standard to Slope Intercept form?

A

Solve for y

41
Q

What is the Point-Slope Form for a Linear Equation?

A

For a nonvertical line through point (x1, y1) with slope m; y - y1 = m(x - x1)

42
Q
A

Makayla 10th Grade (13 decks)

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