Chapter 7

Chapter 7

​Angles and Lines

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Various Names:

​Plane: A plane is a 2-D surface that extends forever. An example of a plane is the Coordinate Plane. Notice there is an x and y-axis.

​Line: A line is made up of at least two (labeled) points and extends forever in both directions.

Ray: A ray is like a line, except it only extends forever in one direction.

Line Segment: A line segment is a part of a line. The line ends at the two endpoints.

​Collinear: To be collinear, all points must be on the same line.

Opposite Rays: Opposite rays are rays that extend in opposite directions. They must share a starting point.​

Subject | Subject

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​A. What are two other names for line DG?

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B. Name two opposite rays:

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C. Name 3 collinear points:​

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D. ​Where would plane IGD intersect plane P?

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More Names:

​Acute Angles: Angles less than 90 degrees.

Obtuse Angles: Angles that are more than 90 degrees.

Right Angles: Angles that are exactly 90 degrees.

Straight Angles: Angles that are 180 degrees (a straight line).

Adjacent Angles: Angles that are next to each other.

Complementary Angles: Angles that sum to 90 degrees.

Supplementary Angles: Angles that sum to 180 degrees.​

Subject | Subject

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​Ex: Two angles are supplementary, their measures are 2x - 5 and 3x - 15. What are the actual measures of the angles?

​A. Two angles are supplementary. Their measures are 3x + 5 and 2x + 15. What are the actual measures of the angles?

Even More Names:

​Bisect: To cut in half. Usually a line or an angle.

Congruent: The geometric way to say "the same".​

Midpoint: The point that lies directly in the middle of a line.

Distance Between Points: To find the distance between points, we can use the distance formula:

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Subject | Subject

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​Ex: Find the distance between the two points (1,5) and (6, 3).

​A. Find the distance between the two points (2,1) and (1,2).

​EX: Find the midpoint of the two coordinates, (1,7) and (3,9)

​A. Find the midpoint of the two points, (12,4) and (9, 5)