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Lines, Segments, and Rays. Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name.

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Presentation on theme: "Lines, Segments, and Rays. Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name."— Presentation transcript:

1 Lines, Segments, and Rays

2 Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name it

3 Line Segment  A line segment is part of a line between two points. The two points of the line segment are used to name the line segment Line segments are congruent if they have the same measure The symbol for congruence is ≈

4 Ray  A ray is part of a line that starts at an endpoint and extends forever in one direction. A ray is named starting with its endpoint first and then any other point on the ray second

5 Intersecting Lines  Intersecting Lines are lines that cross at exactly one point. Lines l and m intersect at Q.

6 Perpendicular Lines  Perpendicular lines are lines that intersect to form 90° angles. The symbol ⊥ is used to denote perpendicular lines. Line l ⊥ m

7 Parallel Lines  Parallel lines are lines that never intersect The symbol // is used to denote parallel lines. Line l // m

8 Angles

9  An angle is formed by two rays sharing a common endpoint called a vertex. ray vertex The rays are the sides of the angle The endpoint is the vertex The name of the angle in the figure can be called <CAB

10 Classifying Angles

11 Acute Angles  Acute angles are angles that measure is greater than 0° and less than 90°. Which angles are not acute? 1 2 3 4 5

12 Right Angles  Right angles are angles whose measure is exactly 90°. Which angle is a right angle? 1 2 3 4 5

13 Obtuse Angles  Obtuse angle are angles whose measure is greater than 90° and less than 180° Which angle is an obtuse angle? 1 2 3 4 5

14 Straight Angles  Straight angles are angles whose measure is exactly 180°. What’s another name for straight angles? Which is not a straight angle? 1 2 This is a ray. It only goes in one direction.

15 Adjacent Angles  Adjacent angles are angles that share a common vertex. Adjacent angles are next to each other? Which pair of angles are not adjacent? 2. These angles are across from each other. 1. 3. 4.

16 Vertical Angles  Vertical angles are opposite angles formed by interesecting lines. They are congruent. Which angles not vertical angles? 1. 4. These are adjacent angles. 2.3. These are adjacent angles.

17 Supplementary Angles  Supplementary angles are angles whose sum is 180°. Which pair of angles are not supplementary? 1. 2. 3.4.

18 Complementary Angles  Complementary angles are angles whose sum is 90°. Which pair of angles are not complementary? 1. 2.3.4.

19 Linear Pair  Linear Pair are two angles that form a straight line What is the sum of the angles? Which angles are not linear pairs? 1. 2. 3. 4.


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