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Angle Relationships

Angle Relationships. Insert Lesson Title Here. Vocabulary. Point line segment ray angle Perpendicular Parallel right angle acute angle obtuse angle congruent. C. l. B. GH. line l , or BC. A point names a location. • A. Point A.

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Angle Relationships

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  1. Angle Relationships

  2. Insert Lesson Title Here Vocabulary Point line segment ray angle Perpendicular Parallel right angle acute angle obtuse angle congruent

  3. C l B GH line l, or BC A point names a location. • A Point A A line is perfectly straight and extends forever in both directions. A segment, or line segment, is the part of a line between two points. H G

  4. A ray is a part of a line that starts at one point and extends forever in one direction. J KJ K N J M Parallel lines are two lines that never cross K T M Perpendicular lines are two lines that form a 900 angle. A H

  5. An angle () is formed by two rays with a common endpoint called the vertex (plural, vertices). Angles can be measured in degrees. m1 means the measure of 1. The angle can be named XYZ, ZYX, 1, or Y. The vertex must be the middle letter. X 1 m1 = 50° Y Z

  6. G H J F K The measures of angles that fit together to form a straight line, such as FKG, GKH, and HKJ, add to 180°. A right angle measures 90°. An acute angle measures less than 90°. An obtuse angle measures greater than 90° and less than 180°. Complementary angles have measures that add to 90°. Supplementary angles have measures that add to 180°.

  7. Reading Math A right angle can be labeled with a small box at the vertex.

  8. EX1) Name a right angle in the figure. TQS EX2) Name two acute angles in the figure. TQP, RQS EX3) Name two obtuse angles in the figure. SQP, RQT

  9. EX4) Name a pair of complementary angles. TQP, RQS mTQP + mRQS = 47° + 43° = 90° EX5) Name two pairs of supplementary angles. TQP, RQT mTQP + mRQT = 47° + 133° = 180° mSQP + mSQR = 137° + 43° = 180° SQP, SQR

  10. Notes

  11. Angle Relationships Date _________________

  12. A point A line A segment,

  13. A ray Parallel lines l Perpendicular lines

  14. G H J F K The measures of angles that fit together to form a straight line, such as FKG, GKH, and HKJ, add to 180°. A right angle An acute angle An obtuse angle Complementary angles Supplementary angles

  15. EX1) Name a right angle in the figure. EX2) Name two acute angles in the figure. EX3) Name two obtuse angles in the figure.

  16. EX4) Name a pair of complementary angles. EX5) Name two pairs of supplementary angles.

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