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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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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 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
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
An angle () is formed by two rays with a common endpoint called the vertex (plural, vertices). Angles can be measured in degrees. m1 means the measure of 1. The angle can be named XYZ, ZYX, 1, or Y. The vertex must be the middle letter. X 1 m1 = 50° Y Z
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°.
Reading Math A right angle can be labeled with a small box at the vertex.
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
EX4) Name a pair of complementary angles. TQP, RQS mTQP + mRQS = 47° + 43° = 90° EX5) Name two pairs of supplementary angles. TQP, RQT mTQP + mRQT = 47° + 133° = 180° mSQP + mSQR = 137° + 43° = 180° SQP, SQR
Angle Relationships Date _________________
A point A line A segment,
A ray Parallel lines l Perpendicular lines
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
EX1) Name a right angle in the figure. EX2) Name two acute angles in the figure. EX3) Name two obtuse angles in the figure.
EX4) Name a pair of complementary angles. EX5) Name two pairs of supplementary angles.