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Lines and Angles Vocab

Lines and Angles Vocab. Quick Review : Classify angles by size. Classify angles by size. Acute: 0<90 . Right: 90 . Obtuse: 90  <180 . Straight: 180 . Intersecting Lines: Lines in a plane that intersect (or cross) Can cross at any angle Examples: Perpendicular Lines:

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Lines and Angles Vocab

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  1. Lines and AnglesVocab

  2. Quick Review: Classify angles by size Classify angles by size Acute: 0<90 Right: 90 Obtuse: 90<180 Straight: 180

  3. Intersecting Lines: • Lines in a plane that intersect (or cross) • Can cross at any angle • Examples: • Perpendicular Lines: • Lines that intersect at a right angle (90°) • Symbol for perpendicular • Symbol for not perpendicular • Examples: • Parallel Lines: • Lines in a plane that do not intersect (will never cross) • Symbol for parallel lines is II • Symbol for not parallel lines is II • Examples:

  4. Adjacent Angles: • Have a shared vertex and shared side • (they are ‘next to’ each other or ‘touching’) • Examples: • Vertical Angles: • Formed by intersecting lines, but are non-adjacent • (they are ‘across the vertex’ from each other, don’t share a side) • Vertical Angles are congruent (equal angle measure) • Examples: • Linear Pair: • 2 adjacent angles that form a straight line • (they make a straight line together) • Straight Line = 180° = a linear pair • Examples:

  5. J O M K 1 2 <JKO & <MKO are complimentary • Supplementary Angles: • Two angles whose sum is 180° • Two angles who together form a straight angle/straight line • (because a straight line is 180°) • Examples: • Complementary Angles: • Two angles whose sum is 90° • Two angles who together form a right angle • (because a right angle is 90°) • Examples: <1 and <2 are supplementary 40° K 50° 130° A 50° B J <A & <B are complementary. <J & <K are supplementary.

  6. *Tip: How to remember which is which? Think: • "C" of Complementary stands for "Corner"  • Corner is a Right Angle • "S" of Supplementary stands for "Straight" • 180 degrees is a straight line

  7. Find the Missing Angle Find the measure of <1 63° 1 x Solution: Since <1 and the 63° angleare a linear pair (form a straight line together), they must add to 180°. If <1 is unknown, call it x. Write an equation to find the unknown angle. x + 63 = 180 -63 -63 x = 117 <1 = 117° 63°

  8. Find the Missing Angle Angle xand angle yare supplementary angles. If angle yis 3 times greater than the measure of x,what is the measure of each angle? x x y 3x Solution: Since <x and <y are supplementary, they must add to 180°. If <x is unknown, call it x. If <y is three times <x, then <y must be = 3x because it will be 3 times bigger. *tip- express all unknowns in terms of just one variable (not two) Write an equation to find the unknown angle. x + 3x = 180 4x = 180 4 4 x = 45 <x = 45° and <y = 135°

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