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GEO Warm-up: 9/21 and 9/22

SETUP DIRECTIONS Please take out Assignment Calendar, and Copy Tonight’s HW Materials on your desk: Drill, HW: Segment and Angle Addition Back Begin your drill! (located on the back table). GEO Warm-up: 9/21 and 9/22. Name: ____________________ Date: ____________ Pd: _____.

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GEO Warm-up: 9/21 and 9/22

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  1. SETUP DIRECTIONSPlease take out Assignment Calendar, andCopy Tonight’s HWMaterials on your desk:Drill, HW: Segment and Angle Addition BackBegin your drill! (located on the back table)

  2. GEO Warm-up: 9/21 and 9/22 Name: ____________________ Date: ____________ Pd: _____ (1) If the value of RP = 25, find the value of x, the measure of RA and AP. 2) If the value of TZ = 30, find the value of x, the measure of TY and YZ. 3) If the , , . Find the value of x and of each missing angle.

  3. What is it? • It has wings • It can be very colorful • It lays eggs to have babies • It loves the water • It eats grass, plants, small fish, and amphibians • Some people keep them as pets • We say the sound it makes is “quack”

  4. What are they? • They are straight • They each have 180 • They never intersect

  5. Good Definitions TSWBAT: Identify good definitions and name counterexamples for bad definitions and name various properties of lines and angles and determine measurements given geometric information.

  6. What is a Good Definition? identify • A good definition can help ______________ or ______________ an object. There are three important parts of a good definition. • A good definition uses clearly understood terms. • A good definition is precise, it avoids words such as large, sort of,and some. • A good definition states what the term is, rather than what it is not. classify

  7. Is the following an example of a good definition? If not, write a counterexample. • A chair is a device that people sit on. • A pen is an object that can be used for writing. • A segment is a line with two points. • Parallel lines are not lines that cross.

  8. MIDPOINT A point that divides a segment into 2 congruent segments • Midpoint: Looking at the following segment, which point is the midpoint? • Midpoint: __________ • Segment: ___________ • Congruent Segments: _____________ • How it’s written: _________________ M AB AM and MB AM MB

  9. Looking at the following segment, which point is the midpoint? • Midpoint: __________ • Segment: ___________ • Congruent Segments: _____________ • How it’s written: _________________ A CT CA and AT CA AT

  10. Perpendicular Lines Perpendicular Lines: • Symbol for perpendicular: • Looking at the following segments, Which segments are perpendicular: __________ • How did you know: _________________ • Find the m<RTQ: ________________ Lines that intersect at a 90 (right) angle  PQ and RS There is a 90 angle 90

  11. Which lines, if any, in the following diagram are perpendicular?

  12. Vertical Angles Two angles whose sides are opposite rays. Vertical angles are congruent. Vertical Angles: • Label the vertical angles in this picture:

  13. Vertical Angles • Looking at the segments, which angles are vertical to: <NGL: ___________ <AGN: ___________ • Label the picture with the missing angles measures. <AGE <LGE

  14. Bisector Anything that divides a geometric figure into 2 equal parts Bisector: In the following pictures, how would you label a bisector? Then label the pictures. Y is the bisector of XZ IN is the bisector of <KIG

  15. Perpendicular Bisector Perpendicular Bisector: • If JK is the perpendicular bisector of XY, how would you label the picture? A line, segment, or ray that is perpendicular to a line or segment at its midpoint

  16. Angle Bisector • Angle Bisector: • If EA is the bisector of <REC, how would you label the picture? A segment or ray that divides an angle into 2 congruent angles.

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