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Chapter 1 Notes 1.6 Classify Polygons

Chapter 1 Notes 1.6 Classify Polygons. Vocabulary:. Polygon- Sides- Vertex- Convex- Concave- N-gon- Equilateral- Equiangular- Regular-. 10. 1.7 Find Perimeter, Circumference, and Area. Find the perimeter and area of the figure:. 1. 2. 4. 3. 6. 5.

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Chapter 1 Notes 1.6 Classify Polygons

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  1. Chapter 1 Notes 1.6 Classify Polygons Vocabulary: Polygon- Sides- Vertex- Convex- Concave- N-gon- Equilateral- Equiangular- Regular-

  2. 10.

  3. 1.7 Find Perimeter, Circumference, and Area Find the perimeter and area of the figure: 1. 2. 4. 3. 6. 5. Find the circumference and area of the circle.

  4. Distance Formula: Find the perimeter and area. 8. 7. 9. 10. 11. 12.

  5. 1.1 Identify Points, Lines, and Planes Word Definition Picture Real world example

  6. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.

  7. 1.2 Use Segments and Congruence Vocabulary: Postulate, axiom- Theorem- Coordinate- Distance- Between- Congruent segments- 1. 2. 3. 4.

  8. 5. 6. 7. 5. 8. 9. 10. 11. 12. 13.

  9. 1.3 Use Midpoint and Distance Formulas Vocabulary: Midpoint- Segment Bisector- 2. 1. 3. 4. 5.

  10. Midpoint formula- 7. 6. 8. 9. 11. 10.

  11. Section 1.4 and 1.5 Guided Notes • 1.4 Measure and Classify Angles • Notation review: • Point A Ray AB • Line AB Length of line AB • Segment AB • Congruent- • Angle- • Acute- Obtuse- Right- Straight- • Vertex of an angle- • Congruent angles- • Angle bisector- • Example 1: • Name the three angles in the diagram. • _____ or ______ • _____or ______ • _____ or ______ • Check point: • Name all the angles • in the diagram at the right. • What type of angles do the x-axis and the y-axis form in a coordinate plane?

  12. Protractor Postulate- Example 2: Use a protractor to find the measure of each angle: a) m∠ AOB b) m∠ COD c) m∠ DOF d) m∠ COE Angle Addition Postulate- Example 3: Given that m∠ GFJ = 155°, find m∠ GFH and m∠ HFJ. Checkpoint: 3. Given that ∠VRS is a right angle, find m∠VRT and m∠TRS Example 4: Identify all pairs of congruent angles in the diagram. If m∠P = 120°, what is m∠N? There are two pairs of congruent angles: ∠P ≅ _______, ∠L ≅ _________ Because ∠P ≅ _____, m∠P = ________. So, m∠N = ________.

  13. Example 5: In the diagram at the right, WY bisects m∠ XWZ, and m∠XWY = 29°. Find m∠XWZ. 1.5 Describe Angle Pair Relationships Vocabulary: Complimentary angles Supplementary angles adjacent angles linear pair vertical angles Example 1: Identify complements and supplements In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles.

  14. Example 2 Find measures of complements and supplements • Given that ∠1 is a complement of ∠2 and m∠2 = 57°, find m∠1. • Given that ∠3 is a supplement of ∠4 and m∠4 = 41°, find m∠3. • Example 3 Find angle measures • Find m∠BCA and m∠DCA. • Example4 • Two angles form a linear pair. The measure of one angle is 4 times the measure of the other. Find the measure of each angle. • Example 5 Identify angle pairs • Identify all of the linear pairs • and all of the vertical angles • in the figure at the right. • HW: p. 28 5-10, 15-41 odd • p. 38 3-15 odd, 16, 17-33 odd, 39-43 odd

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