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5-Minute Check 1

A B C D. Find the measure of all angles on the drawing below if m<1=126˚. 5-Minute Check 1. Splash Screen. You learned about angles (Previous course and Lesson 11-1) You learned about the sum of the angles of a triangle (Previous course). Find missing angle measures of a quadrilateral.

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5-Minute Check 1

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  1. A B C D Find the measure of all angles on the drawing below if m<1=126˚ 5-Minute Check 1

  2. Splash Screen

  3. You learned about angles (Previous course and Lesson 11-1) You learned about the sum of the angles of a triangle (Previous course) • Find missing angle measures of a quadrilateral. • Classify quadrilaterals. Then/Now

  4. quadrilateral A closed figure with four sides and four vertices, examples are squares, rectangles, and trapezoids Vocabulary

  5. Concept

  6. Find Angle Measures ALGEBRA Find the value of x in the quadrilateral. Then find each missing angle measure. The sum of the measures of the angles is 360°. Let mQ, mR, mS, and mT represent the measures of the angles. Example 1

  7. Find Angle Measures mQ + mR + mS + mT = 360 Angles of a quadrilateral 75 + 4x + 110 + x = 360 Substitution 5x + 185 = 360 Combine like terms. 5x + 185 – 185 = 360 – 185 Subtract 185 from each side. 5x = 175 Simplify. x = 35 Divide each side by 5. Answer: So, mT = 35° and mR = 4(35) or 140°. Example 1

  8. A B C D Find the value of x. Then find each missing angle measure. A.x = 4; mA = 4° and mC = 16° B.x = 5; mA = 5° and mC = 20° C.x = 40; mA = 40° and mC = 160° D.x = 104; mA = 104° and mC = 416° Example 1

  9. Quadrilaterals Other Quadrilaterals Trapezoids Parallelograms Rhombus Rectangles Squares

  10. Classify Quadrilaterals Classify the quadrilateral shown using the name that best describes it. The quadrilateral has both pairs of opposite sides parallel and congruent. Answer: parallelogram Example 2

  11. A B C D QUILT PATTERN The figure shows a pattern for the border of a quilt. Classify the quadrilaterals used to form the flower and the leaves using the name that best describes them. A. square B. rectangle C. rhombus and rectangle D. parallelogram and square Example 2

  12. End of the Lesson

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