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Geometry 6-6 Complete Lesson: Trapezoids and Kites

By Matt Richardson
Last updated over 2 years ago
27 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
1.

Solve It! Two isosceles triangles form the figure. Each white segment is a midsegment of a triangle. What can you determine about the angles in the orange region? In the green region? Explain.

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2.

Problem 1 Got It?

3.

Problem 1 Got It?

4.

Problem 2 Got It?

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5.

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is x ? Enter only a number.

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6.

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is MN ? Enter only a number.

7.

Problem 3 Got It? Reasoning: How many midsegments can a triangle have? Enter only a number.

8.

Problem 3 Got It? Reasoning: How many midsegments can a trapezoid have? Enter only a number.

9.

Problem 3 Got It? Reasoning: Compare your responses to the previous 2 items. Explain your responses.

10.

Problem 4 Got It?

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14.

Vocabulary: Is a kite a parallelogram?

15.

Vocabulary: Explain your response to the previous item.

16.

Compare and Contrast: How is a kite similar to a rhombus? How is it different? Explain.

17.

Error Analysis: Since a parallelogram has two pairs of parallel sides, it certainly has one pair of parallel sides. Therefore, a parallelogram must also be a trapezoid. What is the error in this reasoning? Explain.

18.

Review Lesson 6-5: Match each figure with the value of x for which the figure is the given special parallelogram

  • Figure A
  • Figure B
  • Figure C
  • x = 12
  • x = 27
  • x = 33
  • x = 61
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19.

Review Lesson 6-1: What is the value of c ? Enter only a number.

20.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the midpoint of segment AB.

21.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the length of segment AB. Enter only a number. Round your answer to the nearest hundredth, if necessary.

22.

Review Lesson 3-7: Find the slope of the line containing the points C(-1, 5) and D(7,3).

23.

Vocabulary Review: Select the word that completes the sentence.

An isosceles triangle always has (two / three) congruent sides.

24.

Vocabulary Review: Select the word that completes the sentence.

An equilateral triangle is also a(n) (isosceles / right) triangle.

25.

Use Your Vocabulary: Complete the assigned items on the canvas

26.

Compare and Contrast: Describe each figure. Figures are likely to fit multiple descriptions.

  • Kite
  • Rhombus
  • Quadrilateral
  • Perpendicular diagonals
  • Congruent opposite sides
  • Supplementary consecutive angles
27.

Reflection: Math Success