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Geometry 6-6 Trapezoids and Kites
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by Matthew Richardson
| 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.
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1
10 pts
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
10 pts
Problem 1 Got It?
A
B
C
D
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3
10 pts
Problem 1 Got It?
A
B
C
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4
10 pts
Problem 2 Got It?
A
B
C
D
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5
1 pt
Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is x ? Enter only a number.
6
10 pts
Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is MN ? Enter only a number.
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7
10 pts
Problem 3 Got It? Reasoning: How many midsegments can a triangle have? Enter only a number.
8
10 pts
Problem 3 Got It? Reasoning: How many midsegments can a trapezoid have? Enter only a number.
9
10 pts
Problem 3 Got It? Reasoning: Compare your responses to the previous 2 items. Explain your responses.
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10
10 pts
Problem 4 Got It?
A
B
C
D
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11
10 pts
A
B
C
D
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12
10 pts
A
B
C
D
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13
10 pts
A
B
C
D
14
10 pts
Vocabulary: Is a kite a parallelogram?
Yes
No
15
10 pts
Vocabulary: Explain your response to the previous item.
16
10 pts
Compare and Contrast: How is a kite similar to a rhombus? How is it different? Explain.
17
10 pts
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.
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18
20 pts
Review Lesson 6-5: Match each figure with the value of x for which the figure is the given special parallelogram
• x = 12
• x = 27
• x = 33
• x = 61
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19
10 pts
Review Lesson 6-1: What is the value of c ? Enter only a number.
20
10 pts
Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the midpoint of segment AB.
(-1, 6)
(1, 3)
(-6, 14)
(2, 6)
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21
10 pts
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
10 pts
Review Lesson 3-7: Find the slope of the line containing the points C(-1, 5) and D(7,3).
-1/4
-4
4
1/4
23
10 pts
Vocabulary Review: Select the word that completes the sentence.

An isosceles triangle always has (two / three) congruent sides.
two
three
24
10 pts
Vocabulary Review: Select the word that completes the sentence.

An equilateral triangle is also a(n) (isosceles / right) triangle.
isosceles
right
25
30 pts
Use Your Vocabulary: Complete the assigned items on the canvas
26
10 pts
Compare and Contrast: Describe each figure. Figures are likely to fit multiple descriptions.