Geometry 6-7 Complete Lesson: Polygons in the Coordinate Plane
By Matthew Richardson
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Last updated over 3 years ago
22 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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Question 1
1.
Solve It! You and a friend are playing a board game. Players place rubber bands on their own square grid to form different shapes. The object of the game is to guess the vertices of your opponent's shape. How would you place pieces on the grid to complete a right isosceles triangle?
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Question 2
2.
Solve It! Refer to your sketch in the previous item and justify the placement of each rubber band that you added.
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Question 3
3.
Problem 1 Got It?
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Question 4
4.
Problem 2 Got It? â–± MNPQ has vertices M(0, 1), N(-1, 4), P(2, 5), and Q(3, 2).
a.Is â–± MNPQ a rectangle? Explain.
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Question 5
5.
Problem 2 Got It? â–± MNPQ has vertices M(0, 1), N(-1, 4), P(2, 5), and Q(3, 2).
b.Is â–± MNPQ a square? Explain.
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Question 6
6.
Problem 3 Got It?
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Question 7
7.
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Question 8
8.
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Question 9
9.
Writing: Describe how you would determine whether the lengths of the medians from the base angles D and F are congruent.
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Question 10
10.
Error Analysis: A student says that the quadrilateral with vertices D(1, 2), E(0, 7), F(5, 6), and G(7, 0) is a rhombus because its diagonals are perpendicular. What is the student's error?
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Question 11
11.
Review Lesson 6-6: Refer to the isosceles trapezoid shown. Find the value of x.
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Question 12
12.
Review Lesson 6-6: Refer to the isosceles trapezoid shown. Find m∠1. Enter only a number.
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Question 13
13.
Review Lesson 6-6: Refer to the isosceles trapezoid shown. Find m∠2. Enter only a number.
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Question 14
14.
Review Lesson 6-6: Refer to the isosceles trapezoid shown. Find m∠3. Enter only a number.
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Question 15
15.
Review Lesson 5-3: Find the circumcenter of â–³ABC.
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Question 16
16.
Review Lesson 3-7: Identify the slope of each segment, whose endpoints are given. Not all slopes will be used.
0
1
b/(c+d-a)
-1
undefined
(0, a), (-a, 2a)
(-a, b), (a, b)
(a, 0), (c+d, b)
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Question 17
17.
Vocabulary Review: Identify each item labeled on the coordinate plane. Use the arrow keys to access items, if necessary.
A
B
C
D
E
F
G
origin
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
x-axis
y-axis
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Question 18
18.
Use Your Vocabulary: Complete each statement with the correct word. Use each word only once.
