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Geometry 6-8 Applying Coordinate Geometry
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by Matthew Richardson
| 21 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! The points shown are three vertices of a parallelogram. Draw all the possible locations of D, the fourth vertex?
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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
D
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5
10 pts
Problem 2 Got It. The diagram shows a trapezoid with the base centered at the origin. Is the trapezoid isosceles? Explain.
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6
10 pts
Problem 3 Got It? Plan a coordinate proof of the Triangle Midsegment Theorem (Theorem 5-1).
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7
10 pts
A
B
C
D
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8
10 pts
A
B
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9
10 pts
A
B
C
D
10
10 pts
Reasoning: How do variable coordinates generalize figures in the coordinate plane? For example, what do you know about (3, a), (b, -5), etc.
11
10 pts
Reasoning: A vertex of a quadrilateral has coordinates (a, b). The x-coordinates of the other three vertices are a or -a and the y-coordinates are b or -b. What kind of quadrilateral is the figure? Be as specific as possible.
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12
10 pts
Error Analysis: A classmate says the endpoints of the midsegment of the trapezoid in Problem 3 are as follows.
What is your classmate's error? Explain.
13
10 pts
Review Lesson 6-7: Let X(-2, 3), Y(5, 5), and Z(4, 10) be the vertices of a triangle. Is △XYZ a right triangle? Explain.
14
10 pts
Review Lesson 2-2: Write the inverse of the statement.

If x = 51, then 2x = 102.
15
10 pts
Review Lesson 2-2: Write the converse of the statement.

If x = 51, then 2x = 102.
16
10 pts
Review Lesson 2-2: Write the contrapositive of the statement.

If x = 51, then 2x = 102.
17
10 pts
Review Lesson 3-7: Find and graph the equation of the line that contains the origin and (4, 5).
18
10 pts
Review Lesson 3-7: Find the equation of the line that contains (p, q) and has slope a/b.
y - p = (a/b)(x - q)
y - q = (a/b)(x - p)
y - a = (p/q)(x - b)
y - b = (p/q)(x - a)
19
10 pts
Vocabulary Review: Categorize each statement as true or false.
• The vertex of an angle is the endpoint of two rays.
• When you name angles using three points, the vertex gets named first.
• A polygon has the same number of sides and vertices.
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20
10 pts
Use Your Vocabulary: Match each point with its coordinates.
• (-1, -3)