Geometry 6-9 Proofs Using Coordinate Geometry
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by Matthew Richardson
| 16 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.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
1
10 pts
Solve It! The coordinates of three vertices of a rectangle are (-2a, 0), (2a, 0), and (2a, 2b). A diagonal joins one of these points with the fourth vertex. What are the coordinates of the midpoint of the diagonal? Justify your answer.
The outlined content above was added from outside of Formative. 2
2
10 pts
Problem 1 Got It? What is the advantage of using coordinates O(0, 0), E(0, 2b), and F(2a, 0) rather than O(0, 0), E(0, b), and F(a, 0)?
The outlined content above was added from outside of Formative. 3
3
40 pts
Problem 2 Got It? Write a coordinate proof of the Triangle Midsegment Theorem (Theorem 5-1).  4
50 pts
Coordinate Proof: Use coordinate geometry to prove that the diagonals of a rectangle are congruent.  6
6
10 pts
Error Analysis: Your classmate places a trapezoid on the coordinate plane. What is the error? 7
10 pts
Review Lesson 6-8: A rectangle ABCD is centered at the origin with A(-a, b). Without using any new variables, what are the coordinates of point C?
(a, b)
(a, -b)
(-a, -b)
(-a, b) 8
9
10
8
5 pts
Review Lessons 4-2, 4-3, and 4-4: Which theorem or postulate would you use, along with corresponding parts of congruent triangles (CPCTC), to prove the congruence?
SSS
SAS
ASA
AAS
9
5 pts
Review Lessons 4-2, 4-3, and 4-4: Which theorem or postulate would you use, along with CPCTC, to prove the congruence?
SSS
SAS
ASA
AAS
10
5 pts
Review Lessons 4-2, 4-3, and 4-4: Which theorem or postulate would you use, along with CPCTC, to prove the congruence?
SSS
SAS
ASA
AAS
11
10 pts
Review Algebra: Solve. Round to the nearest tenth if necessary.
Select all that apply.
x = 14
x = 12
x = 144
x = -12
12
10 pts
Review Algebra: Solve. Round to the nearest tenth if necessary.
Select all that apply.
r = -8.1
r = -8
r = 8
r = 8.1
13
10 pts
Review Algebra: Solve. Round to the nearest tenth if necessary.
Select all that apply.
k = -19.3
k = -16.6
k = 16.6
k = 19.3 14
10 pts
Vocabulary Review: Follow the instructions to complete the items on the canvas. 15
10 pts
Vocabulary Review: Follow the instructions to complete the items on the canvas.
16
10 pts
Reflection: Math Success