Test Corrections for Unit 1 Test MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are unclear about. Any test corrections submitted without meeting all the requirements of the test corrections format will not be accepted/scored. Any test corrections submitted past the due date will not be accepted/scored. Test corrections are a privilege, not a right. The goal is for you to remediate your skills, apply them to new problems and be able to fully and accurately explain the how and why of each problem. These test corrections take a long time to complete, however, they can earn you up to 1/2 of the points back that you lost on the Unit 1 test. If you take advantage of this opportunity you will not only understand the material better, but you will also improve your grade in the class. 1. Trapezoid ABCD has coordinates A(0, 9), B(12, 9), C(8, 4), and D(0, 4). a) Using coordinate geometry, show that −−− AD is not parallel to −−− BC. b) Find the area of trapezoid ABCD. c) Find the perimeter of ABCD to the nearest integer. d) Find m∠ ABC to the nearest degree. 2. Point P has coordinates (−12, 5). What is its distance from the origin? 3. Find an equation of the line passing through the point (6, 5) and perpendicular to the line whose equation is 2y +3x = 6. 4. Square ABCD has vertices A(−2, −3), B(4, −1), C(2, 5), and D(−4, 3). What is the length of a side of the square? A. 2 √ 5 B. 2 √ 10 C. 4 √ 5 D. 10 √ 2 5. In the diagram below, quadrilateral ABCD has vertices A(−5, 1), B(6, −1), C(3, 5), and D(−2, 7). What are the coordinates of the midpoint of diagonal −−− AC? A. (−1, 3) B. (1, 3) C. (1, 4) D. (2, 3) 6. Find the distance between the points (−1, 5) and (−7, 3). page1
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Test Corrections for Unit 1 Test
MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to
properly do test corrections. Ask for clarification from your teacher if there are parts that you are unclear about.
Any test corrections submitted without meeting all the requirements of the test corrections format will not be
accepted/scored. Any test corrections submitted past the due date will not be accepted/scored. Test corrections
are a privilege, not a right. The goal is for you to remediate your skills, apply them to new problems and be
able to fully and accurately explain the how and why of each problem. These test corrections take a long time
to complete, however, they can earn you up to 1/2 of the points back that you lost on the Unit 1 test. If you
take advantage of this opportunity you will not only understand the material better, but you will also improve
your grade in the class.
1. Trapezoid ABCD has coordinates A(0, 9),
B(12, 9), C(8, 4), and D(0, 4).
a) Using coordinate geometry, show that−−−AD
is not parallel to−−−BC.
b) Find the area of trapezoid ABCD.
c) Find the perimeter of ABCD to the
nearest integer.
d) Find m∠ABC to the nearest degree.
2. Point P has coordinates (−12, 5). What is its
distance from the origin?
3. Find an equation of the line passing through
the point (6, 5) and perpendicular to the line
whose equation is 2y + 3x = 6.
4. Square ABCD has vertices A(−2,−3), B(4,−1),C(2, 5), and D(−4, 3). What is the length of a
side of the square?
A. 2√5 B. 2
√10 C. 4
√5 D. 10
√2
5. In the diagram below, quadrilateral ABCD
has vertices A(−5, 1), B(6,−1), C(3, 5), andD(−2, 7).
What are the coordinates of the midpoint of
diagonal−−−AC?
A. (−1, 3) B. (1, 3)
C. (1, 4) D. (2, 3)
6. Find the distance between the points (−1, 5)and (−7, 3).
page 1
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7. Line ` passes through the point (5, 3) and is
parallel to line k whose equation is 5x + y = 6.
An equation of line ` is
A. y =1
5x + 2 B. y = −5x + 28
C. y =1
5x − 2 D. y = −5x − 28
8. In the coordinate plane, the points (2, 2) and
(2, 12) are the endpoints of a diameter of a
circle. What is the length of the radius of the
circle?
A. 5 B. 6 C. 7 D. 10
9. What is an equation of the line that passes
through the point (7, 3) and is parallel to the
line 4x + 2y = 10?
A. y =1
2x − 1
2B. y = −1
2x +
13
2
C. y = 2x − 11 D. y = −2x + 17
10. What is the length of the line segment joining
the points (−3,−4) and (2,−5)?
11. In parallelogram ABCD, the coordinates of A
are (4, 3) and the coordinates of the midpoint
of diagonal−−−AC are (2, 5). What are the
coordinates of C ?
12. The coordinates of the endpoints of the
diameter of a circle are (3, 7) and (−5, 3).Find the coordinates of the center of the circle.
13. The coordinates of A and B are (2a, 4b) and
(8a, 6b), respectively. Express in terms of a
and b, the coordinates of the midpoint of−−−AB.
14. Trapezoid ABCD has coordinates A(−6, 0),B(17, 0), C(2, 8), and D(0, 8). Find the
a) area of trapezoid ABCD
b) perimeter of trapezoid ABCD
c) measure of ∠B to the nearest degree
15. The midpoint of−−−AB is M, the coordinates of
A are (a, b), and the coordinates of B are
(a + 4, 5b). What are the coordinates of M?
A. (2, 2b) B. (a + 2, 3b)
C. (2a + 4, 6b) D.
(
a + 4
2,
5b
2
)
16. Triangle HKL has vertices H(−7, 2), K(3,−4),and L(5, 4). The midpoint of