Coordinate Geometry

HSGT Review 17: Coordinate Geometry
Here are a few problems to see if you remember coordinate geometry:
1. Suppose x lies half way between y and z. What are the coordinates of x?
a. (0, -0.5)
b. (0, 0)
c. (-0.5, 0)
d. (-1, 0)
2. Find the length of the side ab .
a. 4 units
b. 4.47 units
c. 10 units
d. 2 units
3. Is figure ABCD a rectangle, explain why?
a. Yes, because AB is
perpendicular to
AD and BC and
parallel to CD .
b. Yes, because the
opposite sides have
the same slope
c. Yes, because the
opposite sides have
the same length
d. No, because the angles are not 90 degrees
4. Find the perimeter of the quadrilateral
whose vertices are these points: (-2, 1), (-2, 6),
(4, 6), and (4, 1).
a. 19
b. 20
c. 22
d. 25

5. An isosceles triangle has vertices at (1,1) and (3,3). Which of the following could
be the coordinates of the third vertex?
a. (2, 1)
b. (4, 1)
c. (3, 2)
d. (5, 1)
If you need additional review, this lesson corresponds to:
e. MM1G1a ( distance ), MM1G1c ( midpoint ), MM1G1d ( Pythagorean
theorem ), and MM1G1e ( applications with triangles and quadrilaterals )
f. American Book Company chapter 17
g. ExPress section 8 page 1
Answers:
1. c
2. b distance formula 20
3. a -- find slope of AB is ¾ and AD -8/6 = -4/3 and BC is -4/3 CD is ¾.
Perpendicular slopes are negative reciprocals, parallel slopes are the same.
4. c – draw it. You will see the side lengths are 6, 4, 6, 4
5. d – draw the two points given. Then check each of the points offered. Only d
would form an isosceles triangle.