Name: _______________________________________________ Period: ______________
Integrated 2 – Chapter 5 Test
The vertices of quadrilateral ABCD are A(-2, -5), B(8, -5), C(6, -1), D(0, -1)
1. Find the slope of each side of ABCD
Slope AB = _________________
Slope BC = _________________
Slope CD = _________________
Slope DA = _________________
2. Find the length of each side of ABCD
Length AB = _________________
Length BC = _________________
Length CD = _________________
Length DA = _________________
3. What type of quadrilateral is ABCD? Explain your reasoning.
For Questions 4-6, use the points A(5, 5) and B(-4, 2)
4. Find the distance between A and B
5. Find the coordinates of the midpoint of line segment AB.
6. Suppose B is the midpoint of a line segment AC. Find the coordinates of C.
Name: _______________________________________________ Period: ______________
For Questions 7 and 8, tell whether each statement is True or False (circle one).
7. All rectangles are squares: T
/
F
8. If a quadrilateral is a kite, then it is a rhombus: T
/
F
9. Plot the points A(0, -4), B(4, -3), and C(-3, -3)
10. Which point is farthest from the origin? Which point is closest? (Use the distance formula, don’t just
eyeball-it!!)
11. Find a fourth point, D, so that a parallelogram is formed using the vertices A, B, C and D in any order.
Plot your point and draw the parallelogram on the coordinate grid from Question #9.
For Questions 12 and 13, find the coordinates of the image described.
12. Reflection of triangle ABC over the x-axis.
13. Dilation of triangle ABC with a scale factor of ½ and center at the origin.
14. For which transformation(s) in Questions 12 and 13 did the slope of the line segment BC change?
15. For which transformation(s) in Questions 12 and 13 did the length of the line segment AC change?
16. Two vertices of a triangle in Quadrant I are (0, 0) and (7, 0). The y-coordinate of the third vertex is 4.
What is the x-coordinate of the third vertex if the triangle is a right triangle?
Name: _______________________________________________ Period: ______________
17. The vertices of a triangle ABC are A(0, 0), B(4a, 0), and C(2a, 2a). Find the coordinates of the midpoint
of each side of the triangle.
Midpoint AB = ________________
Midpoint BC = _________________
Midpoint CA = ________________
18. Using the diagram of a parallelogram in standard position below, show that the diagonals of any
parallelogram have the same midpoint.
B(a+b, c)
A(b, c)
O
C(a, 0)