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8.4 Worksheet

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In this homework assignment, you will determine what kind of quadrilateral PQRS is. First, graph the quadrilateral, then find the slopes of all the sides, then find the distances of all the sides. With that information, decide the correct type of quadrilateral.
Quadrilateral #1: P(-1, 3), Q(4, 2), R(1, -1), S(-4, 0)
Question 1
1.

Graph quadrilateral PQRS.

Question 2
2.

What is the slope of SP? Make sure to simplify.

Question 3
3.

What is the slope of PQ? Make sure to simplify.

Question 4
4.

What is the slope of SR? Make sure to simplify.

Question 5
5.

What is the slope of RQ? Make sure to simplify.

Question 6
6.

What is the length of SP? Leave your answer is radical form.

Question 7
7.

What is the length of PQ? Leave your answer is radical form.

Question 8
8.

What is the length of SR? Leave your answer is radical form.

Question 9
9.

What is the length of RQ? Leave your answer is radical form.

Question 10
10.

What kind of quadrilateral is PQRS?

Quadrilateral #2: P(-3, 5), Q(-7, 6), R(-9, -2), S(-5, -3)
Question 11
11.

Graph quadrilateral PQRS.

Question 12
12.

What is the slope of RQ? Make sure to simplify.

Question 13
13.

What is the slope of QP? Make sure to simplify.

Question 14
14.

What is the slope of RS? Make sure to simplify.

Question 15
15.

What is the slope of SP? Make sure to simplify.

Question 16
16.

What is the length of RQ? Leave your answer in radical form.

Question 17
17.

What is the length of QP? Leave your answer in radical form.

Question 18
18.

What is the length of RS? Leave your answer in radical form.

Question 19
19.

What is the length of SP? Leave your answer in radical form.

Question 20
20.

What kind of quadrilateral is PQRS?

Quadrilateral #3: P(-2, 9), Q(-2, -1), R(-5, 5), S(-5, 7)
Question 21
21.

Graph quadrilateral PQRS.

Question 22
22.

What is the slope of SP? Make sure to simplify.

Question 23
23.

What is the slope of PQ? Make sure to simplify.

Question 24
24.

What is the slope of SR? Make sure to simplify.

Question 25
25.

What is the slope of RQ? Make sure to simplify.

Question 26
26.

What is the length of SP? Leave your answer in radical form.

Question 27
27.

What is the length of PQ? Leave your answer in radical form.

Question 28
28.

What is the length of SR? Leave your answer in radical form.

Question 29
29.

What is the length of RQ? Leave your answer in radical form.

Question 30
30.

What kind of quadrilateral is PQRS?

Quadrilateral #4: P(1, 5), Q(8, 6), R(15, 5), S(8, 4)
Question 31
31.

Graph quadrilateral PQRS.

Question 32
32.

What is the slope of PQ? Make sure to simplify.

Question 33
33.

What is the slope of QR? Make sure to simplify.

Question 34
34.

What is the slope of PS? Make sure to simplify.

Question 35
35.

What is the slope of SR? Make sure to simplify.

Question 36
36.

What is the length of PQ? Leave your answer in radical form.

Question 37
37.

What is the length of QR? Leave your answer in radical form.

Question 38
38.

What is the length of PS? Leave your answer in radical form.

Question 39
39.

What is the length of SR? Leave your answer in radical form.

Question 40
40.

What kind of quadrilateral is PQRS?

Quadrilateral #5: P(1, 2), Q(4, 1), R(3, -2), S(0, -1)
Question 41
41.

Graph quadrilateral PQRS.

Question 42
42.

What is the slope of SP? Make sure to simplify.

Question 43
43.

What is the slope of PQ? Make sure to simplify.

Question 44
44.

What is the slope of SR? Make sure to simplify.

Question 45
45.

What is the slope of RQ? Make sure to simplify.

Question 46
46.

What is the length of SP? Leave your answer in radical form.

Question 47
47.

What is the length of PQ? Leave your answer in radical form.

Question 48
48.

What is the length of SR? Leave your answer in radical form.

Question 49
49.

What is the length of RQ? Leave your answer in radical form.

Question 50
50.

What kind of quadrilateral is PQRS?

Quadrilateral #6: P(6, 8), Q(9, 12), R(12, 8),S(9, 6)
Question 51
51.

Graph quadrilateral PQRS.

Question 52
52.

What is the slope of PQ? Make sure to simplify.

Question 53
53.

What is the slope of QR? Make sure to simplify.

Question 54
54.

What is the slope of PS? Make sure to simplify.

Question 55
55.

What is the slope of SR? Make sure to simplify.

Question 56
56.

What is the length of PQ? Leave your answer in radical form.

Question 57
57.

What is the length of QR? Leave your answer in radical form.

Question 58
58.

What is the length of PS? Leave your answer in radical form.

Question 59
59.

What is the length of SR? Leave your answer in radical form.

Question 60
60.

What kind of quadrilateral is PQRS?

Quadrilateral #7: P(-2, 10), Q(1, 13), R(5, 13), S(-2, 6)
Question 61
61.

Graph quadrilateral PQRS.

Question 62
62.

What is the slope of PQ? Make sure to simplify.

Question 63
63.

What is the slope of QR? Make sure to simplify.

Question 64
64.

What is the slope of PS? Make sure to simplify.

Question 65
65.

What is the slope of SR? Make sure to simplify.

Question 66
66.

What is the length of PQ? Leave your answer in radical form.

Question 67
67.

What is the length of QR? Leave your answer in radical form.

Question 68
68.

What is the length of PS? Leave your answer in radical form.

Question 69
69.

What is the length of SR? Leave your answer in radical form.

Question 70
70.

What kind of quadrilateral is PQRS?