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Biblioteka

Chapter 8 Review

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Posljednje ažuriranje about 4 years ago
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For questions 3-6, select all possible answers that complete the statement.

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For questions 7-11, determine whether the information given could be used to prove a quadrilatral is a parallelogram.

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Use the parallelogram below for the next two questions.

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Use the parallelogram below for the next two questions.

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Use parallelogram ABCD below to answer questions 16-21.

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Use rhombus LMNP below to answer questions 22-30.

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Use rectangle WXYZ below to answer questions 32-37. The diagonal XZ = 12

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Use square DEFG below to answer questions 38-41.

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Use isosceles trapezoid FGHJ below to answer questions 42-49. MN is the midsegment, and GJ = 8.

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Use kite JKLM below to answer questions 50-55.

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For questions 56-64, determine the most specific quadrilateral shown.

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For the final section of the review, determine what kind of quadrilateral is provided using coordinates. 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: A(-5, 1), B(-3, 5), C(5, 1), D(3, -3)

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Quadrilateral #2: P(-3, 0), Q(0, 4), R(6, 3), S(0, -5)

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Pitanje 1
1.

Match the properties on the left with their quadrilateral on the right. Many properties will be used more than once.

  • Opposite sides are parallel

  • Diagonals are congruent

  • Four right angles

  • All sides are congruent

  • Diagonals bisect each other

  • Diagonals are perpendicular

  • Opposite angles are bisected

  • Parallelogram

  • Rhombus

  • Rectangle

  • Square

  • Trapezoid

  • Isosceles Trapezoid

  • Kite

Pitanje 2
2.

Match the properties on the left with their quadrilateral on the right. Many properties will be used more than once.

  • One pair of parallel sides

  • Consecutive angles are supplementary

  • One diagonal bisects the other

  • Diagonals do not bisect each other

  • Consecutive sides are equal

  • Opposite angles are congruent

  • Base angles are congruent

  • Parallelogram

  • Rhombus

  • Rectangle

  • Square

  • Trapezoid

  • Isosceles Trapezoid

  • Kite

Pitanje 3
3.

If a quadrilateral is a parallelogram, then one pair of opposite sides are _______________

Pitanje 4
4.

If a quadrilateral is a parallelogram, then its consecutive angles are _______________

Pitanje 5
5.

If a quadrilateral is a parallelogram, then its diagonals _______________ each other.

Pitanje 6
6.

If a quadrilateral is a parallelogram, then by definition, both pairs of opposite sides are _______________

Pitanje 7
7.

The diagonals bisect each other

Pitanje 8
8.

Opposite angles are supplementary

Pitanje 9
9.

Both pairs of opposite sides are congruent

Pitanje 10
10.

Consecutive sides are congruent

Pitanje 11
11.

One pair of opposite sides is parallel and congruent

Pitanje 12
12.

What is the value of a?

Pitanje 13
13.

What is the value of b?

Pitanje 14
14.

What is the value of b?

Pitanje 15
15.

What is the value of a?

Pitanje 16
16.

If the measure of angle ACD = 65, then what is the measure of angle CDB?

Pitanje 17
17.

If the measure of angle ACD = 65, then what is the measure of angle ABD?

Pitanje 18
18.

If AC = 12, then BD = _______

Pitanje 19
19.

If CB = 25, then CE = _______

Pitanje 20
20.

If AC = 9x + 5, and BD = 6x + 17, find the value of x.

Pitanje 21
21.

If AE = x + 22, and DE = 38, find the value of x.

Pitanje 22
22.

What is the measure of angle LMN?

Pitanje 23
23.

What is the measure of angle LQM?

Pitanje 24
24.

What is the measure of MN?

Pitanje 25
25.

If the measure of angle LQP = 2x + 32, find the value of x.

Pitanje 26
26.

What is the measure of angle WXZ?

Pitanje 27
27.

What is the measure of angle WPX?

Pitanje 28
28.

What is the measure of angle WZP?

Pitanje 29
29.

What is the measure of XZ?

Pitanje 30
30.

What is the measure of WX?

Pitanje 31
31.

What is the measure of WZ? Use Pythagorean Theorem and round your answer to the nearest tenth.

Pitanje 32
32.

If WY = 5x + 3, and ZX = x + 15, find the value of x.

Pitanje 33
33.

What is the measure of angle GHF?

Pitanje 34
34.

What is the measure of angle DGH?

Pitanje 35
35.

What is the measure of HF?

Pitanje 36
36.

What is the measure of DE? Use Pythagorean Theorem and round your answer to the nearest tenth.

Pitanje 37
37.

Which of the following pairs of angles are base angles.

Pitanje 38
38.

What is the measure of angle G?

Pitanje 39
39.

What is the measure of angle H?

Pitanje 40
40.

What is the measure of MN?

Pitanje 41
41.

What is the measure of FM?

Pitanje 42
42.

What is the measure of FH?

Pitanje 43
43.

What is the measure of angle FMN?

Pitanje 44
44.

What is the measure of angle JNM?

Pitanje 45
45.

What is the measure of angle K?

Pitanje 46
46.

What is the measure of angle JDM?

Pitanje 47
47.

What is the measure of angle L?

Pitanje 48
48.

What is the measure of KM?

Pitanje 49
49.

What is the measure of LD? Use Pythagorean Theorem and round your answer to the nearest tenth.

Pitanje 50
50.

What is the measure of ML?

Pitanje 51
51.

Pitanje 52
52.

Pitanje 53
53.

Pitanje 54
54.

Pitanje 55
55.

Pitanje 56
56.

Pitanje 57
57.

Pitanje 58
58.

Pitanje 59
59.

Pitanje 60
60.

Graph quadrilateral ABCD.

Pitanje 61
61.

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

Pitanje 62
62.

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

Pitanje 63
63.

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

Pitanje 64
64.

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

Pitanje 65
65.

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

Pitanje 66
66.

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

Pitanje 67
67.

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

Pitanje 68
68.

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

Pitanje 69
69.

What kind of quadrilateral is ABCD?

Pitanje 70
70.

Graph quadrilateral PQRS.

Pitanje 71
71.

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

Pitanje 72
72.

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

Pitanje 73
73.

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

Pitanje 74
74.

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

Pitanje 75
75.

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

Pitanje 76
76.

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

Pitanje 77
77.

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

Pitanje 78
78.

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

Pitanje 79
79.

What kind of quadrilateral is PQRS?