Unit 6 Polygons And Properties Of Quadrilaterals Test Version A

21 Questions | By Annacabral | Last updated: Aug 21, 2017

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In this first part of a two-part quiz, we’ll be seeing what you know about polygons and properties of quadrilaterals. Questions regarding sides, angles, degrees, octagons and other shapes and measurements await you in this one.

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Questions and Answers

1.

How many sides does a hexagon have?
- A.
  
  4
- B.
  
  5
- C.
  
  6
- D.
  
  7
- E.
  
  8
2.

What is the interior angle sum of an octagon in degrees?
- A.
  
  360
- B.
  
  540
- C.
  
  720
- D.
  
  900
- E.
  
  1080
3.

What is the measure of one exterior angle of a regular octagon?
- A.
  
  45 degrees
- B.
  
  36 degrees
- C.
  
  30 degrees
- D.
  
  20 degrees
- E.
  
  18 degrees
4.

What is the measure of one interior angle of a regular hexagon?
- A.
  
  150 degrees
- B.
  
  144 degrees
- C.
  
  135 degrees
- D.
  
  120 degrees
- E.
  
  90 degrees
5.

Which of the following is true about a regular octagon?I - It is convex.II - It is equilateral.III - It is equiangular
- A.
  
  I only
- B.
  
  II only
- C.
  
  III only
- D.
  
  I and II only
- E.
  
  I, II and III
6.

In parallelogram ABCD shown below, angle A = 40 degrees. What is the measure of angle C?
- A.
  
  40 degrees
- B.
  
  50 degrees
- C.
  
  140 degrees
- D.
  
  180 degrees
- E.
  
  Not enough information
7.

In parallelogram ABCD, if angle A = 50 degrees, what is the measure of angle B?
- A.
  
  50
- B.
  
  40
- C.
  
  130
- D.
  
  90
- E.
  
  180
8.

In parallelogram ABCD, if the measure of angle A = x + 20 degrees and the measure of angle C = 4x - 7 degrees, what is x in degrees?
9.

In parallelogram ABCD, if AB = 4x - 12 and CD = 2x + 10. Find the length of AB.
10.

In parallelogram ABCD below, AE = 5. What is the measure of CE?
11.

In parallelogram ABCD below, BE = 6. What is the length of BD?
12.

In rectangle ABCD shown below, AC = 5x and BD = 20. What does x equal?
13.

In the rectangle shown below, find the measure of x in degrees.
14.

In the rhombus below, find x if MA = 3x + 10 and AT = 7x - 2.
15.

In Rhombus MATH, which of the following are true?I. MT = AHII. MA = TA = HT = MHIII. MT is perpendicular to AH.
- A.
  
  I only
- B.
  
  II only
- C.
  
  III only
- D.
  
  II and III only
- E.
  
  I, II and III
16.

In the square below, if AE = 5, what is the length of DE?
17.

In the square below, which of the following are true?I. Digonals BD and AC are congruent.II. Diagonals BD and AC are perpendicular.III. All sides, AB, BC, CD and AD are congruent.
- A.
  
  I only
- B.
  
  II only
- C.
  
  III only
- D.
  
  I and II only
- E.
  
  I, II and III
18.

In Isosceles Trapezoid ABCD, if leg AB = 4x and leg CD = 24, find x.
- A.
  
  24
- B.
  
  12
- C.
  
  6
- D.
  
  4
- E.
  
  Cannot be determined
19.

In isosceles trapezoid ABCD, AC = 2x + 18 and BD = 5x. Find the length of BD.
20.

Which of the following do an isosceles trapezoid and a rectangle have in common?
- A.
  
  Perpendicular diagonals
- B.
  
  Congruent diagonals
- C.
  
  Four congruent sides
- D.
  
  Four right angles
- E.
  
  None of the above
21.

The length of the side of a square is 4 cm. To the nearest tenth of a centimeter, what is the length of one of the diagonals?(you will need to do Pythagorean Theorem or use the 45-45-90 special right triangle).
- A.
  
  4.0 cm
- B.
  
  5.7 cm
- C.
  
  6.9 cm
- D.
  
  8.0 cm
- E.
  
  2.8 cm

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