Unit 6 Polygons And Properties Of Quadrilaterals Test Version B

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  • 1/21 Questions
    In parallelogram ABCD shown below, angle A = 50 degrees, what is the measure of angle C? - ProProfs

    In parallelogram ABCD shown below, angle A = 50 degrees, what is the measure of angle C?

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Unit 6 Polygons And Properties Of Quadrilaterals Test Version B - Quiz
About This Quiz

In this second part of a two-part quiz, we’ll be continuing to test your knowledge on polygons and properties of quadrilaterals. These questions will include topics like sides of an octagon, the interior angle sum of a hexagon, and more.

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  • 2. 
    In parallelogram ABCD, if angle A = 40 degrees, what is the measure of angle B? - ProProfs

    In parallelogram ABCD, if angle A = 40 degrees, what is the measure of angle B?

    Explanation
    Since opposite angles in a parallelogram are equal, angle B must also be 40 degrees. This is because angle A and angle B are opposite angles in parallelogram ABCD.

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  • 3. 
    In parallelogram ABCD, if the measure of angle A = 3x + 10 degrees and the measure of angle C = 4x degrees, what is x in degrees? - ProProfs

    In parallelogram ABCD, if the measure of angle A = 3x + 10 degrees and the measure of angle C = 4x degrees, what is x in degrees?

    Explanation
    The angles in a parallelogram are congruent, meaning they have the same measure. Therefore, angle A and angle C must be equal. Setting the two expressions equal to each other, we can solve for x. 3x + 10 = 4x. Subtracting 3x from both sides gives 10 = x. Therefore, x is equal to 10 degrees.

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  • 4. 
    In parallelogram ABCD, if AB = 8x - 2 and CD = 6x + 8, what is the length of AB? - ProProfs

    In parallelogram ABCD, if AB = 8x - 2 and CD = 6x + 8, what is the length of AB?

    Explanation
    The length of AB can be found by equating it to 8x - 2. Since no other information is given about the parallelogram, we can assume that AB is one of the sides of the parallelogram. Therefore, the length of AB is 8x - 2, which is equal to 38.

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  • 5. 
    In parallelogram ABCD below, AE = 8. What is the measure of CE? - ProProfs

    In parallelogram ABCD below, AE = 8. What is the measure of CE?

    Explanation
    In a parallelogram, opposite sides are equal in length. Since AE = 8, CE must also be equal to 8.

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  • 6. 
    In parallelogram ABCD below, BE = 7, what is the length of BD? - ProProfs

    In parallelogram ABCD below, BE = 7, what is the length of BD?

    Explanation
    Since BE is equal to 7, and the opposite sides of a parallelogram are equal in length, BD must also be equal to 7. Therefore, the length of BD is 14.

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  • 7. 
    In rectangle ABCD shown below, AC = 10x and BD = 30.What does x equal? - ProProfs

    In rectangle ABCD shown below, AC = 10x and BD = 30.What does x equal?

    Explanation
    In the given rectangle ABCD, AC is equal to 10 times x and BD is equal to 30. Since AC and BD are diagonals of the rectangle, they are equal in length. Therefore, 10x = 30. Dividing both sides of the equation by 10, we get x = 3.

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  • 8. 
    In the rectangle shown below, find the measure of x in degrees. - ProProfs

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

  • 9. 
    In the rhombus below, find x if MA = 2x + 5 and AT = 3x - 2. - ProProfs

    In the rhombus below, find x if MA = 2x + 5 and AT = 3x - 2.

    Explanation
    In a rhombus, opposite sides are equal. Therefore, MA = AT. Setting the given expressions equal to each other, we get 2x + 5 = 3x - 2. Solving this equation, we find x = 7.

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  • 10. 
    In the square below, if AE = 5, what is DE? - ProProfs

    In the square below, if AE = 5, what is DE?

    • 5

    • 10

    • 2.5

    • Not enough information

    Correct Answer
    A. 5
    Explanation
    Since the square has equal sides, we can conclude that DE is also equal to 5.

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  • 11. 
    In Isosceles Trapezoid ABCD, AB = 8x and CD = 32. Find the value of x. - ProProfs

    In Isosceles Trapezoid ABCD, AB = 8x and CD = 32. Find the value of x.

    Correct Answer
    4
    Explanation
    In an isosceles trapezoid, the non-parallel sides are congruent. This means that AB = CD. Therefore, if AB = 8x and CD = 32, we can set up the equation 8x = 32 and solve for x. Dividing both sides of the equation by 8, we get x = 4.

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  • 12. 
    In Isosceles Trapezoid ABCD, diagonal AC = 2x + 3 and diagonal BD = 4x - 5. Find the length of AC. - ProProfs

    In Isosceles Trapezoid ABCD, diagonal AC = 2x + 3 and diagonal BD = 4x - 5. Find the length of AC.

    Correct Answer
    11
  • 13. 

    How many sides does an octagon have?

    • 4

    • 5

    • 6

    • 7

    • 8

    Correct Answer
    A. 8
    Explanation
    An octagon has 8 sides.

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  • 14. 

    What is the measure of one interior angle of a regular pentagon?

    • 150 degrees

    • 144 degrees

    • 108 degrees

    • 90 degrees

    • 60 degrees

    Correct Answer
    A. 108 degrees
    Explanation
    The measure of one interior angle of a regular pentagon is 108 degrees. In a regular polygon, all interior angles are equal. To find the measure of each angle, we can use the formula (n-2) * 180 / n, where n is the number of sides of the polygon. For a pentagon, n is 5, so the formula becomes (5-2) * 180 / 5 = 3 * 180 / 5 = 540 / 5 = 108 degrees.

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  • 15. 

    Which of the following is true about a regular octagon?I. - It is concave.II. - It is equilateral.III.-  It is equiangular.

    • I only

    • II only

    • III only

    • I and II only

    • II and III only

    Correct Answer
    A. II and III only
    Explanation
    A regular octagon is a polygon with eight sides and eight angles. It is equilateral because all of its sides have the same length. It is also equiangular because all of its angles have the same measure. However, it is not concave because all of its interior angles are less than 180 degrees, making it a convex polygon. Therefore, the correct answer is II and III only.

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  • 16. 
    In rhombus MATH, which of the following are true?I. MT = AHII. MA = AT = TH = MHIII. MY = AY. - ProProfs

    In rhombus MATH, which of the following are true?I. MT = AHII. MA = AT = TH = MHIII. MY = AY.

    • I only

    • II only

    • III only

    • I and II only

    • I, II and III

    Correct Answer
    A. II only
    Explanation
    In a rhombus, opposite sides are congruent. Therefore, in rhombus MATH, we can conclude that MA = AT = TH = MH. This is the only statement that is true, so the correct answer is II only.

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  • 17. 

    What is the interior angle sum of a hexagon in degrees?

    • 360

    • 540

    • 720

    • 900

    • 1080

    Correct Answer
    A. 720
    Explanation
    The interior angle sum of a polygon can be found by using the formula (n-2) * 180, where n is the number of sides of the polygon. In the case of a hexagon, which has 6 sides, the interior angle sum would be (6-2) * 180 = 4 * 180 = 720 degrees.

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  • 18. 

    What is the measure of one exterior angle of a regular decagon?

    • 45 degrees

    • 36 degrees

    • 30 degrees

    • 20 degrees

    • 18 degrees

    Correct Answer
    A. 36 degrees
    Explanation
    The measure of one exterior angle of a regular decagon is 36 degrees. In a regular decagon, all the exterior angles are congruent, meaning they have the same measure. Since a decagon has 10 sides, the sum of all the exterior angles is 360 degrees. Therefore, each exterior angle is 360 degrees divided by 10, which equals 36 degrees.

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  • 19. 
    In the square shown below, which of the following are true?I. Diagonals AC and BD are congruentII. Diagonals AC and BD are perpendicular.III. Angle BAD is a right angle. - ProProfs

    In the square shown below, which of the following are true?I. Diagonals AC and BD are congruentII. Diagonals AC and BD are perpendicular.III. Angle BAD is a right angle.

    • I only

    • II only

    • III only

    • I and II only

    • I, II and III

    Correct Answer
    A. I, II and III
    Explanation
    In the given square, all the statements I, II, and III are true. Statement I is true because diagonals AC and BD are congruent since they both have the same length and intersect at their midpoints. Statement II is true because diagonals AC and BD are perpendicular to each other, forming right angles. Statement III is true because angle BAD is a right angle, as all angles in a square are right angles. Therefore, the correct answer is I, II, and III.

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  • 20. 
    The length of one side of a square is 10 cm. Find the length of the diagonal to the nearest tenth. Hint: you can use Pythagorean Theorem or the 45-45-90 triangle created. - ProProfs

    The length of one side of a square is 10 cm. Find the length of the diagonal to the nearest tenth. Hint: you can use Pythagorean Theorem or the 45-45-90 triangle created.

    • 14.1

    • 17.3

    • 7.1

    • 5.8

    • 10.0

    Correct Answer
    A. 14.1
    Explanation
    The length of the diagonal of a square can be found using the Pythagorean Theorem. In a square, the diagonal forms a right triangle with the sides of the square. The length of one side of the square is given as 10 cm. Using the Pythagorean Theorem, we can find the length of the diagonal. The formula is d = √(a^2 + b^2), where d is the length of the diagonal, and a and b are the lengths of the sides of the square. In this case, a and b are both 10 cm. Plugging in the values, we get d = √(10^2 + 10^2) = √(200) ≈ 14.1 cm.

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  • 21. 

    What do an isosceles trapezoid and a rectangle have in common?I. congruent diagonalsII. diagonals bisect each otherIII. right angles

    • I only

    • II only

    • III only

    • I and II only

    • I, II and III

    Correct Answer
    A. I only
    Explanation
    An isosceles trapezoid and a rectangle have congruent diagonals in common. This means that the diagonals of both shapes have the same length.

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  • Current Version
  • Oct 25, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 14, 2010
    Quiz Created by
    Annacabral
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