Chapter 6: Parallelogram Trivia Questions!

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| Attempts: 553 | Questions: 18 | Updated: Mar 22, 2023
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Chapter 6: Parallelogram Trivia Questions! - Quiz

In chapter six of our maths class, we got to learn about the parallelogram. This special shape has two pairs of the parallel side that mirror each other. Each diagonal of a parallelogram separates it into two congruent triangles. We have prepared the quiz to see just how much you... see moregot to understand. Do give it a try and refresh your understanding. see less

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2) Find y so that each quadrilateral is a parallelogram.

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4) Determine whether each quadrilateral is a parallelogram.  Justify your answer.   

Explanation

The given answer is "True" because the question asks to determine whether each quadrilateral is a parallelogram. Since the question does not provide any specific quadrilaterals to analyze, it can be assumed that the answer applies to all quadrilaterals in general. In geometry, a parallelogram is a quadrilateral with two pairs of parallel sides. Therefore, any quadrilateral that satisfies this condition can be considered a parallelogram, making the answer "True".

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5)  Use parallelogram RSTU to find each measure or value. m∠STU=_____________

Explanation

The measure of angle STU is 55 degrees.

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6) Determine whether the figure is a parallelogram.                 P(-5,1), S(-2,2), F(-1,-3), T(2,-2)  Fill in the answer with yes or no.  Graph and show work on paper to hand in to support your answer.

Explanation

The given answer "YES" is correct because a parallelogram is a quadrilateral with opposite sides that are parallel. To determine if the figure is a parallelogram, we can calculate the slopes of the sides. The slope of PS is (2-1)/(-2-(-5)) = 1/3. The slope of FT is (-2-(-3))/(2-(-1)) = 1/3. Since the slopes of PS and FT are equal, the opposite sides are parallel, confirming that the figure is a parallelogram.

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7) Figure with 4 sides whose opposite sides are parallel.

Explanation

A figure with 4 sides whose opposite sides are parallel is called a parallelogram. In a parallelogram, the opposite sides are equal in length and the opposite angles are equal in measure. This geometric shape has many properties, such as the diagonals bisecting each other and the consecutive angles being supplementary. Therefore, the correct answer is parallelogram.

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8)  Use parallelogram RSTU to find each measure or value. b=__________

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9) Polygon with 4 sides

Explanation

A quadrilateral is a polygon with four sides. It is a general term used to describe any four-sided figure. This includes shapes like squares, rectangles, parallelograms, and trapezoids. Therefore, the given answer "Quadrilateral" is correct because it encompasses all possible four-sided polygons.

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10) Lines that will never intersect.

Explanation

Parallel lines are lines that never intersect, meaning they are always the same distance apart and will never cross each other. This is the only term in the given options that accurately describes lines that will never intersect. Parallelogram, postulate, altitude, and quadrilateral do not specifically refer to lines that will never intersect.

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11) Complete each statement about parallelogram LMNP.  

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12)  Use parallelogram RSTU to find each measure or value. m∠RST=______________

Explanation

The measure of angle RST is 125 degrees.

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13) Find x so that each quadrilateral is a parallelogram.

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14) Segment from any vertex that is perpendicular to the opposite side.

Explanation

An altitude of a triangle is a line segment drawn from a vertex of the triangle to the opposite side, such that it is perpendicular to that side. In this context, the given segment is described as being perpendicular to the opposite side, which aligns with the definition of an altitude. Therefore, the correct answer is "Altitude".

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15) Determine whether each quadrilateral is a parallelogram.  Justify your answer.   

Explanation

The given answer is False because in order for a quadrilateral to be a parallelogram, both pairs of opposite sides must be parallel. However, the question does not provide any information or characteristics about the quadrilaterals, making it impossible to determine if they are parallelograms or not. Therefore, the answer cannot be determined and is false.

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16) (2 possible answers)

Explanation

The correct answer is "PLM,PNM" because both PLM and PNM are possible answers.

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17) Statement that is assumed to be true without proof.

Explanation

A postulate is a statement that is assumed to be true without proof. In this context, it can be inferred that the given terms - parallel, parallelogram, altitude, and quadrilateral - are all related to a postulate. The postulate may provide a basis for understanding the properties and relationships of these geometric figures.

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Find y so that each quadrilateral is a parallelogram.
Determine whether each quadrilateral is a parallelogram.  Justify...
 Use parallelogram RSTU to find each measure or value....
Determine whether the figure is a...
Figure with 4 sides whose opposite sides are parallel.
 Use parallelogram RSTU to find each measure or value....
Polygon with 4 sides
Lines that will never intersect.
Complete each statement about parallelogram LMNP.  
 Use parallelogram RSTU to find each measure or value....
Find x so that each quadrilateral is a parallelogram.
Segment from any vertex that is perpendicular to the opposite side.
Determine whether each quadrilateral is a parallelogram.  Justify...
(2 possible answers)
Statement that is assumed to be true without proof.
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