Class 8 Exam > Class 8 Questions > Which property is true for all trapezoids?a)O...
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Which property is true for all trapezoids?
- a)Only two opposite sides are parallel.
- b)All angles are equal.
- c)Consecutive angles are supplementary.
- d)The base angles are congruent.
Correct answer is option 'A'. Can you explain this answer?
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Which property is true for all trapezoids?a)Only two opposite sides ar...
Explanation:
A trapezoid is a quadrilateral with at least one pair of parallel sides. Let us analyze the given options one by one:
a) Only two opposite sides are parallel:
This property is true for all trapezoids. In a trapezoid, only two opposite sides are parallel, and the other two sides are non-parallel.
b) All angles are equal:
This property is not true for all trapezoids. In general, trapezoids do not have equal angles.
c) Consecutive angles are supplementary:
This property is also not true for all trapezoids. In general, the consecutive angles of a trapezoid are not supplementary.
d) The base angles are congruent:
This property is true only for isosceles trapezoids, which have two pairs of congruent angles. However, not all trapezoids are isosceles.
Therefore, the correct answer is option 'A': Only two opposite sides are parallel, which is true for all trapezoids.
A trapezoid is a quadrilateral with at least one pair of parallel sides. Let us analyze the given options one by one:
a) Only two opposite sides are parallel:
This property is true for all trapezoids. In a trapezoid, only two opposite sides are parallel, and the other two sides are non-parallel.
b) All angles are equal:
This property is not true for all trapezoids. In general, trapezoids do not have equal angles.
c) Consecutive angles are supplementary:
This property is also not true for all trapezoids. In general, the consecutive angles of a trapezoid are not supplementary.
d) The base angles are congruent:
This property is true only for isosceles trapezoids, which have two pairs of congruent angles. However, not all trapezoids are isosceles.
Therefore, the correct answer is option 'A': Only two opposite sides are parallel, which is true for all trapezoids.
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Community Answer
Which property is true for all trapezoids?a)Only two opposite sides ar...
The properties of the trapezoid are as follows:
The bases are parallel by definition.
Each lower base angle is supplementary to the upper base angle on the same side.
The properties of the isosceles trapezoid are as follows:
The properties of a trapezoid apply by definition (parallel bases).
The legs are congruent by definition.
The lower base angles are congruent.
The upper base angles are congruent.
Any lower base angle is supplementary to any upper base angle.
The diagonals are congruent.
The bases are parallel by definition.
Each lower base angle is supplementary to the upper base angle on the same side.
The properties of the isosceles trapezoid are as follows:
The properties of a trapezoid apply by definition (parallel bases).
The legs are congruent by definition.
The lower base angles are congruent.
The upper base angles are congruent.
Any lower base angle is supplementary to any upper base angle.
The diagonals are congruent.
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