Which of the following statements is false?
A. The parallel sides of an isosceles trapezoid are congruent.
B. Opposite sides of a parallelogram are congruent.
C. The diagonals of a rhombus are perpendicular and bisect each other.
D. The base angles of an isosceles trapezoid are congruent.

Question

02-08-2022
Mathematics

Answered

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Which of the following statements is false?
A. The parallel sides of an isosceles trapezoid are congruent.
B. Opposite sides of a parallelogram are congruent.
C. The diagonals of a rhombus are perpendicular and bisect each other.
D. The base angles of an isosceles trapezoid are congruent.

Sagot :

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adioabiola adioabiola · Answer 1 · 2022-08-03T11:43:24-04:00

The statement which is false among the answer choices as indicated in the task content is; Choice A; The parallel sides of an isosceles trapezoid are congruent.

Which of the statements indicated in the answer choice is correct?

It follows from the answer choice A that The parallel sides of an isosceles trapezoid are congruent.

However, it follows from the study of isosceles trapezoids that the base angles of such trapezoids are congruent and their measures are equal, consequently, the isosceles sides have equal length measures.

On this note, the other two sides are parallel but cannot be concluded as congruent.

Sagot :

Which of the statements indicated in the answer choice is correct?

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