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31 votes
The given quadrilateral ABCD is an isosceles trapezoid. Which choice is NOT true about ABCD?

A) 2x + 10 = 4x - 30
B) angle A+ angle B+ angle C+ angle D=180^
C) angle A+ angle B+ angle C+ angle D=360^
D) AR = CD

The given quadrilateral ABCD is an isosceles trapezoid. Which choice is NOT true about-example-1
User Reed Sandberg
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1 Answer

20 votes
20 votes

Answer: B

Explanation:

What is an isosceles trapezoid?

An isosceles trapezoid is a type of quadrilateral in which the non-parallel sides have equal length and angle measure.

Let's address each answer to see which are true:

A) True: By definition of an isosceles trapezoid, the non-parallel sides have equal length and angle measure. 2x+10 and 4x-30 are written as equations to represent the unknown measurement of the angles A and D. Because this is an isosceles trapezoid, these angles would have the same measurement, meaning they are equal to each other.

B) False: A trapezoid is a quadrilateral. Quadrilaterals are four-sided figures which angles add up to 360°. Some other shapes that are quadrilaterals are squares, rectangles rhombuses and trapezoids. Because a trapezoid is a quadrilateral, the angles do not and can not add up to 180°

C) True: A trapezoid is a quadrilateral, which is a shape which angles add up to 360°. This means that Angles A, B, C, D of this shape should also add up to 360°.

D) True: An isosceles trapezoid is a type of trapezoid whose non-parallel sides have equal side lengths and angles measurements. Due to this definition, AB and CD would have the same length.

User Ramasamy Kanna
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