Podcast
Questions and Answers
A quadrilateral has diagonals that are congruent but not perpendicular. Which of the following shapes could it be?
A quadrilateral has diagonals that are congruent but not perpendicular. Which of the following shapes could it be?
- Rhombus
- Square
- Isosceles Trapezoid (correct)
- Rectangle
In quadrilateral ABCD, angles A and B are supplementary. Which of the following statements must be true?
In quadrilateral ABCD, angles A and B are supplementary. Which of the following statements must be true?
- Angle C and angle D are supplementary. (correct)
- ABCD is a trapezoid.
- ABCD is a parallelogram.
- Side AD is parallel to side BC.
If a quadrilateral has one pair of parallel sides and one pair of congruent sides, what additional information is needed to prove that it is an isosceles trapezoid?
If a quadrilateral has one pair of parallel sides and one pair of congruent sides, what additional information is needed to prove that it is an isosceles trapezoid?
- The congruent sides are not parallel. (correct)
- The non-parallel sides are congruent.
- The congruent sides are parallel.
- The diagonals are perpendicular.
Which of the following conditions is sufficient to prove that a quadrilateral is a parallelogram?
Which of the following conditions is sufficient to prove that a quadrilateral is a parallelogram?
A quadrilateral has diagonals that bisect each other. What additional information is needed to classify it as a rhombus?
A quadrilateral has diagonals that bisect each other. What additional information is needed to classify it as a rhombus?
Which of the following properties is unique to kites compared to other quadrilaterals?
Which of the following properties is unique to kites compared to other quadrilaterals?
Given a quadrilateral with vertices A, B, C, and D, which condition would prove it is a rectangle?
Given a quadrilateral with vertices A, B, C, and D, which condition would prove it is a rectangle?
A quadrilateral has two pairs of adjacent sides that are congruent and opposite sides are not congruent. Which type of quadrilateral is it?
A quadrilateral has two pairs of adjacent sides that are congruent and opposite sides are not congruent. Which type of quadrilateral is it?
In a trapezoid ABCD, where AB is parallel to CD, what additional piece of information would prove that ABCD is an isosceles trapezoid?
In a trapezoid ABCD, where AB is parallel to CD, what additional piece of information would prove that ABCD is an isosceles trapezoid?
Which statement is always true for any square?
Which statement is always true for any square?
Flashcards
What is a trapezoid?
What is a trapezoid?
A quadrilateral with at least one pair of parallel sides.
What are the bases of a trapezoid?
What are the bases of a trapezoid?
The parallel sides of a trapezoid.
What are the legs of a trapezoid?
What are the legs of a trapezoid?
The non-parallel sides of a trapezoid.
Study Notes
- A midsegment of a triangle connects the midpoints of two sides.
- A midsegment of a trapezoid connects the midpoints of the two legs.
- The formula for finding the midsegment length of a trapezoid is AD = (1/2)(BC + EF).
- A line that contains a midsegment is parallel to the third side.
- If a line is parallel to one side and bisects another side, then it is a midsegment.
- In a trapezoid, the midsegment is parallel to both bases.
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