Question

A

B
Figure ABCD is a parallelogram.
Which statement about ABCD
must be true?
D
ABCD is a quadrilateral.
The diagonals of ABCD are
perpendicular.
C All angles in ABCD are
congruent.
ABCD is a rectangle or a square.

Answer 1

• A) ABCD is a quadrilateral

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If ABCD is a parallelogram, then:

• A) ABCD is a quadrilateral - TRUE, as it has 4 sides and 4 angles;
• B) The diagonals of ABCD are perpendicular - False, as it is true for a rhombus or a square;
• C) All angles in ABCD are congruent - False, as it is true for rectangle or square;
• D) ABCD is a rectangle or a square - False, as we are given a parallelogram.

Answer 2

Answer B

Explanation:

The diagonals of ABCD are perpendicular.

• In a parallelogram, the diagonals bisect each other and divide the shape into four congruent triangles.
• However, not all parallelograms have congruent angles or are rectangles or squares.
• Therefore, those statements are not necessarily true for all parallelograms.