State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums.

Arnav Colon

Arnav Colon

Answered question

2023-01-08

State whether True or False.
(1) All rectangles are squares.
(2) All rhombuses are parallelograms.
(3) All squares are rhombuses and also rectangles.
(4) All squares are not parallelograms.
(5) All kites are rhombuses.
(6) All rhombuses are kites.
(7) All parallelograms are trapeziums.
(8) All squares are trapeziums.

Answer & Explanation

akiraxox93q

akiraxox93q

Beginner2023-01-09Added 3 answers

(1) False. Rectangles are all squares, but squares are not all rectangles.
(2) True. Opposite sides of a rhombus are equal and parallel to each other.
(3) True. All squares are rhombuses as all sides of a square are of equal lengths. All squares are also rectangles as each internal angle measures 90°.
(4) False. Because opposite sides are equal and parallel, all squares are parallelograms.
(5) False. A kite's sides are not all the same length.
(6) True. A rhombus also has two distinct consecutive pairs of equal-length sides.
(7) True. All parallelograms have a pair of parallel sides.
(8) True. All squares have a pair of parallel sides.

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