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Opposite Angles in a Parallelogram Are Equal

Adjacent angl...

Question

Adjacent angles are supplementary in

A

Square, rhombus and kite

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B

Rectangle, rhombus and kite

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C

Rhombus, square and kite

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D

Rectangle, rhombus and square

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Solution

The correct option is D
Rectangle, rhombus and square

Adjacent angles are supplementary in parallelograms. Rectangle, square and rhombus are parallelograms, but kite is not.

Hence, adjacent angles are supplementary in rectangle, rhombus and square.

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Similar questions

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

The fundamental difference between a rhombus and a kite is that the sum of adjacent angles are supplementary in a kite.

Q. 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.

If $A P B$ and $C Q D$ are two parallel lines then the bisectors of $∠ A P Q, ∠ B P Q, ∠ C Q P a n d ∠ P Q D$ enclose a

(a) square

(b) rhombus

(c) rectangle

(d) kite

p :

Every square is a rectangle

q :

Every rhombus is a kite then truth value of

p \to q

p \leftrightarrow q

are ______ and _______ respectively.

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