RD Sharma Solutions for Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.3

RD Sharma Class 9 Mathematics Chapter 14 Exercise 14.3 solutions for Quadrilaterals are provided here. In this exercise, students will learn about conditions for a quadrilaterals to be a parallelogram and some important theorems results. Students can download all the Exercise 14.3 of  RD Sharma Class 9 Solutions in the form of a PDF by clicking on the given link below.

RD Sharma Solutions for Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.3

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Access Answers to Maths RD Sharma Solutions for Class 9 Chapter 14 Quadrilaterals Exercise 14.3 Page number 14.38

Question 1: In a parallelogram ABCD, determine the sum of angles ∠C and ∠D.

Solution:

In a parallelogram ABCD , ∠C and ∠D are consecutive interior angles on the same side of the transversal CD.

So, ∠C + ∠D = 180⁰

Question 2: In a parallelogram ABCD, if ∠B = 135⁰, determine the measures of its other angles.

Solution:

Given: In a parallelogram ABCD, if ∠B = 135⁰

Here, ∠A = ∠C, ∠B = ∠D and ∠A + ∠B = 180⁰

∠A + 135⁰ = 180⁰

∠A = 45⁰

Answer:

∠A = ∠C = 45⁰

∠B = ∠D = 135⁰

Question 3: ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

Solution:

We know, diagonals of a square bisect each other at right angle.

So, ∠AOB = 90⁰

Question 4: ABCD is a rectangle with ∠ABD = 40⁰. Determine ∠DBC.

Solution:

Each angle of a rectangle = 90^o

So, ∠ABC = 90⁰

∠ABD = 40⁰ (given)

Now, ∠ABD + ∠DBC = 90⁰

40⁰ + ∠DBC = 90⁰

or ∠DBC = 50⁰ .

RD Sharma Solutions for Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.3

RD Sharma Solutions Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.3 is based on the following topics:

1. Conditions for a Quadrilateral to be a Parallelogram

2. Important theorems statements:

• A quadrilateral is a parallelogram if its opposite sides are equal.
• A quadrilateral is a parallelogram if its opposite angles are equal.
• If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
• A quadrilateral is a parallelogram if its one pair of opposite sides are equal and parallel.
• Properties of Rectangle, Rhombus and a Square
• Theorems on Rectangle, Rhombus and a Square