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 solutions in the form of pdf by clicking on the given link below.

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

Access Answers to Maths RD Sharma 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 .

Access other exercise solutions of Class 9 Maths Chapter 14 Quadrilaterals

Exercise 14.1 Solutions

Exercise 14.2 Solutions

Exercise 14.4 Solutions

Exercise VSAQs Solutions

RD Sharma Solutions for Class 9 Maths Chapter 14 Exercise 14.3

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

1. Conditions for a Quadrilaterals 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