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 pdf by clicking on the given link below.
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.
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.
Given: In a parallelogram ABCD, if ∠B = 1350
Here, ∠A = ∠C, ∠B = ∠D and ∠A + ∠B = 1800
∠A + 1350 = 1800
∠A = 450
∠A = ∠C = 450
∠B = ∠D = 1350
Question 3: ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.
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.
Each angle of a rectangle = 90o
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 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 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