Square

Q. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

1. 
2. 
3. 
4. 

Q.

A triangle has sides of length $6,8,$ and $10$.

Is it a right triangle? Explain.

Q.

In the given figure, aBCD is a square. Find the measure of $\angle CAD$.

Q.

In the given figure, ABCD is a square. Then the value of 'x' is

1. 
2. 
3. 
4. 

Q.

Which one of the following is not a parallelogram?

1. Trapezium

2. Square

3. Rectangle

4. Rhombus

Q. Is rectangle a square explain

Q.

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All rhombuses are kites.

iv) All squares are rectangles.

1. i, ii

2. ii, iii

3. i, iii, iv

4. None of these

Q. In the given figure, ABCD is a square , then the value of 'x' is

1. ${50}^{\circ }$
2. ${35}^{\circ }$
3. ${130}^{\circ }$
4. ${40}^{\circ }$

Q.

In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is

(a) 4 (b) 5 (c) 6 (d) 8

Q. How to make a $4\times 4$ magic square?

Q. Length and breadth of a rectangular wire are 9 cm and 7 cm respectively. If the wire is bent into a square, find the length of its side.

Q.

To construct a square, we need to know:

1. All sides

2. All angles

3. One side

4. One angle

Q.

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

1. ii, iv

2. i, ii, iii, iv

3. i, ii

4. All of them.

Q.

A rectangle whose adjacent sides are equal becomes a __________.

Q.

Give reasons for the following:

(a) A square can be thought of as a special rectangle.

(b) A rectangle can be thought of as a special parallelogram.

(c) A square can be thought of as a special rhombus.

(d) Squares, rectangles, parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.

Q.

Question 112(ii)

In the given figure, show that
EF || GH

Q. In the given figure, ABCD is a square. Find the measure of $\angle CAD$.

1. ${22.5}^{\circ }$
2. ${30}^{\circ }$
3. ${45}^{\circ }$
4. ${90}^{\circ }$

Q. Select the correct statement(s).
I. Set of squares is a subset of set of rhombuses.
II. Set of squares is a subset of set of rectangles.
III. The diagonals of a rhombus divide it into 4 congruent triangles.

1. I and II only
2. III and II only
3. I and III only
4. All of the given statement

Q.

$\text{In square PQRS :}\left(i\right)ifPQ=3x-7andQR=x+3;findPS\left(ii\right)ifPR=5xandQR=9x-8.FindQS$

Q.

The angle bisectors of a rectangle will form

1. rhombus

2. Hexagon

3. Square

4. rectangle

Q.

Which of the following statements are true for a square?
(i) It is rectangle.
(ii) It has all its sides of equal length.
(iii) Its diagonals bisect each other at right angle.
(iv) Its diagonals are equal to its sides.

Q.

An exterior angle of a triangle is $110°$ and its two interior opposite angles are equal. Find each of these equal angles.

Q.

Question 3 (iii)
Explain how a square is:

(iii) A rhombus

Q.

If a $△$QPR is right angled at P, then which is the longest side of the triangle?

1. QR

2. PR

3. Can't be determined.

4. PQ

Q. ABCD is a square. Find the value of x and the sum of the lengths of diagonals of the square ABCD.

1. 1 cm and 20 cm
2. 2 cm and 20 cm
3. 5 cm and 40 cm
4. 4 cm and 30 cm

Q.

What are the minimum number of measurements needed to construct a square?

1. 1

2. 2

3. 3

4. 4

Q.

Question 17

In the given figure, PA|| BC|| DT and AB|| DC. Then, the values of a and b

(a) ${60}^{\circ },{120}^{\circ }$
(b) ${50}^{\circ },{130}^{\circ }$
(c) ${70}^{\circ },{110}^{\circ }$
(d) ${80}^{\circ },{100}^{\circ }$

Q.

Question 1 (d)
State whether true or false.

(d) All squares are not parallelograms.

Q.

Question 2 (b)
Identify all the quadrilaterals that have:

(b) Four right angles.

Q. Given all the four sides of a quadrilateral is 4 cm and all the angles are right angles, the quadrilateral so constructed is a square. State True or False.

1. True
2. False