Polygon

Q.

Find the area of a square whose side is $25cm$.

Q.

What is definition of line?

Q. Is there any property which states that quadrilaterals on same base between same parallels have equal areas?

Q. If ABCD is a parallelogram in which P and Q are centroids of Triangle ABD And Triangle BCD, then PQ equals

Q.

differentiate between trapezium and trapezoid

Q. In a rectangle ABCD, E is the mid point on AC such that BF is perpendicular to AC; and FE perpendicular to BD .SUPPOSE BC = 83. Find AB

Q.

How many dimensions does a surface have according to Euclid?

1. 2

2. 3

3. 1

Q. The consecutive sides of a quadrilateral have

(a) no common point

(b) one common point

(c) two common points

(d) infinitely many common points

Q. Question 12
A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram
Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given the equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.

Q. what is the importance of set theory in mathematics?

Q. ABCD and PQRC are rectangles, where Q is mid-point of AC. Prove that: (i) DP=PC (ii) PR=1/2AC

Q. 15 ABCD is a rectangle in which DP and BQ are perpendiculars from D and B respectively on diagonal AC . Show that -ADP CBQ, ADP = CBQ, DP= BQ

Q. A point is a figure that has no dimensions.

1. True
2. False

Q. A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹5 per $c{m}^2$. Find the cost of painting the sheet.

Q. A polygon is a closed planar figure.

1. True
2. False

Q.

Anshul took a paper and put down his pencil on it. But as soon as he put the pencil on the paper, he was called for some work. The pencil left a small mark on the paper which looked like the figure shown below. What is that mark usually called?

1. Angle

2. Point or Dot

3. Line

4. Line segment

Q.

Match the two columns for the figure shown below.
(4 marks)

$\begin{array}{cc}\text{Column - I}& \text{Column - II}\\ \text{(A) Area of}\square DABC& \text{(p) 41}\\ \text{(B) Area of}\Delta ADC& \text{(q) 126}\\ \text{(C) Area of}\Delta ABC& \text{(r) 306}\\ \text{(D) AC}& \text{(s) 180}\end{array}$

Q. Mark the correct alternative in each of the following:
The opposite sides of a quadrilateral have

(a) no common point

(b) one common point

(c) two common points

(d) infinitely many common points

Q. A point is a figure that has no dimensions.

1. True
2. False

Q. Question 9
A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per $c{m}^2$. Find the cost of painting.

Q. A polygon is a closed planar figure.

1. False
2. True

Q.

Area of Hexagon PQRSTU = Area of∆PQN + Area of quad QRLN +Area of∆RSL + Area of ∆TLS + Area of quad OMTU +Area of∆POU

Is it correct?

1. True

2. False

Q. A line segment has a finite length.

1. True
2. False

Q.

Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?

1. Three set of three collinear points

2. One set of five collinear points

3. One set of four collinear points and one set of three collinear points

4. All point necessarily have to be collinear

Q.

Area of Hexagon PQRSTU = Area of∆PQN + Area of quad QRLN +Area of∆RSL + Area of ∆TMS + Area of quad OMTU +Area of∆POU

1. False

2. True

Q.

Anshul drew a figure that looked like the one shown in the figure given below

1. Square

2. Quadrilateral

3. Trapezium

4. None of these

Q. In an isosceles △ ABC with AB=AC, BD is a perpendicular drawn from B onto side AC. Prove that: BD^2-CD^2=2CD.AD

Q. advantages of mensuration

Q.

Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?

1. Three set of three collinear points

2. One set of five collinear points

3. One set of four collinear points and one set of three collinear points

4. All point necessarily have to be collinear

Q.

Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?

1. Three set of three collinear points

2. One set of five collinear points

3. One set of four collinear points and one set of three collinear points

4. All point necessarily have to be collinear