Two-dimensional Geometric Figures-Gr 5-Solved Examples

Solved Examples and Worksheet for Two-dimensional Geometric Figures

Q1Which one of the figures shown represents a trapezoid?

A. Figure A
B. Figure B
C. Figure C
D. Figure D

Solutions

Step: 1

A trapezoid is a quadrilateral that has exactly one pair of parallel sides.

Step: 2

From the figures, figure C is a quadrilateral and has exactly one pair of parallel sides.

Step: 3

Figure C represents a trapezoid.

Correct Answer is : Figure C

Q2A triangle in which all sides and all angles are equal is called ______ triangle.

A. an equilateral
B. a scalene
C. an isosceles
D. a right

Solutions

Step: 1

A triangle in which all the three sides are equal and all angles are equal is called an equilateral triangle.

Correct Answer is : an equilateral

Q3Identify a parallelogram.

A. Figure 1
B. Figure 2
C. Figure 3
D. All the above

Solutions

Step: 1

A parallelogram is a quadrilateral in which, the pair of opposite sides are parallel and opposite angles are equal.

Step: 2

All the figures given in the choices A, B, and C are parallelograms.

[The opposite sides and angles are equal in all figures.]

Correct Answer is : All the above

Q4How many vertices are there in the figure?

A. 2
B. 6
C. 4
D. 5

Solutions

Step: 1

The common end point of the two rays or line segments forming an angle is called the vertex.

Step: 2

A,B,C and D are the vertices.

Step: 3

So, there are 4 vertices.

Correct Answer is : 4

Q5The measure of one of the three angles in a triangle is 90°. Name the triangle.
A. right triangle
B. scalene
C. isosceles
D. equilateral

Solutions

Step: 1

A triangle in which one angle measures 90° is a right triangle.

Correct Answer is : right triangle

Q6Which of the statements is true?
A. An equilateral triangle has three angles equal.
B. One angle in an equilateral triangle is equal to 90°.
C. An equilateral triangle has none of angles equal.
D. An equilateral triangle has only two angles equal.

Solutions

Step: 1

An equilateral triangle is a triangle in which all the three sides and the angles are congruent.

Step: 2

So, the statement, 'An equilateral triangle has three angles equal', is true.

Correct Answer is : An equilateral triangle has three angles equal.

Q7Which of the figures is a hexagon?

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Solutions

Step: 1

A hexagon is a closed figure formed by joining six line segments.

Step: 2

Among the figures, Figure 2 has 6 sides.

Step: 3

So, Figure 2 is a hexagon.

Correct Answer is : Figure 2

Q8Which of the figures is an octagon?

A. Figure 3
B. Figure 4
C. Figure 1
D. Figure 2

Solutions

Step: 1

An octagon is ' eight sided polygon ' .

Step: 2

So, Figure 3 is an octagon.

Correct Answer is : Figure 3

Q9Which quadrilateral has four congruent sides?

A. square or rectangle
B. trapezoid
C. rectangle or isosceles trapezoid
D. rhombus or square

Solutions

Step: 1

[Given.]

Step: 2

A quadrilateral with four congruent sides is a rhombus or a square.

[By definition.]

Correct Answer is : rhombus or square

Q10The teacher told Greg to draw a polygon with more than 4 sides. Which one of the following can he draw?
A. triangle
B. square
C. rectangle
D. pentagon

Solutions

Step: 1

Among the choices given, a triangle has 3 sides, a square and a rectangle have 4 sides each, and a pentagon has 5 sides.

Step: 2

5 > 4 > 3

Step: 3

So, Greg can draw a pentagon.

Correct Answer is : pentagon

Q11Which of the following describes a parallelogram?
A. 4 right angles
B. 2 right angles
C. 2 pairs of parallel lines
D. 4 equal sides

Solutions

Step: 1

A quadrilateral with two pairs of opposite sides parallel is called a parallelogram.