Geometry of 2D Shapes: Master the Basics of Shape, Space, and Measures

Question 1

Which statement about a rhombus is false?

Accepted Answer

Opposite angles are supplementary

Answer

Opposite sides are parallel and equal

Answer

Diagonals are perpendicular bisectors

Answer

All sides are equal

Question 2

Which transformation does not preserve the orientation of a shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 3

Which transformation results in a congruent image?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 4

Calculate the area of a triangle with a base length of 8 cm and a height of 6 cm.

Accepted Answer

24 cm²

Answer

12 cm²

Answer

48 cm²

Answer

96 cm²

Question 5

Which statement is not a property of a circle?

Accepted Answer

The area is equal to πr²

Answer

All points on the circle are equidistant from the center

Answer

The circumference is equal to 2πr

Answer

Diameters divide the circle into two equal halves

Question 6

Find the measure of an angle that is supplementary to an angle measuring 120°.

Accepted Answer

180°

Answer

30°

Answer

60°

Answer

240°

Question 7

Which of the following is a Pythagorean triple?

Accepted Answer

(3, 4, 5)

Answer

(5, 12, 13)

Answer

(6, 8, 10)

Answer

(7, 24, 25)

Question 8

Identify the property that is NOT characteristic of a square:

Accepted Answer

Opposite sides have different lengths.

Answer

Contains four right angles

Answer

Diagonals intersect at right angles

Answer

All sides are equal in length

Question 9

Identify the formula for calculating the area of a trapezoid:

Accepted Answer

A = (b1 + b2) / 2 * h

Answer

A = l * w

Answer

A = b * h

Answer

A = πr²

Question 10

Which of the following is an example of a regular polygon?

Accepted Answer

Square

Answer

Trapezoid

Answer

Triangle

Answer

Circle

Question 11

Determine the equation of a circle with its center located at (2, 3) and a radius of 4.

Accepted Answer

(x - 2)² + (y - 3)² = 16

Answer

(x + 2)² + (y + 3)² = 16

Answer

(x - 2)² + (y - 3)² = 4

Answer

(x + 2)² + (y + 3)² = 4

Question 12

What is the formula used to calculate the area of a triangle?

Accepted Answer

0.5 x base x height

Answer

0.25 x base x height

Answer

base x height

Answer

base + height

Question 13

Determine the perimeter of a rectangular shape having a length of 5 centimeters and a width of 3 centimeters.

Accepted Answer

16 centimeters

Answer

20 centimeters

Answer

25 centimeters

Answer

10 centimeters

Question 14

Which defining property of a circle is most accurate?

Accepted Answer

The distance from any point on the circle to its center is constant.

Answer

The circumference of a circle is greater than its diameter.

Answer

Circles consist of four equal sides.

Question 15

Which statement about parallelograms is true?

Accepted Answer

Their opposite sides are parallel and equal in length.

Answer

All four angles of a parallelogram are right angles.

Answer

All sides of a parallelogram are the same length.

Answer

Their diagonals intersect at right angles.

Question 16

Find the sum of the interior angles of a hexagon.

Accepted Answer

720 degrees

Answer

540 degrees

Answer

360 degrees

Question 17

Calculate the area of a trapezoid with a height of 6 centimeters, base 1 of 8 centimeters, and base 2 of 12 centimeters.

Accepted Answer

60 cm²

Answer

30 cm²

Answer

90 cm²

Question 18

Calculate the area of a square having a side length of 5 cm.

Accepted Answer

25 cm²

Answer

5 cm²

Answer

10 cm²

Answer

20 cm²

Question 19

Which of these 2D shapes exhibits rotational symmetry of order 6?

Accepted Answer

Regular hexagon

Answer

Square

Answer

Circle

Answer

Rectangle

Question 20

Determine the perimeter of a rectangle with a length of 8 cm and a width of 5 cm.

Accepted Answer

26 cm

Answer

16 cm

Answer

40 cm

Answer

13 cm

Question 21

Calculate the area of a triangle with a base of 8 cm and a height of 6 cm.

Accepted Answer

24 cm²

Answer

12 cm²

Answer

16 cm²

Answer

48 cm²

Question 22

Which transformation preserves the size and shape of a figure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 23

Which polygon has all sides of equal length and all angles of equal measure?

Accepted Answer

Square

Answer

Triangle

Answer

Pentagon

Answer

Rectangle

Question 24

Find the circumference of a circle with a diameter of 10 cm.

Accepted Answer

31.42 cm

Answer

25.13 cm

Answer

15.71 cm

Answer

50.27 cm

Question 25

Which property is NOT applicable to parallelograms?

Accepted Answer

Diagonals are of equal length

Answer

Diagonals bisect each other

Answer

Opposite sides are parallel

Answer

Opposite angles have equal measure

Question 26

Which transformation involves flipping a figure over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Dilation

Answer

Rotation

Question 27

Which property is NOT characteristic of a circle?

Accepted Answer

It has 4 congruent sides.

Answer

It exhibits central symmetry.

Answer

Its circumference is given by 2πr.

Answer

It possesses a constant radius.

Question 28

Determine the perimeter of a square with a side measuring 4 centimeters.

Accepted Answer

16 centimeters

Answer

8 centimeters

Answer

12 centimeters

Answer

24 centimeters

Question 29

Which shape does NOT fall under the classification of a polygon?

Accepted Answer

Circle

Answer

Triangle

Answer

Rectangle

Answer

Square

Question 30

Determine the measure of each interior angle in a regular hexagon.

Accepted Answer

120 degrees

Answer

90 degrees

Answer

150 degrees

Answer

180 degrees

Question 31

Which of the following is not a characteristic of a parallelogram?

Accepted Answer

Two right angles

Answer

Opposite sides are equal

Answer

Opposite sides are parallel

Answer

Diagonals bisect each other

Question 32

Which transformation reflects a figure over a line?

Accepted Answer

Reflection

Answer

Dilation

Answer

Translation

Answer

Rotation