BSEP Geometric Principles 5 â Questions and Answers
Question 1: A rectangular room is 15 ft long and 10 ft wide. How many square feet of carpet are needed to cover the floor?
- 150 ft² (Correct answer)
- 50 ft²
- 100 ft²
- 125 ft²
Correct answer: 150 ft²
Area = length à width = 15 à 10 = 150 ft².
Question 2: What do you call a polygon with 8 sides?
- Octagon (Correct answer)
- Pentagon
- Heptagon
- Decagon
Correct answer: Octagon
An octagon has 8 sides; 'octo' is the Latin prefix for eight.
Question 3: If two lines intersect, the angles directly across from each other are called:
- Vertical angles (Correct answer)
- Adjacent angles
- Supplementary angles
- Complementary angles
Correct answer: Vertical angles
Vertical angles are the opposite pairs formed when two lines intersect, and they are always equal in measure.
Question 4: A parallelogram has a base of 10 m and a height of 4 m. What is its area?
- 40 m² (Correct answer)
- 28 m²
- 80 m²
- 14 m²
Correct answer: 40 m²
Area of a parallelogram = base à height = 10 à 4 = 40 m².
Question 5: Which of the following is NOT a property of a rectangle?
- All four sides are equal in length (Correct answer)
- Opposite sides are equal
- All angles are 90°
- Diagonals bisect each other
Correct answer: All four sides are equal in length
Having all four sides equal is a property of a square (or rhombus), not a rectangle in general.
Question 6: What is the measure of each interior angle of a regular hexagon?
- 120° (Correct answer)
- 60°
- 108°
- 90°
Correct answer: 120°
Sum of interior angles of a hexagon = (6â2)Ă180° = 720°; each angle = 720° á 6 = 120°.
Question 7: A right triangle has legs of 5 cm and 12 cm. What is the length of the hypotenuse?
- 13 cm (Correct answer)
- 17 cm
- 11 cm
- 60 cm
Correct answer: 13 cm
Using the Pythagorean theorem: 5² + 12² = 25 + 144 = 169, so hypotenuse = â169 = 13 cm.
BSEP Geometric Principles 5
A rectangular room is 15 ft long and 10 ft wide.
How many square feet of carpet are needed to cover the floor?