Geometry Flashcards
7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Geometry flashcards as text
What is the number of sides in the triangle?
Answer: 3
By definition, a triangle is a polygon with three straight sides and three angles. It is the simplest polygon that can enclose a space. The prefix 'tri-' explicitly indicates the number three.
One of the polygons is an octagon. What is the number of its sides?
Answer: 8
An octagon is a polygon with eight sides. The prefix 'octa-' is derived from Greek and means eight, directly indicating the number of sides and angles in this geometric shape. Examples include stop signs, which are octagonal.
Six inches is the length and four inches is the width of a rectangle. The region is in2.
Answer: 24
The area of a rectangle is calculated by multiplying its length by its width. In this case, a length of 6 inches multiplied by a width of 4 inches equals 24 square inches. The unit 'in²' correctly represents square inches for area.
45 cm2 is the area of a rectangle. Its width in centimeters, given its length of 9 cm
Answer: 5
The area of a rectangle is found by multiplying its length by its width (Area = Length × Width). Given the area is 45 cm² and the length is 9 cm, we can find the width by dividing the area by the length: 45 cm² / 9 cm = 5 cm. Therefore, the width of the rectangle is 5 cm.
A square has a 24 cm perimeter. The square has an area of cm².
Answer: 36
First, determine the side length of the square from its perimeter. A square has four equal sides, so the perimeter (24 cm) divided by 4 gives a side length of 6 cm. Then, calculate the area of the square by multiplying the side length by itself (side × side), which is 6 cm × 6 cm = 36 cm².
What number of 2 cm squares' worth of sides are there on the surface of a 24 cm by 8 cm rectangle?
Answer: 48
To find how many 2 cm squares fit into the rectangle, first calculate the area of the rectangle: 24 cm × 8 cm = 192 cm². Next, calculate the area of one 2 cm square: 2 cm × 2 cm = 4 cm². Finally, divide the total area of the rectangle by the area of one small square: 192 cm² / 4 cm² = 48 squares.
A triangle whose single angle is more than 90 degrees.
Answer: Obtuse triangle
An obtuse triangle is defined as a triangle that has one angle measuring more than 90 degrees. Since the sum of angles in any triangle is 180 degrees, a triangle can have at most one obtuse angle. The other two angles in an obtuse triangle must be acute (less than 90 degrees).