Types of Polygons
What do you call a shape that has
(1) NO Gaps or Openings
(2) Straight Lines
We can classify triangles by their ________ and _________
Sides and Angles
A quadrilateral is . . .
a four sided shape
How do you find perimeter?
You ADD all the sides together
What is the formula you would use to find the volume of a box given the bottom layer and height?
Volume = Area of Base x Height
We name polygons by the ______________
Number of Sides
What is the difference between SCALENE, ISOSCELES, and EQUILATERAL?
Scalene - No Equal Sides
Isosceles - 2 Sets of Equal Sides
Equilateral - All Equal Sides [3 equal sides]
List All quadrilaterals
Trapezoid, Parallelogram, Rectangle, Rhombus, Square and Kite
A hexagon has a side length of 2.1cm. What is the perimeter around the hexagon?
12.6cm
Find the volume of a cube that has a side length of 5in.
125 cubic inches
What do you name a shape that has 9 sides?
Nonagon
What do you call a triangle that has:
- 2 equal sides
- a right angle
Right Isosceles Triangle
Which shape would fall under the category of parallelogram?
a.) rectangle
b.) hexagon
c.) trapezoid
d.) circle
Rectangle
A rectangle has a side length of 12 ft and a width of 6 ft. A square has a side length of 8 ft. Which shape has the bigger perimeter?
Square = 32 cm
Rectangle has the bigger perimeter.
What is the area of a base given its length is 9 ft and a width of 15 ft.
135 square ft
What do you call a seven sided shape?
A heptagon
Which triangle would fall under acute?
i. Isosceles acute triangle
ii. Equilateral triangle
iii. Scalene acute triangle
iv. Obtuse Scalene triangle
Which shapes CANNOT lead to a SQUARE?
a.) Trapezoid and parallelogram
b.) kite and rectangle
c.) rhombus and kite
d.) trapezoid and kite
Trapezoid and Kite
A triangle and square have a combined perimeter of 63in. The side length of the square is 5in. What is the perimeter of the triangle?
The triangle has a perimeter of 38 inches.
Gabriel has a box with a volume of 60 cubic inches. Which 2 boxes fit the description?
a.) Length = 2 cm Width = 5cm Height = 3 cm
b.) Length = 10 cm Width = 3 cm Height = 2 cm
c.) Length = 7 cm Width = 5 cm Height = 3 cm
d.) Length = 6 Width = 2 cm Height = 5 cm
Only box B and D fit the description.
What has more sides?
Option A: 2 Octogons
Option B: 3 Hexagons
There are 18 sides with 3 Hexagons because hexagons are 6 sided. 3 x 6 = 18, while 2 octagons is only 16 sides.
What are ALL the ways you can classify an Equilateral triangle?
Acute Triangle
Equilateral Triangle
Isosceles Triangle
Rhombus
Debra has a 9 sided shape. It has 2 sides that are 6.3 cm, 3 sides that are 13.2 cm, and 2 sides that are 7.1 cm, and 2 sides that are 11.5 cm. What is the perimeter around that shape?
6.3 + 6.3 + 13.2 + 13.2 + 7.1 + 7.1 + 11.5 + 11.5
=> 76.2 cm
Dante has a fish tank with the following dimensions.
Height = 12 in Width = 8 in Length = 21 in
What is the Area of the Base AND Volume of the fish tank?
Area of Base = l x w => 8 x 21 =>168 sq in
Volume = l x w x h =? 8 x 21 x 12 => 2,016 cubic in