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6.1: Intro to Triangles
6 Types of Triangles:
Based on Angles:
Right Triangle: one angle is 90 degrees
Acute Triangle: All angles are less than 90 degrees
Obtuse Triangle: One angle is greater than 90 degrees
Based on Side Lengths:
Equilateral Triangle: all sides are equal & all angles are equal
Isosceles Triangle: 2 sides are equal & 2 angles are equal
Scalene Triangle: no sides nor angles are equal
Practice
Practice PDFs available for download:
6.2: Intro to Angles
Example 1) How to use a protractor to measure angles
Step 1) Find the vertex and put the mid-point of the protractor there.
Step 2) Find where the angle arm reaches
Types of Angles:
Right / 90* angle
Acute Angle
(less than 90*)
Obtuse Angle
(Greater than 90*)
Reflex Angle
Exterior Angle
Practice
Practice PDFs available for download:
6.3: Area of Triangles
Example 1) Calculate the area of the following triangle:
Formula:
A =
Base x Height
2
6cm
10cm
8cm
Step One: Fill in the formula with what you know; base is 8cm, height is 6cm
8cm x 6cm
2
Step Two: Complete the top part of the equation (8*6)
8cm x 6cm
= 48cm
Step Three: Complete the top part of the equation (8*6)
48cm
2
= 24cm
2
Practice
Practice PDFs available for download:
6.4: Polygons
Polygon: a multiple-sided shape
-
a closed shape
-
sides are stright line segments
-
only 2 sides meet at a vertex
Non-Polygons:
Regular Polygon: all sides are equal and all angles equal:
Irregular Polygon: Does not have all sides equal and all angles equal:
Convex Polygon: Has all angles less than 180*:
Concave Polygon: Has at least one angle greater than 180*:
Perimeter of Polygons
Perimeter: is the distance around a polygon
P = sum of all side lengths
8cm
6cm
Perimeter = 8 + 7 + 6
= 21cm
7cm
Practice
Practice PDFs available for download:
6.5: Area of Rectangles
Area = (Length) x (width)
Formula:
Example 1) Calculate the area of the following rectangle:
Area = 3 x 9
= 27m
2
3m
9m
Here we say, "twenty-seven meters squared."
We say squared because it lets everyone know our answer is 2 dimensional (both length & width) to cover space
Practice
Practice PDFs available for download:
6.6: Volume of Rectangular Prisms
Volume is the three dimensional space a figure takes up.
Calculated in cubic units
Length x Width x Height
Formula:
Example 1) Calculate the volume of the following rectangular prism:
2
V = l x w x h
= 11cm x 4cm x 5cm
= 44cm x 5cm
= 220cm
3
Here we say, "two-hundred twenty centimeters cubed."
We say Cubed because it lets everyone know our answer is 3 dimensional (both length & width &height) to fill 3D space
Practice
Practice PDFs available for download:
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