Angle Relationships
One complementary angle is 45, this means the other angle has a measure of...
45 degrees
Scale Drawing
A drawing of an object, place or image that is different in size but maintains the same ratio for all of it's sides and angles.
What is the cross section when you cut a cube horizontally?
A square
If the ratio is 2 in: 1 foot how many feet does 12 inches represent?
6 feet
Two angles are complementary. If one of the angles is double the other angle, find the two angles.
30 and 60
One angle is 2 times the measure of the other. Together they are supplementary. What are the measures of the two angles?
60 and 120
2x + x = 180
3x = 180
/3 /3
x = 60 x = 60 2x = 120
Plane
A flat surface that extends forever in all directions. Often used to find a cross section.
What is the cross section when you cut a rectangular pyramid horizontally?
A rectangle
If the ratio is 3cm/4ft what is the measurement of the real life side with a drawing where the side measures 15 inches?
20 feet
Two complementary angles are equal to each other. What is the measure of each angle?
45 degrees.
Three supplementary angles are x, 60 and a right angle. What is the measure of the third angle?
30
x + 60 + 90 (right angle) = 180
x = 30
Complementary and Supplementary
Two or more angles that come together to equal 90 and 180 degrees.
What is the cross section when you cut a pyramid vertically down the center?
A triangle
If 2cm:7m how many cm would be drawn to represent a 49m wall?
14cm
If 4 angles are supplementary and equal, what is the measure of each angle?
45 degrees
If two angles are represented by 3x and 2x and together they are complementary what are the measures of the two angles?
36 and 54
3x + 2x = 90
5x = 90
/5 /5
x = 18
What is the rule for the sides of a triangle?
What is the cross section when you cut a cone horizontally?
A wall that is 54 meters is represented in a drawing by a scaled drawing of 9 inches. What is the ratio?
1 inch: 6 meters
or
1in/6m
Two equal angles combine with a right angle along a straight line. What is the measure of all 3 angles?
45, 45 and 90
The measure of the angles along a straight line are
60, x + 5, x -5, x + 10, 1.5x and x.
What is the measure of each angle?
60
x + 5 = 25
x - 5 = 15
x + 10 = 30
1.5x + 30
x = 20
Vertical Angles
Two angles that are on opposite sides of a vertex formed by two intersecting lines. Vertical angles are congruent.
What is the cross section when you cut a cylinder right against the side?
A line
A map of a city has a 3 mile road represented by 1.5 inches on a map. What is the ratio of miles to inches?
2 miles: 1 inch
Two supplementary angles are 2 degrees apart. What are their measures?
89 and 91