Solving for x.
4(x-3)=28
x=10
Is the point (0,5) on the line y=(3/4)x+5?
Yes
5=(3/4)(0)+5
5=5
Describe the transformation.
Reflection
Find the length of the leg if the hypotenuse is 5ft and the other leg is 3ft.
4ft.
Graph the equation y=(1/2)x+6
Slope: (1/2)
m=(1/2)
Y-intercept: (0,6)
b=6
5x=40
x=8
Is the point (1, 10) on the line y=(3/4)x+5?
No
10 = (3/4)(1) + 5
10 = .75 + 5
10 does not equal 5.75
Describe the Transformation.
Dilation
Find the hypotenuse of a right triangle with legs of 6in. and 8in..
10in.
Graph the equation y=(-4/3)x+5
Slope: (-4/3)
m=(-4/3)
Y-intercept: (0,5)
b=5
7 + 2 (x + 3) = 25
x=6
Is the point (3, 13) on the line y=(3/4)x+5?
No,
13 = (3/4)(3) + 5
13 does not equal 7.25
Describe the transformation.
Rotation
Find the missing side length of the triangle. One leg is 15in. and the other leg is 20in..
25in
Graph the following equation y=9x-8
Slope:9
m=9
Y-intercept: (0, -8)
b=-8
0.5x=7
x=14
Is the point (4 , 8) on the line y=(3/4)x+5?
Yes.
8=(3/4)(4)+5
8=3+5
8=8
Describe the transformations.
Translation
Vertical angles are the same shape and size, making them . (Hint: it is a vocabulary word)
congruent
Graph the following equation y=5x
Slope: (5/1)
Y-intercept: (0,0)
63x+23x+14=100
x=1
Is the point (3,8) on the line y=(2/3)x+6?
Yes.
8=(2/3)(3)+6
8=2+6
8=8
What are the new points of a square after being dilated by a factor of 5?
(1, 2)
(5, 2)
(1, 6)
(5, 6)
(5, 10)
(25, 10)
(5, 30)
(25, 30)
Explain the relationship between two alternate exterior angles.
Alternate exterior angles are created when a transversal cuts through two parallel lines. These two angles have to be on the exterior of the parallel lines and on opposite sides of the transversal.
Graph y=x
Slope: (1/1)
Y-intercept: (0,0)