Transformations
Solving Equations
Triangles
Similar Figures
Parallel Lines
Rates
100
Which transformation will NOT produce an image congruent to its pre-image?
Dilation
100
2(y + 6) = 6 + 4y
y = 3
100
Which two angles have a sum that is equal to exterior angle d?
Angles a and c
100
You can prove triangles are similar if two of the angles in the triangle are congruent to each other. Can you prove that for these triangles? Explain.
Yes. The two right angles are congruent and the two angles that are vertical angles are congruent therefore the triangles are similar.
100
Name the 4 congruent angles that are acute.
Angles 2, 4, 5, 7
100
Which graph shows the fastest speed? A or B?
A
200
If triangle ABC is dilated with a scale factor of 3, what will vertex A (2, -4) be for the dilated figure?
(6, -12)
200
6 = (2 - x)/(3)
x = -16
200
What is the measure of angle x?
63 + 86 = 149 degrees
200
Which transformation produces similar figures and not congruent figures?
Dilation
200
What types of angle relationship are angles 5 and 6?
Linear pair and have a sum of 180 degrees.
200
Write an equation for the amount of nuggets (n) eaten per hour (h).
n = 4h
300
What transformations occurred?
Dilation and Rotation
300
4(x + 2) - 4 = 2x + 12
x = 4
300
If Triangle ABC ~ Triangle DEF what angle is congruent to angle E?
Angle B
300
How can you prove that the triangles are similar?
All the corresponding angles are congruent.
300
Name the four angles that are supplementary to angle 1.
Angles 2, 4, 5, 7
300
Write an equation of the line that represents the distance traveled in miles (y) over time in hours (x).
y = 60x
400
What two transformations occurred to produce A'B'C'? Are figures similar or congruent?
Dilation (enlargement) and reflection over the y-axis. They are similar because a dilation occurred so the triangle changed in size.
400
.5(5 - 3x) = 4.5x - 3.5
x = 1
400
Triangle ABC ~ Triangle DEF
What is the measure of angle E?
40 degrees
400
Name the angle using 3 letters that is congruent to <TRS.
<CAB
400
If angle 1 is 110 degrees, what is the measure of angle 5?
70 degrees
400
If the equation y = 50x represents the miles traveled (y) in hours (x), how many miles were traveled in 6 hours?
y = 50 x 6
y = 300 miles
500
If the trapezoid below is dilated by a scale factor of 3, what will the new coordinates be for point B'?
B' (-3, 6)
500
Distribute:
1/5( 4x - 15)
4/5x - 3
500
Exterior Angle of a Triangle Theorem
The exterior angle of a triangle is equal to the ______________________________?
Sum of the two remote interior angles of the triangle.
500
Which angle is vertical angles with <AEC?
<DEB
500
What types of angles are angles 1 and 6?
Alternate Exterior Angles
500
What is the unit rate (slope) of the proportional relationship in the table below? Your answer should be a whole number.
4 meters/second