Which transformation will NOT produce an image congruent to its pre-image?
Dilation
2(y + 6) = 6 + 4y
y = 3
Which two angles have a sum that is equal to exterior angle d?
Angles a and c
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.
When writing numbers in Scientific Notation, the coefficient is always between the numbers _____ and _____, and the base is always number ______.
When writing numbers in Scientific Notation, the coefficient is always between the numbers __1__ and __10__, and the base is always number __10__.
Between which two integers does the value of the square-root of 240 lie?
What is 15 and 16
If triangle ABC is dilated with a scale factor of 3, what will vertex A (2, -4) be for the dilated figure?
(6, -12)
6 = (2 - x)/(3)
x = -16
What is the measure of angle x?
63 + 86 = 149 degrees
Which transformation produces similar figures and not congruent figures?
Dilation
What is: 3.07 x 10-4
Write an equation for the amount of nuggets (n) eaten per hour (h).
n = 4h
What transformations occurred?
Dilation and Rotation
4(x + 2) - 4 = 2x + 12
x = 4
If Triangle ABC ~ Triangle DEF what angle is congruent to angle E?
Angle B
How can you prove that the triangles are similar?
All the corresponding angles are congruent.
What is an equivalent fraction to 0.625?
Determine the number of solutions:
4(2 x+ 9) = 4(2 x+ 6)
No solution
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.
.5(5 - 3x) = 4.5x - 3.5
x = 1
Triangle ABC ~ Triangle DEF
What is the measure of angle E?
40 degrees
Name the angle using 3 letters that is congruent to <TRS.
<CAB
Determine the simplified value of: 83 x 8-5 x 80
What is 1/82 or 1/64
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
If the trapezoid below is dilated by a scale factor of 3, what will the new coordinates be for point B'?
B' (-3, 6)
Distribute:
1/5( 4x - 15)
4/5x - 3
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.
Which angle is vertical angles with <AEC?
<DEB
A company used about 7.4 x 105 sheets of paper in a month. Of the paper used during the month, the accounting department used about 8 x 104 of the sheets. About how many sheets of paper were used by other departments during the month?
What is 8.2 x 105 sheets of paper.
Determine the value of x:
1/2(8x – 16) + 12x = –(2x) + 28
What is x = 2