Dilations
What are the new coordinates of vertex J(1,-4) after a dilation with a scale factor of 2?
J'(2,-8)
What happens to a figure that is dilated with a scale factor greater than 1?
Enlargement/Bigger/Grows
What is the value of x?
x/4=15/12
5
The angle measures in a triangle have a sum of ______ degrees.
180
What is slope?
The steepness of a line. Vertical change divided by horizontal change.
A dilation may change the size of a figure's side lengths, but never the ________________.
Angle measures
True or False: Dilations always make a figure smaller.
False
Simplify the ratio 24/42
4/7
Determine whether the pair of triangles are similar, not similar, or if there is not enough information.
Triangle J: 40 degrees, 85 degrees
Triangle K: 85 degrees, 55 degrees
What is the slope of line a?
3
<HIJ measures 30 degrees and is dilated by a scale factor of 3. What is the measure of <H'I'J'?
30 degrees
A figure has a vertex of (-6,9) and dilates to a measurement of (-2,3). What is the scale factor?
1/3
Name the 4 types of transformations.
Translation, rotation, reflection, dilation
Determine whether the pair of triangles are similar, not similar, or if there is not enough information.
Triangle M: 30 degrees, 70 degrees
Triangle N: 70 degrees, 55 degrees
Not Similar
What is the slope of line b?
2/3
Segment WX is dilated by a scale factor of 1/2. Segment W'X' measures 23. What is the measure of segment WX?
46
Similar figures have _________ angles and _________ corresponding sides.
Congruent, Proportional
The points (1,3), (4,4), and (1,5) were reflected over the y-axis and then translated 1 unit up and 4 units to the left. What are the new coordinates?
(-5,4), (-8,5), (-5,6)
Triangle ABC is similar to Triangle A'B'C'. Determine the length, in units, of segment A'B'.
AB = 6 A'B' = ?
AC = 8 A'C' = 2
BC = 10 B'C' = 2.5
3/2 or 1.5
What is the slope of line c?
1/2
Triangle DEF has vertices located at D(0,6), E(10,4), and F(6,8). Triangle D'E'F' is the result of dilating Triangle DEF using the origin as the center of dilation and a scale factor of 1/2. What are the coordinates of the image? Find D', E', and F'
D'(0,3)
E'(5,2)
F'(3,4)
Determine the missing values.
FG = 22.5 E'G' = 6
You win 500 free points!
:)
Triangle XYZ is similar to Triangle X'Y'Z'. Determine the length, in units, of segment YZ.
XY = 6 X'Y' = 15
XZ = 10 X'Z' = ?
YZ = ? Y'Z' = 20
8
Whose slope triangle is correct? Explain your thinking.
Both are correct. Tyler's slope triangle is 2/4 and Elena's slope triangle is 1/2. Both simplify to 1/2.