Dilations
Similarity
Triangles
Slope
Slope from 2 points
100
True or False? Dilations always make a figure smaller.
False
100
Similar figures have...
1. Equal corresponding angles
2. _______ corresponding sides
1. Equal corresponding angles
2. Proportional corresponding sides
100
The sum of all interior angles in a triangle will always equal this number.
180^o
100
What is Slope?
vertical distance divided by horizontal distance
100
What is the slope between (1, 2) and (3, 4)?
1
200
A dilation might change the size of a figure's side lengths but never the _______.
angles
200
2 angles of triangle A measure 40 and 100 degrees. 2 angles of triangle B measure 40 and 40 degrees. Are the 2 triangles similar? Yes or no.
Yes!
200
Side lengths of triangle A are 5, 10, and 12. Side lengths of triangle B are 15, 30, and x (respectively). What's x?
36
200
Find the slope of line a.
4/2 or anything equivalent
200
What is the slope between (-1, 4) and (1, -2)?
-3
300
Dilations always produce Similar or Congruent figures.
similar
300
Congruent figures are _____ similar.
(sometimes, always)
always
300
Side lengths of triangle A are 10, 16, and 18. Side lengths of triangle B are 5, 8, and x (respectively). What's x?
9
300
Find the slope of line b
4/4 or anything equivalent
300
What is the slope between (-2, -4) and (-10, -20)?
-16/-8 = +2
400
Dilations need these two things.
1) Center Point of Dilation
2) Scale Factor
400
Similar figures are ____ congruent.
(sometimes, always)
sometimes
400
Similar or Not? Why?
Similar. Because corresponding angles are the same.
400
Find the slope of line c.
2/4 or anything equivalent.
400
3 points are on a line. (1, 3), (4, 9), and (5, x). What's the value of x?
11
500
How will dilating a figure with a scale factor of 1/2 change the side lengths of a figure?
It will make the figure 2 times smaller from the center of dilation.
500
Are these dilations of each other? Why or why not?
No. We need to scale every side length.
500
These two triangles are similar. Find BOTH of the missing side lengths.
s=12
t=15
500
Write an equation for this line.
500
3 points are on a line. (1, 3), (4, 9), and (3, x). What's the value of x?
7