Dilations
Similarity
Slope
Triangles
Dilation Challenge
100
True or False? Dilations always make a figure smaller.
False
100
These two things must be true about similar figures
1) corresponding sides are proportional
2) corresponding angles are equal
100
Slope is ______ over _____.
rise over run
or
Vertical distance (Y) over Horizontal distance (X)
100
The sum of all interior angles, a triangle will always equal this number.
180^o?
100
True/False
Dilations increase the measure of angles.
False
200
A dilation might change the size of a figure's side lengths but never the _______.
angles
200
Any one or more of these moves can be used to prove similarity. (list at least two moves)
What are
1) Translations
2) Rotations
3) Reflections
4) Dilations
200
If a triangle has a horizontal distance of 5 and a vertical distance of 3, what is it's slope?
3/5
200
If two triangles have _____ of their angles equal, the triangles are similar.
two
200
True/False
Dilations ALWAYS increase the length of line segments or figures.
FALSE.
Explain why!
300
Dilations always produce ___________ figures.
similar
300
True/False
Triangle D has 90 degree, 30 degree, and 60 degree angles. Triangle E has all 60 degree angles. They are similar.
FALSE
Explain why!
300
The slope of this line.
2/3
300
What is the measure of the missing angle?
35^o?
300
You have two similar triangles. Triangle MNK has the following side lengths: MN = 2 units, NK = 5 units and MK = 3 units. Triangle MNK has been dilated to get Triangle M’N’K’. If you know that the length of M’N’ = 10 units, then the lengths of N’K’ and M’K’ are ______ and _______.
25 and 15
400
What two things do we need when describing dilations?
1) Center of Dilation
2) Scale Factor
400
True or false: Similar figures are always congruent.
False. Similar figures are sometimes congruent
400
If a triangle has a vertical distance of 2 and a horizontal distance of 4, what is the slope?
2/4
Double points: ½
400
The description for these two triangles.
similar
400
If a figure has coordinates S (-4, -2), T (-3, 1) and U (-2, -2), what would the new coordinates be if it was dilated by 3, with (0,0) being the center of dilation?
S’ (-12, -6), T’ (-9, 3), and U’ (-6, -6)?
500
How will dilating a figure with a scale factor of 1/3 change a figure?
it will make the figure 3 times smaller from the center of dilation (or reduced/smaller figure)
500
Dilations can result in a congruent and similar figure if their scale factor is this number.
1
500
The slope of a line is a number we can calculate using how many points on the line?
2
500
Knowing that these two triangles are similar, these are the missing side lengths.
s=12
t=15
500
If a figure has coordinates A (-6, -12), B (-4, 4) and C (-6, -10), what would be the new coordinates of C if the figure was dilated by 1/2?
(-3, -5)?