Transformations and Theorems
Dilations 1
Dilations 2
Similarity
Random
100
To "flip" a figure over a line
Reflection
100
True or False? Dilations always make a figure smaller.
False
100
Is a dilation of 7/5 an enlargement or reduction?
Enlargement (Gets bigger)
100
Give the dimensions of another rectangle that is similar to these two rectangles.
100
What day is our Math Final?
June 16th
200
To "slide" a figure.
Translation
200
A dilation might change the size of a figure's side lengths but never the _______.
angles or shape
200
What transformations do not change the size of a shape?
List them all!
1) Translations
2) Rotations
3) Reflections
4) Dilations
200
Point A has the coordinates (4, -3). What is the scale factor used if the new coordinates are (12, - 9)?
Scale factor = 3
200
How many sisters does Mr. Lyons have?
3
300
To "turn" a figure clockwise or counter clockwise
Rotation
300
Dilations always produce ___________ figures.
similar
300
If the scale factor is greater than 1 (ex:2) then the dilated image is ______________ from the original figure.
Enlarged
300
Congruent figures are _____ similar.
(sometimes, always)
always
300
Similar or not similar?
Not similar - angles are not the same.
400
What theorem states that a line made by connecting midpoints of two sides of a triangle is parallel and 1/2 the length of the third side.
Midsegment Theorem
400
Describe the line A'B' if the line AB is dilated by a scale factor of 2 and the center of dilation is B.
A'B' is collinear to AB and twice the length
400
If the scale factor is less than 1 (ex:1/4) then the dilated image is ____________ from the original figure.
Reduced
400
Similar figures are ____ congruent.
(sometimes, always)
sometimes
400
Mr. Lyons has lived in two states. What are they?
CO and MNY
500
If a line is parallel to one side of a triangle it divides the sides into proportional pieces.
Triangle Proportionality Theorem
500
Describe the line A'B' if the line AB is dilated by a scale factor of 1/2 and the center of dilation is point C (which is not on the line AB)
Makes a parallel line to AB that is half the length of AB.
500
Dilations don't change the size of an object if the scale is this number.
1
500
These two triangles are similar. Find the missing side lengths.
s=12
t=15
500
What year was Mr. Lyons born?
2000