Rigid Transformations
Dilations
Congruence and Similarity
Stuff we totally didn't forget from last year...
More Mental Math
100
These are the three basic types of rigid transformations.
What are translation, reflection, and rotation?
100
Specifying a dilation requires these two pieces of information.
What are a scale factor and a center of dilation?
100
This is the definition of congruent.
What is "the same"?
100
Two angles that sum to 90 degrees are called this.
What are complementary angles?
100
150/3
What is 50?
200
This type of rigid transformation is shown in the picture below:
What is a rotation?
200
In the picture below, the triangle has this scale factor and center of dilation.
What are 3 and (3,0)?
200
Unlike two congruent shapes, two similar shapes may be related by this non-rigid transformation.
What is a dilation?
200
This is the result when -9 is subtracted from -3.
What is 6?
200
-8 + 4 =
What is -4?
300
This point is the image when the point (-3,5) is reflected across the x-axis.
What is (3,5)?
300
A dilation with a scale factor smaller than this number will cause a figure to shrink.
What is 1?
300
If Figures A and B are similar with scale factor 2, and the largest angle in Figure A is 78 degrees, then this is the largest angle in Figure B.
What is 78 degrees?
300
If 3 pounds of candy costs $13.50, then you could buy this much candy for $36.
What is 8 pounds of candy?
300
436 + 64
What is 500?
400
This SPECIFIC rigid transformation takes the point (1,3) to the point (10,-5) AND takes the point (-2,0) to the point (7,-8).
What is a translation 9 units right and 8 units down?
400
This is the image of the point (2,4) after a dilation with scale factor 1/2 and center of dilation (0,0).
What is (1,2)?
400
This theorem could be used to prove that angles DCB and ABC below are congruent.
What is the Alternate Interior Angle Theorem?
400
3/4 + 1/3 =
What is 13/12 or 1 1/12?
400
288 - 89
What is 199?
500
This is the number of degrees and direction that a shape must be rotated around (0,0) so that point (10,-6) on the shape goes to corresponding point (6,10).
What is 90 degrees counterclockwise?
500
These are the x and y coordinates of D', the corresponding point of D after a dilation with scale factor 4 and center of dilation (-3,0).
What are x=-7 and y=4? (Or what is (-7,4)?)
500
Triangle T has a 75 degree angle. Triangle U has a 15 degree angle. If T and U are similar, then they must both be this type of triangle (acute, right, or obtuse).
What is a right triangle?
500
What is the volume of the following?
What is 144 cubic units?
500
4684/2
What is 2342?