Rigid Transformations
Dilations
Series of Transformations
Slope
Congruence
100
Which of the following is not a rigid transformation?
A. Rotation
B. Reflection
C. Dilation
D. Translation
C. Dilation
100
Two shapes with the same angle measures but different side lengths are known to be?
Similar
100
What two transformations took place on the coordinate plane below?
Translation and Dilation
100
Slope is the...?
Steepness of a line
100
Polygon LMNOP is the image of ABCDE after a 180 degree rotation.
Which angle of Polygon LMNOP is congruent to C?
Angle N
200
What rigid transformation would allow Triangle 1 to match up with Triangle 2?
Reflection across the y-axis
200
What determines if a shape stretches or shrinks?
Scale Factor
200
Name the four components to describing a series of transformations?
1. Name of Original Image
2. Name of New Image
3. Name of Transformations
4. Details about Transformations
200
Which of the following are equivalent slopes to 3?
A. 1/3
B. 9/3
C. 3/1
D. 3/9
B 9/3 and C 3/1
200
When two shapes have the same angle measures and side lengths, they're known to be?
Congruent
300
The point M (-1,4) is rotated 180 degrees about the origin (0,0). What are the coordinates of the new point?
(1,-4)
300
Which of the following statements is NOT true?
A. Dilations create similar figures.
B. Dilations preserve angle measure.
C. Dilations may have a negative scale factor.
D. Dilations on a coordinate axis are always center at the origin.
D; it does not ALWAYS need to be centered at the origin
300
Describe the sequence of transformations that'll match Triangle BCD on top of Triangle B'C'D'.
Triangle BCD rotated 90 degrees CCW using point A as the center of rotation then translated one up up followed by a dilation with a scale factor of 1.5 using point D/D' as the center of dilation to create Triangle B'C'D'.
300
How do you calculate slope?
Vertical side divided by Horizontal side
300
A; the length is the same as the the length of line segment AB
400
Triangle ABC is shown at the right. Triangle A'B'C' is formed after a 90 degree counterclockwise rotation about the origin. Triangle A"B"C" is formed after Triangle A'B'C' is reflected across the x-axis. What are the signs of coordinates (x,y) A"?
A. Both x and y are positive
400
What's the difference between dilations and rigid transformations (translations, reflections, rotations)?
Dilations will make similar shapes because the new image would have either stretched or shrunk while Rigid Transformations produce congruent shapes.
400
What series of transformations will match Figure ABCD on top of Figure FGHJ?
Figure ABCD translated one unit to the right and one unit down then reflected across the x-axis followed by a dilation with a scale factor of 2 using point D/J as the center of dilation to create Figure FGHJ.
400
What is the slope of the following line?
2/1 or 2
400
Sah'mere noticed that each side length in ABCD is equal to each side length in GHIJ. Is this enough to claim that the figures are congruent? What else must be true for the figures to be congruent? Are the two figures congruent? Why or why not?
No, it is not enough. Not only do the sides lengths need to be the same, the angle measures also need to be the same. These shapes are not congruent because their angle measures are not the same.