Sequences of Transformations
Congruent by Rigid Motions
Corresp. Parts are Congruent
Mixed Bag
Bonus
100
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
What is translation?
100
Of the four types of transformations, this one is considered NOT rigid motion?
What is a dilation?
100
Figure FGHJ is congruent to figure MNOP. Therefore Angle H is congruent to _____.
What is O?
100
This is the coordinate notation for a counterclockwise rotation of 90 degrees.
What is (x, y) --> (-y, x)
100
The same shape and same size.
What are congruent figures?
200
Describe the given sequence of transformations in words:
(x, y) --> (x + 2, y) --> (x, -y)
What is a translation right two units, then a reflection over the x-axis?
200
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.
What is A'(4, -1)?
200
List all of the pairs of congruent angles for two congruent triangles ABC and DEF.
Angle A is congruent to Angle D
Angle B is congruent to Angle E
Angle C is congruent to Angle F
200
Find the angle in triangle DFE that is congruent to angle A when triangle ABC is congruent to triangle DFE.
What is angle D?
200
The same shape but not necessarily the same size.
What is similar figures?
300
Provide the values of A'', B'', and C'' after the sequence of transformations, given A(0, 0), B(0, 4), C(2, 2).
(x, y) --> (-x, -y) --> (x + 2, y - 2)
What is A''(2, -2), B''(2, -6), C''(0, -4)?
300
In the figure, triangle ABC is congruent to triangle DEF. Find the rigid motions needed to map ABC to DEF.
(x, y) --> (____, _____) --> (______, ______)
What is (x, y) --> (-y, x) --> (x - 2, y+ 2)
300
List all of the pairs of congruent sides for two congruent triangles ABC and DEF.
AB is congruent to DE
BC is congruent to EF
CA is congruent to FD
300
Find the side in triangle DFE that is congruent to side BC when triangle ABC is congruent to triangle DFE.
What is side FE?
300
Yields a larger or smaller object after this transformation?
What is a Dilation?
400
Write the coordinate notation for the given sequence of transformations. Shifted up 4, left 6 and then rotated 90 degrees clockwise.
What (x, y) --> (x - 6, y + 4) --> (y, -x)
400
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
400
Triangle DEF is congruent to triangle GHJ. Find the measure of DF.
What is 42?
400
Write the vertices of the image of the figure given by A(2, 1), B(3,3), C(2, 4) after the transformations (x, y) --> (x + 1, y + 2) --> (3x, y)
A''(9, 3), B''(12, 5), C''(9, 6)
400
A figure that did not change after a dilation.
What is a figure dilated by 1?
500
Predict the result of applying the given sequence of transformations to the given figure (In which quadrant will the figure lie?).
A(1, 0), B(1, 4), C(5, 2)
(x, y) --> (x - 1, y - 4) --> (-x, y)
What is Quadrant III?
500
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is (x, y)-->(x, y-4)?
500
DEFG is congruent to KLMN find the given side length: FG.
What is 35 in.?
500
Determine whether a triangle ABC is congruent to its image after the transformations (x, y) --> (x + 1, y + 2) --> (2x, y). Explain why.
No, because the transformation (2x, y) is not rigid motion.
500
Transformations that lead to congruent images
What is a translation, rotation and reflection?