Translations
Rotations
Reflections
Dilations
Vocabulary
Congruencyvs Similarity
100
State the image of point A(1, 4) after a translation 4 units up and 5 units left? (Include the name of the translated point)
A'(-4, 8)
100
When the question asks you to rotate, but does not specify clockwise or counter-clockwise, which direction do we use by default?
Counter-clockwise
100
True or False: Reflections preserve congruency and orientation.
False - orientation is not preserved under a reflection.
100
True or False: A dilation does not produce a congruent image.
True - A dilation's image is not congruent to its pre-image because it does not preserve the size of the shape.
100
What do we call the shape we made with our transformation?
The Image.
100
The triangle on the left has acute angle measures of 30°,60°30°,60° and the triangle on the right has acute angle measures of 60°,30°60°,30°. Which relationship must be true for the triangles?
- They are congruent.
- They are similar.
- They are neither similar nor congruent.
Similar
200
Translate L(-3, -2) A(0, -1) D(3, -2) one unit right and three units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
200
True or False: Rotating a figure 90 degrees CCW is NOT the same as rotating a figure 270 degrees CW.
False - rotating a figure 90 degrees CCW IS the same as rotating a figure 270 degrees CW.
200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?
G'(200, 250)
200
What is the difference between the scale factors of an enlargement and a reduction of a shape?
Enlargement is a dilation with a scaling factor bigger than 1, Reduction is a dilation with a scaling factor between 0 and 1.
200
True of False: A square and a rectangle are congruent
False
300
Write the following translation using its algebraic representation:
A(-3, -4), B(-1, -5)
A'(3, -4), B'(5, -5)
(x,y) -> (x + 6, y)
300
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
300
What are the points of the new image D(-1, -4) E(2, -4) F (4, -5) after a reflection over the x-axis?
D'(-1, 4) E'(2, 4) F'(4, 5)
300
What is the scaling factor if point A(-2, 3) dilates to point A'(-1, 1.5)?
k = .5 or 1/2
300
What is the difference between the scale factors of an enlargement and a reduction of a shape?
Enlargement is a dilation with a scaling factor bigger than 1, Reduction is a dilation with a scaling factor between 0 and 1.
300
True or False Are 2 squares always similar?
True
400
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent this translation: (x,y) ->(x - 2, y + 3)
A(10, -10)
400
How many degrees was the figure rotated if the pre image was X(-4, 2) Y(-4, 0) Z(0, 3) and the image is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
400
What is the line of reflection if L(1, 4) M(1, 0) N (3, 0) became L'(-1, 4) M'(-1, 0) N'(-3, 0)?
Reflection over the y-axis.
400
Dilate the pre image with the scaling factor k = 1/3
A(9, -6) B(12, 3) C(0, -3)
A'(3, -2) B'(4, 1) C'(0, -1)
400
What does orientation mean?
The direction a shape is facing.
400
One triangles has two angles of 67, and 81 degrees. Another triangle has two angles of 81 and 32 degrees. Are the two triangles Congruent?
Yes
500
Figure 1 has side lengths of 2, 3 and 4.5. Another similar figure has has side lengths 7, 10.5, and 15.75. What is the scale factor?
k= 3.5