Use the questions below to review for your lesson quiz. If you miss any of the questions, make sure to revisit those concepts in the lesson content before taking your quiz.
What type of transformation is shown between the top triangle to the bottom triangle?
- Reflection and Translation
- Translation and Dilation
- Dilation and Reflection
- Rotation and Translation
The top triangle's size has been changed which is a dilation and has been flipped vertically which is a reflection.
The top triangle's size has been changed which is a dilation and has been flipped vertically which is a reflection.
The top triangle's size has been changed which is a dilation and has been flipped vertically which is a reflection.
The top triangle's size has been changed which is a dilation and has been flipped vertically which is a reflection.
The point (4, -7) is the top of a triangle. Which point would it map to if the triangle were translated 3 units left and then reflected about the y-axis?
- (-4, 7)
- (-7, -1)
- (-1,-7)
- (5, -4)
In a translation, moving left 3 units means to decrease the x-coordinate. So the point maps to (1,-7). A reflection about the y-axis is a horizontal reflection so this means that the x-coordinate is the opposite which is the point (-1, -7).
In a translation, moving left 3 units means to decrease the x-coordinate. So the point maps to (1,-7). A reflection about the y-axis is a horizontal reflection so this means that the x-coordinate is the opposite which is the point (-1, -7).
In a translation, moving left 3 units means to decrease the x-coordinate. So the point maps to (1,-7). A reflection about the y-axis is a horizontal reflection so this means that the x-coordinate is the opposite which is the point (-1, -7).
In a translation, moving left 3 units means to decrease the x-coordinate. So the point maps to (1,-7). A reflection about the y-axis is a horizontal reflection so this means that the x-coordinate is the opposite which is the point (-1, -7).
What type of transformations are shown below?
- translation and rotation
- vertical reflection and translation
- 360 degree rotation and dilation
- horizontal reflection and translation
A horizontal reflection produces a mirror image of ABC, over the line of reflection, m. Then the image is translated down.
A horizontal reflection produces a mirror image of ABC, over the line of reflection, m. Then the image is translated down.
A horizontal reflection produces a mirror image of ABC, over the line of reflection, m. Then the image is translated down.
A horizontal reflection produces a mirror image of ABC, over the line of reflection, m. Then the image is translated down.
If a preimage is (0,0), (4,0), (0,4), what happens to the points if the preimage are reflected over the x-axis and then translated 3 units right?
- (x,y) → (x+3, -y)
- (x,y) → (-x, y-3)
- (x,y) → (x-3, -y)
- (x,y) → (-x, y+3)
For a point (x, y), a reflection over the x-axis would be a vertical reflection which means to use opposite y-coordinates. A translation 3 units right would mean to add 3 to the x-coordinate.
For a point (x, y), a reflection over the x-axis would be a vertical reflection which means to use opposite y-coordinates. A translation 3 units right would mean to add 3 to the x-coordinate.
For a point (x, y), a reflection over the x-axis would be a vertical reflection which means to use opposite y-coordinates. A translation 3 units right would mean to add 3 to the x-coordinate.
For a point (x, y), a reflection over the x-axis would be a vertical reflection which means to use opposite y-coordinates. A translation 3 units right would mean to add 3 to the x-coordinate.
Why is the image below NOT an example of a glide reflection?
- It is missing a translation.
- It only has a horizontal reflection.
- It is only translated down.
- It is missing a rotation.
A glide reflection is one that has a reflection and a translation.
A glide reflection is one that has a reflection and a translation.
A glide reflection is one that has a reflection and a translation.
A glide reflection is one that has a reflection and a translation.
How has polygon ABCD been transformed to A'B'C'D' in the graph below?
- rotated 360 degrees, translated 2 units right
- rotated 180 degrees, translated 2 units right
- reflected over y-axis, translated 2 units right
- reflected over x-axis, translated 2 units left
ABCD has been reflected over the y-axis as a mirror image and translated 2 units to the right to form A'B'C'D'.
ABCD has been reflected over the y-axis as a mirror image and translated 2 units to the right to form A'B'C'D'.
ABCD has been reflected over the y-axis as a mirror image and translated 2 units to the right to form A'B'C'D'.
ABCD has been reflected over the y-axis as a mirror image and translated 2 units to the right to form A'B'C'D'.
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