Reflections
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Jeffrey Poston
FREE Resource
9 Slides • 7 Questions
1
2
Multiple Choice
Which of the following statements best describes the reflection of a point not lying on the line of reflection?
The point remains unchanged.
The line is the perpendicular bisector of the segment joining the point and its image.
The point moves parallel to the line.
The image and preimage are the same point.
3
4
5
Multiple Choice
Which of the following statements best describes what happens when a polygon is reflected?
Each vertex of the polygon is mapped to a new location across the line of reflection, forming a congruent image.
The polygon is rotated around a fixed point.
The polygon is resized to form a similar image.
The polygon is translated to a new position without changing orientation.
6
7
Fill in the Blanks
How can you use a ruler to check your work when reflecting a shape?
Type answer...
8
9
10
Multiple Select
Which of the following are correct coordinate rules for reflection?
Reflection over x-axis: (x, y) → (x, -y)
Reflection over y-axis: (x, y) → (-x, y)
Reflection over y = x: (x, y) → (y, x)
Reflection over y = -x: (x, y) → (-y, -x)
11
12
Multiple Choice
After reflecting the triangle with vertices A(-2,1), B(1,4), and C(3,2) over the x-axis, what are the coordinates of the image of vertex B?
(1, -4)
(-1, 4)
(1, 4)
(-1, -4)
13
14
Fill in the Blanks
When reflecting a polygon over the y-axis, what happens to the x-coordinates of its vertices?
Type answer...
15
16
Multiple Choice
When a point (a, b) is reflected over the line y = x, what will be the coordinates of its image?
(b, a)
(-a, b)
(a, -b)
(-b, -a)
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