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Use the triangle on the grid below to answer this question. ... Which rules represent a transformation that maps one shape onto to another to establish ...
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Geometry Standards Expressing Geometric Properties with Conditional Probability and the Rules of
Congruence
Item 1
What is the precise definition of an angle?
A. two rays that share a common endpoint
B. two line segments that share a common endpoint
C. the measure of an arc between two intersecting lines or line segments
D. one of the four intermediate spaces formed between two intersecting lines
Point A is located at (2, 1). The point is reflected over the line y = – x to obtain image point A'. What are
the coordinates of point A'?
Use the graph to answer the question.
Which set of coordinates describes the transformations that map triangle FGH to triangle F'G'H'?
A. ( x , y ) ( x – 6, – y )
B. ( x , y ) (– x , y – 2)
C. ( x , y ) ( x – 6, y – 2)
D. ( x , y ) ( x – 6, y – 8)
Use the triangle on the grid below to answer this question.
Triangle LMN is reflected across the x - axis. Then it is reflected across the y - axis. Finally, it is translated
according to the rule ( x + 7, y + 3). What are the final coordinates of point M'?
Kevin drew square WXYZ on this grid.
Kevin translated the square 3 units along the x- axis and - 1 unit along the y - axis. What are the new
coordinates of the square?
Point M’ is located at (2, – 1) and is the image when Point M is translated 3 units right and 2 units down
and then reflected over the line x = – 4. Where is Point M?
Congruence
Items 10 – 11
Use the graph to answer the question.
Which transformation carries the trapezoid onto itself?
A. reflect over the line x = – 3
B. reflect over the line y = – 3
C. reflect over the line x = 3
D. reflect over the line y = 3
Congruence
Items 12 – 14
Lucy draws a line on a coordinate plane.
Which transformation will always result in a line perpendicular to Lucy’s line?
A. reflect over the line y = x
B. rotate 270° clockwise around the origin
C. reflect over the x - axis, and then reflect over the y - axis
D. dilate by a factor of 2 with the origin as the center of dilation
ΔRST is reflected to create image ΔR’S’T’.
Which statement is always true?
$ 𝑆′
$ 𝑆′
Congruence
Items 15 – 23
Use the graph to answer the question.
Olivia reflects the triangle over the x - axis, then rotates it 90° clockwise around the origin.
Which graph shows the resulting triangle?
Jacob transformed quadrilateral FGHJ to F'G'H'J'.
Which transformation did Jacob use?
A. reflection across the x – axis
B. reflection across the y – axis
C. reflection across the line x = 1
D. reflection across the line y = 1
Jerome reflected this figure over the line y = 2.
Which graph shows the result?
Bella transformed triangle ABC to make triangle A'B'C'.
Which transformation did Bella use?
A. reflection over the x – axis
B. reflection over the y – axis
C. translation 2 units down
D. translation 4 units down