Congruence and Transformations

Question 1

Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90 about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?

Revolt · Accepted Answer

above the x-axis

Question 2

Alexi transformed figure L such that its image is figure K after a 90 counterclockwise rotation about the origin and a reflection over the y-axis. Jonathan used figure L to perform the same transformation, but he reflected figure L over the y-axis before performing the 90 counterclockwise rotation. Which best compares Alexi’s and Jonathan’s transformed figures?

Revolt · Accepted Answer

The change in order will result in the transformed image of figure L having a different location.

Question 3

Triangle MNO is rotated 180 using the origin as the center of rotation. Which sequences of transformations will produce the same results? Check all that apply.

Revolt · Accepted Answer

a reflection over the x-axis and then a reflection over the y-axis; a reflection over the y-axis and then a reflection over the x-axis

Question 4

Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC.For which triangle is one reflection necessary for the transformation to occur?

Revolt · Accepted Answer

Triangle G H I

Question 5

Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180 about the origin, resulting in figure A. She states that . Which best describes the accuracy of her congruency statement?

Revolt · Accepted Answer

Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.

Question 6

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?

Revolt · Accepted Answer

A B and B C

Question 7

Mrs. Hamilton shows her students this graph and asks them to determine how figure A was transformed to figure B. .Marcus suggests that figure A was reflected over the y-axis and then translated 2 to the right and 1 up. Julianne agrees, and states that the transformations could happen in any order. Which best describes the accuracy of Julianne’s statement?

Revolt · Accepted Answer

Inaccurate. A translation of 2 to the right and 1 up and then a reflection over the y-axis results in a figure that is located in the second quadrant.

Question 8

Which sequence of transformations produces R’S’T’ from RST?

Revolt · Accepted Answer

a translation 2 units right and then a reflection over the x-axis

Question 9

Square ABCD is shown with four congruent images such that ABCD FGHI JKLM NOPQ RSTU. For which square is a reflection necessary to produce the transformed figure?

Revolt · Accepted Answer

RSTU

Question 10

Jason states that . Kelley states that . Which best describes the accuracy of the congruency statements?

Revolt · Accepted Answer

Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Congruence and Transformations Answers

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