Geometry, NAPX-p110293v02

Question

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Worked Solution

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Variant 0

DifficultyLevel

623

Question

A quadrilateral FGHI is moved to a new position labelled LMJK.

Which of these processes resulted in the new position of the quadrilateral?

Worked Solution

Reflection in the xx-axis

FGHI→F′G′H′I′FGHI → F\prime G\prime H\prime I\prime

Translate the triangle 9 units to the left

F′G′H′I′→KJMLF\prime G\prime H\prime I\prime → KJML

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A quadrilateral FGHI is moved to a new position labelled LMJK. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_70.svg 340 indent vpad Which of these processes resulted in the new position of the quadrilateral?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_70-sol.svg 340 indent vpad Reflection in the $x$-axis $FGHI → F\prime G\prime H\prime I\prime$ Translate the triangle 9 units to the left $F\prime G\prime H\prime I\prime → KJML$
correctAnswer
Reflect quadrilateral FGHI in the $\large x$-axis and then translate 9 units to the left.

Answers

Is Correct?Answer
x

Rotate quadrilateral FGHI 180° counter-clockwise about the origin.

x

Reflect quadrilateral in the y\large y-axis and then translate 8 units downward.

x

Rotate quadrilateral FGHI 90° clockwise about the origin.

✓

Reflect quadrilateral FGHI in the x\large x-axis and then translate 9 units to the left.

Variant 1

DifficultyLevel

623

Question

The triangle ABC is moved to the new position labelled XYZ.

Which of these processes resulted in the new position of the triangle?

Worked Solution

Reflection in the yy-axis:

ABC→A′B′C′ABC → A\prime B\prime C\prime

Translate the triangle 5 units downward:

A′B′C′→XYZA\prime B\prime C\prime → XYZ

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The triangle ABC is moved to the new position labelled XYZ. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_69.svg 350 indent vpad Which of these processes resulted in the new position of the triangle?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_69-sol.svg 350 indent vpad Reflection in the $y$-axis: $ABC → A\prime B\prime C\prime$ Translate the triangle 5 units downward: $A\prime B\prime C\prime → XYZ$
correctAnswer
Reflect triangle ABC in the $\large y$-axis and then translate 5 units downward

Answers

Is Correct?Answer
x

Rotate triangle ABC 180° counter-clockwise about the origin.

✓

Reflect triangle ABC in the y\large y-axis and then translate 5 units downward

x

Reflect triangle ABC in the x\large x-axis and then translate 9 units to the right

x

Rotate triangle ABC 270° clockwise about the origin.

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