Transformations for 9th Grade

Aiden and Ava are exploring shapes in math class! They notice that the red shape is symmetrical with respect to line d, and they want to see how translations can help close the gap in the blue region.

I. Symmetry, 2 units right and 1 unit down translation

II. Symmetry, 1 unit right and 1 unit up translation

III. Symmetry, 3 units down translation

Which transformations should Aiden and Ava apply to fill that gap?

• YALNIZ 1

• YALNIZ 2

• 1 VE 3

• 2 VE 3

• 1,2 VE 3

Hey there, math wizards! Priya, David, and Henry are exploring the ABC triangle in the figure. They decided to rotate it 180 degrees counterclockwise around the origin. Can you help them figure out the sum of the corner coordinates of the new triangle?

• 12

• 13

• 15

• 16

• 18

A student who is doing printing work separates the rectangular paper in Figure 1 from the middle and writes the ADS logo on the left side with wet paint. When he folds the paper, the writing appears on both sides.

Accordingly, which of the following is the final image on the paper?

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Hey, math wizards! Anika, Rohan, and Arjun are on a quest to explore the symmetry of the red shape with respect to line d. Can you help them figure out which point remains outside the red region after the transformation?

• A

• B

• C

• D

• E

Henry and Nora are on a mission to create a rectangle with an area of 9 square units! They have rectangle ABCD and are teaming up with rectangle KLMN. To achieve their goal, they consider the following transformations:

I. 8 unit left translation

II. 8 unit left and 3 unit upward translation

III. Symmetry according to y-axis, 1 unit right translation

Which transformations should they apply to make their rectangle dreams come true?

• only I

• only II

• I and II

• II and III

• I,II and III

The following patterns are drawn on transparent paper in the shape of a rectangle ABCD. In the final state, which of the following patterns does the transparent paper not contain?

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Hey there, math wizards! Aria and Ethan are having a friendly competition to see who can spot the symmetry in this colorful puzzle. The blue shape is perfectly symmetrical with respect to line d, while the red shape is symmetrical with respect to line k. Can you help them figure out which point remains on both shapes in the final state? Let’s see if Mason can get it right!

• A

• B

• C

• D

• E

Hey there, math wizards! Evelyn and Noah are exploring the coordinate plane. They found a red figure that they decided to shift 3 units to the right and 4 units down. Can you help them figure out the area of the red region that ends up below the x-axis and to the left of the y-axis?

• 6

• 5

• 4

• 3

• 2

Hey there, geometry whiz! Imagine our friend David is exploring the world of triangles. He has triangle ABC, and he's curious about what happens when he applies some cool transformations:

I. Translation

II. Reflection about the y-axis

III. Rotation 180 degrees counterclockwise

Can you help David figure out which property of triangle ABC changes with these transformations?

• Area

• Perimeter

• Length of a side

• Coordinates of a corner

• An angle measure

In the final state, which of the following patterns is not found on the transparent paper?

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