Worksheet: Reflections of Shapes

In this worksheet, we will practice applying the reflection of a point or a polygon across a line in the first quadrant and across an axis of symmetry in a symmetric polygon.

Q1:

Find the reflection of the point 𝐴 in the line 𝐿.

  • A ( 2 , 6 )
  • B ( 2 , 1 2 )
  • C ( 5 , 6 )
  • D ( 8 , 1 2 )

Q2:

Which of the following does not show a reflection?

  • A
  • B
  • C
  • D
  • E

Q3:

List the images of the vertices of the triangle shown, after reflection in the dashed line.

  • A ( 1 0 , 8 ) , ( 5 , 1 1 ) , ( 2 , 8 )
  • B ( 1 0 , 1 3 ) , ( 5 , 1 0 ) , ( 2 , 1 3 )
  • C ( 4 , 1 ) , ( 9 , 4 ) , ( 1 2 , 1 )
  • D ( 1 0 , 6 ) , ( 5 , 3 ) , ( 2 , 6 )
  • E ( 1 0 , 1 5 ) , ( 5 , 1 8 ) , ( 2 , 1 5 )

Q4:

List the images of the vertices of the quadrilateral shown, after reflection in the dashed line.

  • A ( 6 , 4 ) , ( 1 0 , 2 ) , ( 1 0 , 1 0 ) , ( 7 , 1 0 )
  • B ( 1 2 , 4 ) , ( 1 6 , 2 ) , ( 1 6 , 1 0 ) , ( 1 3 , 1 0 )
  • C ( 0 , 8 ) , ( 4 , 1 0 ) , ( 4 , 2 ) , ( 1 , 2 )
  • D ( 6 , 4 ) , ( 2 , 2 ) , ( 2 , 1 0 ) , ( 5 , 1 0 )
  • E ( 1 2 , 4 ) , ( 8 , 2 ) , ( 8 , 1 0 ) , ( 1 1 , 1 0 )

Q5:

What is the image of 𝐹𝐷𝐿 under reflection in 𝐸𝐹?

  • A 𝐹 𝐶 𝐿
  • B 𝐺 𝐷 𝐿
  • C 𝐻 𝐵 𝐿
  • D 𝐸 𝐴 𝐿

Q6:

What is the image of 𝐴𝐶 under reflection in line 𝐴𝐸?

  • A 𝐶 𝐷
  • B 𝐴 𝐵
  • C 𝐵 𝐶

Q7:

In which line must 𝐶𝐴 be reflected to get 𝐵𝐴?

  • A 𝐵 𝐹
  • B 𝐴 𝐸
  • C 𝐶 𝐷

Q8:

In the figure shown, 𝐴𝐷𝐸 is the image of 𝐴𝐹𝐸 after reflection in which line?

  • A 𝐵 𝐹
  • B 𝐶 𝐷
  • C 𝐴 𝐸

Q9:

Benjamin is drawing a reflection of a figure. A vertex of the original figure is at (6,5), and the reflection of that vertex is at (16,5). What is the distance between each vertex and the line of reflection?

Q10:

Across which line has 𝐵𝐷𝐹 been reflected to get 𝐶𝐷𝐹?

  • A 𝐷 𝐹
  • B 𝐶 𝐷
  • C 𝐹 𝐵

Q11:

Across which line has 𝐵𝐸𝐹 been reflected to get 𝐵𝐷𝐹?

  • A 𝐵 𝐹
  • B 𝐹 𝐸
  • C 𝐷 𝐹

Q12:

Which triangle is the image of 𝐴𝐶𝐷 after a reflection in 𝐵𝐷?

  • A 𝐸 𝐵 𝐷
  • B 𝐸 𝐶 𝐷
  • C 𝐸 𝐵 𝐶

Q13:

In which line must 𝐹𝐷𝐿 be reflected to map it onto 𝐹𝐶𝐿?

  • A 𝐸 𝐹
  • B 𝐴 𝐶
  • C 𝐵 𝐷
  • D 𝐺 𝐻

Q14:

What are the images of points 𝐴 and 𝐶 after a reflection in 𝐿?

  • A 𝐴 and 𝐵
  • B 𝐷 and 𝐵
  • C 𝐷 and 𝐶
  • D 𝐴 and 𝐶

Q15:

What is the image of the points 𝐴 and 𝐶 after a reflection in the line 𝐿?

  • A 𝐴 𝐴 , 𝐶 𝐶
  • B 𝐴 𝐴 , 𝐶 𝐵
  • C 𝐴 𝐵 , 𝐶 𝐶

Q16:

Find the reflection of the point 𝐴 in the line 𝐿.

  • A ( 0 , 3 )
  • B ( 0 , 6 )
  • C ( 5 , 3 )
  • D ( 1 0 , 6 )

Q17:

What is the image of 𝐻𝐶𝐿 under reflection in 𝐺𝐻?

  • A 𝐻 𝐵 𝐿
  • B 𝐸 𝐴 𝐿
  • C 𝐹 𝐶 𝐿
  • D 𝐺 𝐷 𝐿

Q18:

What is the image of 𝑀𝐴 under reflection in line 𝐵𝐹?

  • A 𝑀 𝐶
  • B 𝑀 𝐵
  • C 𝑀 𝐴

Q19:

In which line must 𝐸𝐵 be reflected to get 𝐸𝐶?

  • A 𝐵 𝐹
  • B 𝐴 𝐸
  • C 𝐶 𝐷

Q20:

What are the images of points 𝐴 and 𝐶 after a reflection in 𝐿?

  • A 𝐴 and 𝐵
  • B 𝐵 and 𝐶
  • C 𝐴 and 𝐶

Q21:

Which triangle is the image of 𝐴𝐵𝐶 after a reflection in 𝐵𝐷?

  • A 𝐸 𝐷 𝐶
  • B 𝐸 𝐵 𝐷
  • C 𝐸 𝐵 𝐶

Q22:

Which triangle is the image of 𝐵𝐷𝐸 after a reflection in 𝐵𝐷?

  • A 𝐷 𝐶 𝐴
  • B 𝐵 𝐶 𝐴
  • C 𝐵 𝐷 𝐴

Q23:

𝐵 𝐷 𝐹 is the image of 𝐶𝐷𝐹 by reflection across .

  • A 𝐹 𝐵
  • B 𝐹 𝐶
  • C 𝐹 𝐷
  • D 𝐹 𝐵

Q24:

𝐴 𝐵 𝐹 is the image of 𝐶𝐵𝐹 by reflection across .

  • A 𝐴 𝐵
  • B 𝐹 𝐷
  • C 𝐹 𝐸
  • D 𝐹 𝐵

Q25:

Which triangle is the image of 𝐸𝐶𝐵 after a reflection in 𝐵𝐷?

  • A 𝐴 𝐶 𝐷
  • B 𝐴 𝐶 𝐵
  • C 𝐴 𝐵 𝐷

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