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Worksheet: Reflection in the First Quadrant

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

Q2:

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

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

Q3:

What is the image of 𝐴 ( 9 , βˆ’ 1 0 ) after reflection in the origin, followed by a reflection in the π‘₯ -axis?

  • A 𝐴 β€² ( 9 , 1 0 )
  • B 𝐴 β€² ( 9 , βˆ’ 1 0 )
  • C 𝐴 β€² ( βˆ’ 9 , 1 0 )
  • D 𝐴 β€² ( βˆ’ 9 , βˆ’ 1 0 )

Q4:

In which line must β–³ 𝐹 𝐷 𝐿 be reflected to map it onto β–³ 𝐹 𝐢 𝐿 ?

  • A βƒ–     βƒ— 𝐡 𝐷
  • B βƒ–     βƒ— 𝐴 𝐢
  • C βƒ–      βƒ— 𝐺 𝐻
  • D βƒ–     βƒ— 𝐸 𝐹

Q5:

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

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

Q6:

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

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

Q7:

What is the image of β–³ 𝐹 𝐷 𝐿 under reflection in βƒ–     βƒ— 𝐸 𝐹 ?

  • A β–³ 𝐻 𝐡 𝐿
  • B β–³ 𝐸 𝐴 𝐿
  • C β–³ 𝐺 𝐷 𝐿
  • D β–³ 𝐹 𝐢 𝐿

Q8:

What is the image of β–³ 𝐡 𝐸 𝐿 under reflection in βƒ–      βƒ— 𝐺 𝐻 ?

  • A β–³ 𝐷 𝐺 𝐿
  • B β–³ 𝐴 𝐸 𝐿
  • C β–³ 𝐡 𝐻 𝐿
  • D β–³ 𝐢 𝐹 𝐿

Q9:

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

  • A 𝐷 and 𝐡
  • B 𝐴 and 𝐡
  • C 𝐷 and 𝐢
  • D 𝐴 and 𝐢

Q10:

Which triangle is the image of β–³ 𝐴 𝐢 𝐷 after a reflection in βƒ–     βƒ— 𝐡 𝐷 ?

  • A β–³ 𝐸 𝐡 𝐷
  • B β–³ 𝐸 𝐡 𝐢
  • C β–³ 𝐸 𝐢 𝐷

Q11:

Which of the following does not show a reflection?

  • A
  • B
  • C
  • D
  • E

Q12:

What is the image of 𝐴 𝐢 under reflection in line βƒ–     βƒ— 𝐴 𝐸 ?

  • A 𝐢 𝐷
  • B 𝐡 𝐢
  • C 𝐴 𝐡

Q13:

What is the image of 𝑀 𝐴 under reflection in line βƒ–     βƒ— 𝐡 𝐹 ?

  • A 𝑀 𝐡
  • B 𝑀 𝐴
  • C 𝑀 𝐢

Q14:

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

  • A 𝐴 β†’ 𝐡 , 𝐢 β†’ 𝐢
  • B 𝐴 β†’ 𝐴 , 𝐢 β†’ 𝐡
  • C 𝐴 β†’ 𝐴 , 𝐢 β†’ 𝐢

Q15:

Across which line has β–³ 𝐡 𝐷 𝐹 been reflected to get β–³ 𝐢 𝐷 𝐹 ?

  • A βƒ–     βƒ— 𝐢 𝐷
  • B βƒ–     βƒ— 𝐹 𝐡
  • C βƒ–     βƒ— 𝐷 𝐹

Q16:

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 ( 1 6 , 5 ) . What is the distance between each vertex and the line of symmetry?

Q17:

In the figure shown, β–³ 𝐴 𝐷 𝐸 is the image of β–³ 𝐴 𝐹 𝐸 after reflection in which line?

  • A βƒ–     βƒ— 𝐡 𝐹
  • B βƒ–     βƒ— 𝐢 𝐷
  • C βƒ–     βƒ— 𝐴 𝐸

Q18:

Across which line has β–³ 𝐡 𝐸 𝐹 been reflected to get β–³ 𝐡 𝐷 𝐹 ?

  • A βƒ–     βƒ— 𝐷 𝐹
  • B βƒ–     βƒ— 𝐹 𝐸
  • C βƒ–     βƒ— 𝐡 𝐹

Q19:

In which line must 𝐢 𝐴 be reflected to get 𝐡 𝐴 ?

  • A βƒ–     βƒ— 𝐡 𝐹
  • B βƒ–     βƒ— 𝐢 𝐷
  • C βƒ–     βƒ— 𝐴 𝐸

Q20:

In which line must 𝐸 𝐡 be reflected to get 𝐸 𝐢 ?

  • A βƒ–     βƒ— 𝐡 𝐹
  • B βƒ–     βƒ— 𝐢 𝐷
  • C βƒ–     βƒ— 𝐴 𝐸

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