Lesson Worksheet: Reflections Mathematics • 11th Grade

In this worksheet, we will practice reflecting points and shapes in given reflection lines.

Q1:

Victoria reflected point 𝑃 and point 𝑄 across one of the dotted lines in the grid.

Complete the following: She reflected point 𝑃 across line and point 𝑄 across line .

  • A𝑀, 𝐿
  • B𝐿, 𝑀
  • C𝐿, 𝐿
  • D𝑀, 𝑀

Q2:

Five points are plotted on the grid in the figure below.

When reflecting point 𝑃 across the dotted line, which of the four other points will it map onto?

  • APoint 𝑆
  • BPoint 𝑅
  • CPoint 𝑇
  • DPoint 𝑄

Q3:

Which of the following represents the image of 𝐴𝐡 after a reflection in ⃖⃗𝐿?

  • A
  • B
  • C
  • D

Q4:

Which of the following represents the image of 𝐴𝐡 after a reflection in ⃖⃗𝑀?

  • A
  • B
  • C
  • D
  • E

Q5:

The following figure shows rectangle 𝐴𝐡𝐢𝐷 drawn on a grid.

Which of these could be the image of the rectangle after it has been reflected across a horizontal line?

  • A
  • B
  • C
  • D

Q6:

Which of the following represents the image of triangle 𝐴𝐡𝐢 after a reflection in ⃖⃗𝑀?

  • A
  • B
  • C
  • D

Q7:

In the following figure, △𝐴′𝐡′𝐢′ is the image of △𝐴𝐡𝐢 by a reflection in ⃖⃗𝐿.

Fill in the blanks: The length of 𝐴′𝐢′=cm, and the length of 𝐴′𝐡′=cm.

  • A6, 4
  • B4, 4
  • C6, 6
  • D4, 6

Fill in the blanks: 𝐴𝐴′ is to 𝐡𝐡′, and 𝐢𝐢′ is to ⃖⃗𝐿.

  • Aparallel, perpendicular
  • Bperpendicular, parallel
  • Cparallel, parallel
  • Dperpendicular, perpendicular

Find the measure of ∠𝐴.

Q8:

Below is an image of a trapezoid after it was reflected across the dotted line.

Which of these figures shows how the trapezoid appeared before the reflection?

  • A
  • B
  • C
  • D

Q9:

Given a circle with center 𝑀 that intersects with ⃖⃗𝐿 at points 𝐴 and 𝐡, draw an image of circle 𝑀 after a reflection in ⃖⃗𝐿.

Which of the following statements is correct?

  • A𝐴′𝐡′>𝐴𝐡
  • B𝐴𝑀βˆ₯𝐴𝑀′
  • C𝐡𝑀βˆ₯𝐡𝑀′
  • Dπ‘€π‘€β€²βŸ‚π΄π΅
  • E𝑀𝑀′=𝐴𝐡

Q10:

Draw triangle 𝐴𝐡𝐢 in which 𝐴𝐡=6cm, 𝐡𝐢=8cm, and 𝐴𝐢=5cm, then draw its image after a reflection in its longest side.

Fill in the blank: Angle 𝐴𝐡𝐢 is congruent to angle .

  • A𝐴′𝐡𝐢
  • B𝐴′𝐢𝐡
  • C𝐡𝐴𝐢′
  • D𝐴𝐢𝐴′
  • E𝐴′𝐡′𝐴

Which of the following is true about triangle 𝐴𝐡𝐢 and its image?

  • A𝐡𝐢′βˆ₯𝐴𝐴′
  • B𝐴𝐴′=𝐢𝐢′
  • Cπ΅π΅β€²βŸ‚π΄πΆ
  • D𝐴𝐢′βˆ₯𝐡′𝐴′
  • Eπ΄π΄β€²βŸ‚π΅πΆ

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