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 𝐴𝐵 after a reflection in 𝐿?

  • A
  • B
  • C
  • D

Q4:

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

  • A
  • B
  • C
  • D
  • E

Q5:

The following figure shows rectangle 𝐴𝐵𝐶𝐷 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 𝐴𝐵𝐶 after a reflection in 𝑀?

  • A
  • B
  • C
  • D

Q7:

In the following figure, 𝐴𝐵𝐶 is the image of 𝐴𝐵𝐶 by a reflection in 𝐿.

Fill in the blanks: The length of 𝐴𝐶=cm, and the length of 𝐴𝐵=cm.

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

Fill in the blanks: 𝐴𝐴 is to 𝐵𝐵, and 𝐶𝐶 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 𝐵, draw an image of circle 𝑀 after a reflection in 𝐿.

Which of the following statements is correct?

  • A𝐴𝐵>𝐴𝐵
  • B𝐴𝑀𝐴𝑀
  • C𝐵𝑀𝐵𝑀
  • D𝑀𝑀𝐴𝐵
  • E𝑀𝑀=𝐴𝐵

Q10:

Draw triangle 𝐴𝐵𝐶 in which 𝐴𝐵=6cm, 𝐵𝐶=8cm, and 𝐴𝐶=5cm, then draw its image after a reflection in its longest side.

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

  • A𝐴𝐵𝐶
  • B𝐴𝐶𝐵
  • C𝐵𝐴𝐶
  • D𝐴𝐶𝐴
  • E𝐴𝐵𝐴

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

  • A𝐵𝐶𝐴𝐴
  • B𝐴𝐴=𝐶𝐶
  • C𝐵𝐵𝐴𝐶
  • D𝐴𝐶𝐵𝐴
  • E𝐴𝐴𝐵𝐶

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