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Figures & Transformations
By: Ms. Williams
Congruent Figures
1. Name 2 corresponding sides and 2 corresponding angles of the figure.• y
Answer
• A I
• B T
• C R
• AB IT
• BC RT
• AC IR
Similar Figures
1. Write a proportion for the corresponding sides. Then solve for the missing length.
Answer
• =
• (5) = (5)
• =
• 10 =
Translations
1. Graph the image of ABC after a translation of 4 units down.
Answer
Symmetry
1. Draw all the lines of symmetry of the figure.
Answer
Reflection
1. Graph the image after a reflection over the y-axis.
Answer
Rotation
1. Graph the image after a rotation of 180 counterclockwise about the origin.
Answer
Rotational Symmetry
1. What is the angle of rotation of the figure below?
Answer
• 360 ÷ 5 = 72
Congruent Figures
1. Name 2 corresponding sides and 2 corresponding angles of the figure.
Answer
• J Q
• K S
• I R
• IJ QR
• JK QS
• IK RS
Similar Figures
• Write a proportion for the corresponding sides. Then solve for the missing length.
Answer
• =
• (4) = (4)
• =
• 2 =
• =
• (4) = (4)
• =
• 2 =
Translations
1. Graph the image after a translation of 3 units up and 3 units left.
Answer
Symmetry
• Draw all the lines of symmetry of the figure.
Answer
• There are no lines of symmetry.
Reflection
• Graph the image after a reflection over the line y = –2.
Answer
Rotation
• Graph the image after a rotation of 270 counterclockwise about the origin.
Answer
Rotational Symmetry
• What is the angle of rotation of the figure below?
Answer
• 360 ÷ 4 = 90