Problem 1 Identifying an Isometry

Does the transformation below appear to be an isometry? Explain.

No, this transformation involves a change in size. The sides of the preimage square and the sides of its image are not congruent.

✓ Got It?

1. Does the transformation appear to be an isometry? Explain.
   1. 
   2. 

Problem 2 Naming Images and Corresponding Parts

In the diagram, E ′ F ′ G ′ H ′ e prime , f prime , g prime , h prime  is an image of EFGH.

1. What are the images of ∠ F angle f  and ∠ H ? angle h question mark

   ∠ F ′ angle , f prime  is the image of ∠ F . ∠ H ′ angle f . angle , h prime  is the image of ∠ H . angle h .

   Plan

   How do you identify corresponding points?

   You can use the statement E F G H → E ′ F ′ G ′ H ′ . e f g h rightwards arrow , e prime , f prime , g prime , h prime , .  Corresponding points have the same position in the names of the preimage and image.

2. What are the pairs of corresponding sides?

   E F ¯  and  E ′ F ′ ¯ F G ¯  and  F ′ G ′ ¯ E H ¯  and  E ′ H ′ ¯ G H ¯  and  G ′ H ′ ¯ table with 2 rows and 2 columns , row1 column 1 , e f bar . and . e prime , f prime bar , column 2 f g bar . and . f prime , g prime bar , row2 column 1 , e h bar . and . e prime , h prime bar , column 2 g h bar . and . g prime , h prime bar , end table

✓ Got It?

2. In the diagram, Δ N I D → Δ S U P . cap delta n i d rightwards arrow cap delta s u p .

   

   1. What are the images of ∠ I angle i  and point D?
   2. What are the pairs of corresponding sides?