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Curriculum 2.0 Honors Geometry: Unit 1 – Topic 3, SLT 21 Name: Congruence Without Named Vertices Sample Answers Date: Period: 1) Describe two distinct rigid transformations that would map figure 1 onto figure 2. y 1 2 O x A reflection across the y-axis or a translation 5 units to the right. 2) Can you use the same two rigid transformations from #1 in order to map ABCD onto WXYZ? y A B X W O D C Y x Z A reflection across the y-axis will map ABCD onto WXYZ, but a translation 5 units to the right will not map the corresponding vertices onto each other. Page 1 of 2 Curriculum 2.0 Honors Geometry: Unit 1 – Topic 3, SLT 21 Name: Congruence Without Named Vertices Sample Answers Date: Period: 3) ABC is reflected over the x-axis, and then reflected over the y-axis to form the image whose sides are represented by x, y, and z. Identify the corresponding side lengths for the pre-image and image. y B C A O x x y z The side with length z corresponds to AB , the side with length x corresponds to AC , and the side with length y corresponds to BC . Page 2 of 2