The correct answer is:
I and III only
Which of these transformations are isometries? The diagrams are not drawn to scale.
(I) parallelogram EFGH → parallelogram XWVU
The figure shows parallelograms E F G H and X W V U. Segment E F equals 5. Segment F G equals 10. angle E measures 43 degrees. Segment X W equals 5. Segment W V equals 10. angle X measures 43 degrees.
(II) hexagon CDEFGH → hexagon TUVWXY
The figure shows hexagon C D E F G H and hexagon T U V W X Y.
Segment C D equals 6. Segment D E equals 8. Segment E F equals 18. Segment F G equals 8. Segment G H equals 10. Segment H C equals 18. Angle D measures 130 degrees. Angle G measure 102 degrees.
Segment T U equals 3. Segment U V equals 4. Segment V W equals 9. Segment W X equals 4. Segment X Y equals 5. Segment Y T equals 9. Angle U measures 130 degrees. Angle X measure 102 degrees.
(III) triangle EFG → triangle VWU
Two triangles are shown.• Triangle upper E upper F upper G is shown with vertex upper F at the top. Side upper E upper F is labeled 16. Side upper F upper G is labeled 19. Side upper G upper E is labeled 18. Angle upper F is labeled 50 degree sign.
• Triangle upper W upper V upper U is shown with vertex upper W at the bottom. Side upper V upper W is labeled 16. Side upper U upper W is labeled 19. Side upper V upper U is labeled 18. Angle upper W is labeled 50 degree sign.
(1 point)
Responses
I only
I only
II and III only
II and III only
I and III only
I and III only
I, II, and III
I, II, and III
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