I only
Transformations I and III are isometries because they preserve the lengths of the sides and the measures of the angles in the given shapes. Transformation II does not preserve the lengths of the sides and angles in the shapes, so it is not an isometry.
Which of these transformations are isometries? The diagrams are not drawn to scale.
(I) parallelogram EFGH right pointing arrow parallelogram XWVU
Parallelograms E F G H and U V W X are shown. The parallelogram on the left slants right. The parallelogram on the right appears similar but slants left.• Side C D is labeled 7.
• Side D E is labeled 8.
• Side E F is labeled 16.
• Side F G is labeled 19.
• Side G H is labeled 16.
• Side E H is labeled 19.
• Angle E measures 43 degrees.
• Side U V is labeled 16.
• Side V W is labeled 19.
• Side W X is labeled 16.
• Side U Y is labeled 19.
• Angle X measures 43 degrees.
(II) hexagon CDEFGH right pointing arrow hexagon YXWVUT
Irregular hexagons C D E F G H and T U V W X Y Z are shown.• Side C D is labeled 7.
• Side D E is labeled 8.
• Side E F is labeled 19.
• Side F G is labeled 8.
• Side G H is labeled 10.
• Side H C is labeled 19.
• Angle D measures 130 degrees.
• Angle G measures 102 degrees.
• Side T U is labeled 10.
• Side U V is labeled 8.
• Side V W is labeled 19.
• Side W X is labeled 8.
• Side X Y is labeled 7.
• Side T Y is labeled 19.
• Angle U measures 102 degrees.
• Angle X measures 130 degrees.
(III) triangle EFG right pointing arrow triangle VWU
Triangles E F G and U V W are shown.• Side E F is labeled 16.
• Side F G is labeled 19.
• Side E G is labeled 18.
• Angle F measures 50 degrees.
• Side U V is labeled 18.
• Side V W is labeled 16.
• Side U W is labeled 19.
• Angle W measures 50 degrees.
(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
1 answer