Question

Which transformations would result in a geometric figure that is exactly the same size and shape as DEF? Check all that apply.

A. Reflect DEF across the line x = 1.
B. Translate DEF two units to the left.
C. Rotate DEF 90 clockwise about the point (1, 2).
D. Dilate DEF by a factor of 1.5.

Answer 1

Answer:

You reflect it, Translated and Rotate it

Step-by-step explanation:

All you do is look at the graph and if you know what each means then you got your answer.

Answer 2

Transformation involves changing the position and size of a shape.

The transformations that would result in a geometric figure that is exactly the same size and shape as DEF are:

• Reflect DEF across the line x = 1.
• Translate DEF two units to the left.
• Rotate DEF 90 clockwise about the point (1, 2).

For DEF to maintain the same size and shape, the transformation must be a rigid transformation.

This is so because, rigid transformation does not alter the size and appearance of a shape.

Rigid transformations are:

• Translation
• Rotation
• Reflection

Hence, the required transformations are (a), (b) and (c), because they all represent rigid transformations.

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