Question

question 10 of 39 which transformations would result in a geometric figure that is exactly the same size and shape as △def? check all that apply. a. dilate △def by a factor of 1.5. b. rotate △def 90° clockwise about the point (1,2). c. translate △def two units to the left. d. reflect △def across the line x = 1

Explanation:

Step1: Analyze dilation

Dilation by a factor other than \(1\) changes the size of the figure. So, option A is incorrect.

Step2: Analyze rotation

Rotation is a rigid transformation. It only changes the orientation of the figure, not its size and shape. So, option B is correct.

Step3: Analyze translation

Translation is a rigid transformation. It only changes the position of the figure, not its size and shape. So, option C is correct.

Step4: Analyze reflection

Reflection is a rigid transformation. It only changes the orientation (in terms of mirror - image) of the figure, not its size and shape. So, option D is correct.

Answer:

B. Rotate \( \triangle DEF\) \(90^{\circ}\) clockwise about the point \((1,2)\).
C. Translate \( \triangle DEF\) two units to the left.
D. Reflect \( \triangle DEF\) across the line \(x = 1\).