The rule (x, y)→(2x,2y) maps △def to △d′e′f′. which statement correctly describes the relationship between △def and △d′e′f′ ? a. the triangles are congruent because △d′e′f′ is a rotation of △def , and a rotation is a rigid motion. b. the triangles are not congruent because △d′e′f′ is a dilation of △def , and a dilation is not a rigid motion. c. the triangles are not congruent because △d′e′f′ is a translation of △def , and a translation is not a rigid motion. d. the triangles are congruent because △d′e′f′ is a reflection of △def , and a reflection is a rigid motion.

B. The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Step-by-step explanation:

Given : The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

We can see that a scale factor (2) is used in the above rule.

Rigid motions do not use any scale factor.

The transformation that uses scale factor to transforms figure is dilation.

And Dilation is not rigid motion because it does not produce congruent images.

Hence,  The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

1/4 because there is 4 grades.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.