please need help as soon as possible please! need help very quickly with geometry homework!

Question

Question 1: Which of the following transformations appears to be a dilation?

A.)

B.)

C.)

D.)

Question 2: Find whether the figure has plane symmetry, symmetry about an axis, or neither.

A.) Plane symmetry

B.) Plane symmetry and symmetry about an axis

C.) Symmetry about an axis

D.) neither plane symmetry nor symmetry about an axis

Question 3: Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation ABCD→A'B'C'D'?

A.)

B.)

C.)

D.)



Please just give explanation and answer!

Answer 1

For #1, B is the dilation because it preserves the general shape. Dilation is enlargement or shrink in equal amounts, so it does not distort the general shape.

For #2, I would say both symmetry about axis and plane symmetry although the pictures do not help. B correctly illustrates plane symmetry. You can take a piece of paper and cut it equal in half with reflectional symmetry across the plane. If it has plane symmetry, it would also have axis of symmetry, which is more often used for 2D shapes. A line can be drawn and you can rotate the shape about until you return to the same shape. Think like a starfish and sand dollar.

For #3, I would say D. You want to reflect the shape first over one line. And then reflect that shape over the second line. When making a reflection over the line. You want to be perpendicular across the lines of reflection. As in D, when when reflect point A over the first line, you get to point M and you have that good perpendicular line through the line of reflection. The reflection over the second line will get you to the new point A. Same thing for the other points. You want to go perpendicular (right angle) and equidistant (same distance) across the lines of reflection.