A series of rigid motions maps ΔUVW onto ΔRST. Based on this information, which of the following is a true statement? Question 12 options: A) ΔUVW is half the area of ΔRST. B) The corresponding pairs of angles of ΔUVW and ΔRST are congruent, but the corresponding sides aren't. C) ΔUVW and ΔRST are congruent. D) There isn't enough information to make a statement about ΔUVW and ΔRST.

 C) ΔUVW and ΔRST are congruent

Step-by-step explanation:

There are four kinds of rigid transformation.

1) translation 2) reflection 3) rotation 4) glide reflection.

If a series of rigid motions maps ΔUVW onto ΔRST.

Then, ΔUVW and ΔRST must be congruent. (No change in size or shape)

hence, the correct statement is C) ΔUVW and ΔRST are congruent.

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

the answer is two. hope this !