Which translation will change figure ABCD to figure A primeB′C′D′? (4 points) A coordinate plane is shown. Figure ABCD is composed of coordinates A, 1 comma negative 3, B, 1 comma negative 1, C, 3 comma 1, and D, 3 comma negative 3. Figure A prime, B prime, C prime, and D prime is composed of coordinates A prime, negative 1 comma 1, B prime, negative 1 comma 3, C prime, 1 comma 5 and D prime, 1 comma 1.

A translation is a rigid transformation where the location of a figure is changed while the dimensions and orientation of the figure remains the same

The translation that will change ABCD to figure A'B'C'D' is 2 units left and 4 units up

The reason the above translation is the correct is given as follows:

Given:

The coordinates of the change A(1, -3),  B(1, -1), C(3, 1), and D(3, -3)

The coordinates of figure A'B'C'D' are A'(-1, 1), B'(-1, 3), C'(1, 5)), D'(1, 1)

Solution:

Finding the difference in the x and y-values gives;

Therefore, the common transformation of the points of ABCD to give A'B'C'D' is , which is 2 units left and 4 units up

Learn more about rigid transformations here:

link

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.