Which transformation was applied to figure a to form figure b?
a. figure a was translated 3 units right and 10 units down to form figure b.
b. figure a was translated 10 units right and 3 units down to form figure b.
c. figure a was reflected across the line m to form figure b.
d. figure a was rotated 90° clockwise about the point n to form figure b.

B

Step-by-step explanation:

Let point N has coordinates (0,0), then figure A has vertices at points (-3,0), (-7,0), (-7,4) and (-3,4). Figure B has vertices at points (3,1), (7,1), (7,-3) and (3,-3).

1. Translation 10 units to the right has the rule

(x,y)→(x+10,y).

Then vertices of the figure A have images:

2. Translation 3 units down has the rule

(x,y)→(x,y-3).

Then images are

As you can see these points are exactly the vertices of the figure B.

B. Figure A was translated 10 units right and 3 units down to form figure B.

Step-by-step explanation:

We are given two figures (both are squares) and we are to determine whether which transformations were applied to figure A to form figure B.

Initially, the coordinates of figure A were:

(-3, 0), (-7, 0), (-3, 4) and (-7, 4)

And the following coordinates when it transformed to figure B:

(3, 1), (7, 1), (3, -3) and (7, -3)

So basically figure A was translated 10 units right and 3 units down to form figure B.

Therefore, the correct answer option is B.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: