Any would be great!

δabc was dilated from the origin by a scale factor of 2 to create δa′b′c′. which statement explains why the triangles are similar?

a. dilations preserve side length; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.

b. dilations preserve betweenness of points; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.

c. dilations preserve orientation; therefore, the corresponding angles of δabc and δa′b′c′ are congruent.

d. dilations preserve angle measure; therefore the corresponding angles of δabc and δa′b′c′ are congruent.

D

Step-by-step explanation:

A dilation transforms an object by making it larger or smaller. When you increase a pre-image to create a larger image, the dilation is called an enlargement. When you decrease the pre-image to create a smaller image, the dilation is called a reduction.

When dilating a triangle the side lengths change because the pre-image is enlarged or reduced to create the image. Therefore, the lengths of each side will change. However, the angle measures of a preimage and its image after dilation do not change (angles do not change in dilation).

with this information we can easily get rid of A & C. betweenness of points don't tell us if the shapes are congruent or not. So therefore D is the answer.

instagram is better than go there instead lol

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3