Select ALL of the true statements. (Select all that apply.) Dilations of a triangle are similar to the original triangle. Dilations of a polygon always keep angle measures the same. Dilations of a triangle are congruent to the original triangle. Dilations increase the measure of angles. Dilations always increase the length of line segments.

Dilations of a triangle are similar to the original triangle.

Dilations of a polygon always keep angle measures the same.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is a type of transformation that enlarges or reduces an object thereby producing an image which has the same shape but a different size as the object. When dilation is done the image produced is similar and has the same angle measures as the original object.

Dilations of a triangle are similar to the original triangle.

Dilations of a polygon always keep angle measures the same.

Dilations of a triangle are not congruent but similar to the original triangle.

Dilations does not increase the measure of angles, instead it keeps the angle measure.

Dilations does not always increase the length of line segments, it an either increase or decrease the length.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet