Which best explains why all equilateral triangles are similar?

all equilateral triangles can be mapped onto each other using dilations.
all equilateral triangles can be mapped onto each other using rigid transformations.
all equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
all equilateral triangles are congruent and therefore similar, with side lengths in a 1: 1 ratio.

Option 1 is true.

All equilateral triangles can be mapped onto each other using dilations.

Step-by-step explanation:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

1)

As in a dilation the figure either shrink or expand by some factors so the ratio of the corresponding sides of both the triangle will have the same ratio.

Hence the triangle will be similar.

2)

All equilateral triangle can be mapped onto each other using the rigid transformation.

in rigid transformation such as reflection, rotation and translation and there combinations the location of shape of the figure might appear different.

Hence we could not say that they are similar.

3)

All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Same as in part 2) ; here also we may not obtain similar triangles.

4)

All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

It is not necessary that the location of shape of two triangle might be same.

Hence, option 1 is true.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

answer: 30

step-by-step explanation: its 30 because im a basketball player and stephen curry hits most of his shots so if you put 30 you might make the shot goodluck