Please answer in a two-column or paragraph proof, if possible! 1. Given:

Prove: <1 ≅<2

2. Take your understanding of the ways to prove triangles similar and discuss the following:

Given: quadrilaterals ABCD and WXYZ and

Are the quadrilaterals similar? If so, give a convincing argument to support your answer. If not, give a counterexample. Sketch the quadrilaterals to help you with your answer.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

this is answer of 144 cubic meters

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus