Dorian studied the triangles shown below and made some conclusions. select all of the correct conclusions that dorian made. xyz ∼ rts because two corresponding sides and the included angle of the triangles are equal. xyz ∼ rts because at least two corresponding angles of the triangles are equal. xyz ∼ rts because two corresponding sides of the triangles are equal. xyz ∼ rts because two corresponding sides and the non-included angle of the triangles are equal.

I just did the lesson. The answers are:

XYZ ~ RTS because two corresponding sides and the included angle of the triangles are equal.

XYZ ~ RTS because at least two corresponding angles of the triangles are equal.

Hope this helps! :)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.