:select the correct answer from each drop-down menu. triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x′y′z′, with vertices x′(4, -2), y′(4, -3), and z′(1, -4). the type of transformation that triangle xyz undergoes is a triangle x′y′z′ then undergoes a transformation to form triangle x′y′z′, with vertices x″(4, 2), y″(4, 3), and z″(1, 4). the type of transformation that triangle x′y′z′ undergoes is a .

Once again, chokes on my answer, so you get it as a picture.

1) translation

2) reflection

Translation

Reflection about x- axis

Step-by-step explanation:

We are given that a triangle XYZ with verticesX(-2,0),Y(-2,-1) and Z(-5,-2) undergoes a transformation to form triangle X'Y'Z' with vertices X'(4,-2),Y'(4,-3) and Z'(1,-4).

X=(-2,0) and X'=(4,-2)

x=-2,x'=4

x'-x=4-(-2)=6

y=0,y'=-2

y'-y=-2-0=-2

Y(-2,-1) and Y'(4,-3)

x'-x=4+2=6

y'-y=-3+1=-2

Z(-5,-2) and Z'(1,-4)

x'-x=1+5=6

y'-y=-4+2=-2

The vertices of triangle XYZ change into vertices of triangle X'Y'Z' by the rule

Hence, the type of transformation that triangle XYZ undergoes is a translation.

Triangle X'Y'Z' undergoes a transformation to form triangle X''Y''Z'' with vertices X''(4,2),Y''(4,3) and Z''(1,4).

We can see that y- coordinate of every point of triangle X'Y'Z' change into positive and x - coordinate remain same.

Reflection about x- axis

Hence, the type of transformation that triangle X'Y'Z' undergoes is a reflection about x- axis.

it's

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq