To prove quadrilateral WXYZ is a parallelogram, Travis - id7482945, destiny465

Question

Mathematics: To prove quadrilateral WXYZ is a parallelogram, Travis begins by proving △WZY ≅ △YXW by using the SAS congruency theorem. Quadrilateral W X Y Z is shown. A diagonal is drawn from point W to point Y. Sides W Z and X Y are parallel and congruent. Which reasons can Travis use to prove the two triangles are congruent? Check all that apply. ∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem. WY ≅ WY by the reflexive property. ∠ZWY ≅ ∠XWY by the corresponding ∠s theorem. WX ≅ ZY by definition of a parallelogram.

destiny465 · Accepted Answer

D is the correct answer. The ordered pair of S' = (3.5,8.75).

Step-by-step explanation:

Given : A pentagon OPQRS is dilated by a scale factor of k= $\frac{7}{4}$ from the origin, to create O'P'Q'R'S'.

We know that after dilation of any figure from the center by a scalar factor k,the coordinates of the new figure =(kx,ky), where (x,y) be the coordinates of the given figure.

From the given graph we can see the coordinates of S is (2,5)

Therefore, the coordinate of S'=(k2,k5)= $(\frac{7}{4}\cdot\ 2,\frac{7}{4}\cdot\ 5)=(\frac{7}{2},\frac{35}{4})=(3.5,8.75)$

Thus ,the ordered pair of S' = (3.5,8.75).

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