The values are and
Explanation:
From the figure, we can see that the two quadrilaterals are similar.
Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,
∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q
Also, GF = QR and DE = PS
Where QR = and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q =
°
Hence, to determine the value of x for the side QR, we have,
Equating the values in GF = QR,we get,
Thus, the value of x is 8.
Substituting x in the angle Q to determine the value of y.
Thus, we have,
∠F = ∠Q
Thus, the value of y is 10.
Hence, The values are and
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)