Ellie drew δlmn, in which m∠lmn = 90°. she then drew δpqr, which was a dilation of δlmn by a scale factor of 1/2 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?
m∠p ≅ m∠l; this can be confirmed by translating point p to point l.
m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
segment lm = one half segment pq; this can be confirmed by translating point p to point l.
segment mn = one half segment qr; this can be confirmed by translating point r to point n.
see the attachment.
option (1) is correct.
consider the given equation, 3y -5x ≥ -6
we have to choose the graph from the given option,
we first find the coordinate where the given equation touches x and y axis.
first consider for x axis,
we know at x-axis y coordinate is zero.
substitute y = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3(0) -5x ≥ -6 ⇒ -5x ≥ -6 ⇒ 5x ≤ 6 ⇒ x ≤ 1.2
(x,0) = (1.2, 0)
now, consider for y axis,
we know at y-axis x coordinate is zero.
substitute x = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3y -5(0) ≥ -6 ⇒ 3y ≥ -6 ⇒ y ≥ -2
(0,y) = (0, -2)
now plot according to given coordinate we get the below graph,
thus, option (1) is correct.