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a: be parallel to the original line b: shift five units to the right c: Be perpendicular to the original line d: lie on the same line as the original
@ganeshie8 please help me
draw the diagonals and mark the center |dw:1439337602167:dw|
draw a ray from the center through point A |dw:1439337684756:dw|
if you dilate the rectangle, point A' will lie somewhere on that ray. If you dilate to expand it out, then A' will lie to the left of A |dw:1439337762267:dw|
same goes for B' |dw:1439337784904:dw|
do the same for C' and D' and connect the points with a rectangle |dw:1439337919305:dw|
In a sense, this rectangle is bigger because it is closer to the screen. Think of it as a 3D perspective.
ok so what happens to the dilated line EF
where are points E and F ?
I don't see them mentioned
this line goes through the center |dw:1439338175844:dw|
when we dilate every point, we just move the points outward from the center they will still lie on the same line |dw:1439338225977:dw|
because it is supposed to be dilated too so i thought it would be A
do you see how EF is on E'F' ?
if you extend each out infinitely, then you have the same line more or less
yea so its the same line?
again this only works because EF goes through the center of dilation
Ok can u help me with another question please
Stephen is making a map of his neighborhood. He knows the following information: His home, the bus stop, and the grocery store are all on the same street. His home, the park, and his friend's house are on the same street. Stephen wants to use the Angle-Angle Similarity Theorem to determine the two triangles are similar. He knows the angle between his friend's house, the grocery store, and his home. Which other angle does he need to know?
is there a drawing of this?
yea giv me one sec
ok I'm going to use these letters as shorthand B = bus stop F = friend's house H = home G = grocery store P = park
we are given `He knows the angle between his friend's house, the grocery store, and his home` so he knows the measure of angle FGH |dw:1439338784248:dw| agreed?