3) Triangles ABE, ADE and CBE are shown on the coordinate grid, and all the vertices have coordinate integers. Which statement i
s true?
B
C
E
-54
110 2 3 4
D
A
B
C
E
-54
110 2 3 4
D
A
1 answer:
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<h2>[A] Plane S contains points B and E.</h2>
False
As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.
<h2>[B] The line containing points A and B lies entirely in plane T.</h2>True
As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.
<h2>[C] Line v intersects lines x and y at the same point.</h2>False
As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.
<h2>[D] Line z intersects plane S at point C.</h2>True
As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.
<h2>[E] Planes R and T intersect at line y.</h2>True
As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.