Theorem: the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
a two-column proof of the theorem is shown, but the proof is incomplete.
statement reason
the coordinates of point d are (4, 5) and coordinates of point e are (5, 3) by the midpoint formula
length of segment de is square root of 5 and length of segment ac is 2 multiplied by the square root of 5 by the distance formula
segment de is half the length of segment ac by substitution
slope of segment de is −2 and slope of segment ac is −2
segment de is parallel to segment ac slopes of parallel lines are equal
which of the following completes the proof?
a) by definition of congruence
b)addition property of equality
c) by construction
d)by the slope formula

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Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.