Mathematics, 30.11.2020 22:50, kbuhvu
Tracy found the length of GF. Her work is shown below.
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 16, the length of line segment G E is 2 x, and the length of line segment B G is 8 x.
16 = 2(2x)
16 = 4x; x = 4
8(4) = 32
GF = 2(32)
GF = 64
What error did Tracy make?
She used AG = 2EG, but the correct statement is 2AG = GE.
She found that x = 4, but the correct value for x is 2.
She used GF = 2BG, but the correct statement is BG = 2GF.
She found that GF = 64, but the correct value of GF is 8.
Answers: 1
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In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.
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Tracy found the length of GF. Her work is shown below.
Triangle A B C has centroid G. Lines are dra...
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