Download 2/19 8.6 Proof and Logic answers File

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Geometry
8.6 Proofs and Logic Problems
Determine whether the given information implies that QS || PT. Explain your reasoning.
2.
1.
1. Yes; QS divides two sides of triangle PRT
proportionately (scale factor 5/2)
2. No; QS does not divide TR and PR
proportionately.
3. Use the diagram shown to if you are given enough information to conclude that LP || MQ. If
so, state the reason.
a.
b.
c.
a. no
b. yes; If corresponding angles congruent, lines parallel
c. yes; definition of similar triangles (corresponding angles are congruent) and then, if corresponding
angles congruent, lines parallel
4.
OR
GB || FC || ED – given
AG
/GE = AB/BD – Since BG || ED, BG divides the sides of ΔADE proportionately
GAB ≅ EAD – Reflexive prop.
ΔABG ~ ADE – SAS Similarity Post.
5.
multiplication
Another way to think about
the proportion is that you’re
substituting XW for WY.
And “division” is basically
“canceling.”