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The questions are below the cut. Read them ALL, and read each question in ENTIRETY.
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1. After examining the figure below, Daniel determines that [tex] \frac{FG}{TU} [/tex] = [tex] \frac{EF}{ST} [/tex].
Which theorem or corollary allowed him to draw that conclusion?
[SEE ATTACHMENT]
A. Side-Splitting Theorem
B. Proportional Altitudes Theorem
C. Two-Transversal Proportionlity Corolllary.
D. Proportional Medians Theorem
2. By the Proportional Altitudes Theorem, which proportion is true?
[SEE SECOND ATTACHMENT]
A. [tex] \frac{CB}{GE}/tex] = [tex] \frac{CA}{GF} [/tex]
B. [tex] \frac{BD}{FH} [/tex] = [tex] \frac{CB}{GF} [/tex]
C. [tex] \frac{BD}{FH} [/tex] = [tex] \frac{CB}{EF} [/tex]
D. [tex] \frac{BD}{CD} [/tex] = [tex] \frac{FH}{HE} [/tex]
3. Given that Δ NML is similar to Δ SRQ, what is x?
[SEE THIRD ATTACHMENT]
A. x = 18
B. x = 14.2
C. x = 24
D. x = 40.5
4. Given that Δ DEF is similar to Δ WXY, what is x?
[SEE FOURTH ATTACHMENT]
A. x = 6
B. x = 8.5
C. x = -0.93
D. x = -2.5
5. At a certain time of day, a child whose height is 40 inches casts a shadow that is 26 inches long. The child's father casts a shadow that is 44.2 inches long. The father's height in inches is represented by x.
What is x?
[SEE LAST ATTACHMENT]
A. x = 68 <---- My Answer
B. x = 23.5
C. x = 28.7
D. x = 63.5
