Question

Use a flowchart to prove if the triangles in each pair of similar. NO LINKS!!!
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Answer 1

Step-by-step explanation:

Start

<F = <Q Given

<GPF = <RPQ Vertically opposite angles

<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal

Triangle GPF ~ Triangle RPQ AAA

end

I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.

20

JL/LE = 90/27 Given

KL /LD = 90/27 Given

<JLK = <DLK Vertically opposite

Are the ratios equal Yes Then is the angle included Yes

Then the triangles are similar.

Are the ratios not equal No then the triangles cannot be similar

Is the angle not included Then similarity cannot be proved.

ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity

Answer 2

9514 1404 393

Step-by-step explanation:

19) ∠F ≅ ∠Q; ∠FPG ≅ ∠QPR ⇒ ∆FPG ~ ∆QPR (AA)

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20) LE/LK = 3/10; ∠ELD ≅ ∠KLJ; LD/LJ = 3/10* ⇒ ∆ELD ~ ∆KLJ (SAS)

* the ratios are the same, hence the sides are proportional

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The above format A; B; C ⇒ (similarity statement) (postulate) is intended to be sufficient for you to fill in a flowchart diagram similar to the one attached.