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andre [41]
3 years ago
11

Use the following diagram to answer questions

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

9514 1404 393

Answer:

  • ΔDEH ~ ΔGEF
  • ∠G = 89°
  • ∠F = 22°

Step-by-step explanation:

17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...

  ΔDEH ~ ΔGEF

__

Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...

  ∠D ≅ ∠G = 89° . . . . answer to 17b

  ∠E ≅ ∠E = 69°

  ∠H ≅ ∠F = 22° . . . . answer to 17a

_____

<em>Additional comment</em>

The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.

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