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klio [65]
3 years ago
12

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

  • Triangle CBA is similar to Triangle FED. (Option A)

Also,

  • Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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<h3>Answer: 0</h3>

-------------------

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

  • plane PEF (the front slanted plane)
  • plane PEH (the left triangular face)
  • plane PHG (the back rectangular wall)

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

  • Plane PEF only deals with point F
  • Plane PEH doesn't have any of F or G involved
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So there are no planes that contain line FG and point P.

==================================================

Part (b)

<h3>Answer: 0</h3>

-------------------

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

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None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

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None of these planes have point G located in them.

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