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S_A_V [24]
3 years ago
11

list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KL

MNP ~ HGFDC
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:  

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If  Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H,  ∠ L ≅ ∠ G,  ∠ M ≅ ∠ F,  ∠ N ≅ ∠ D,   ∠ P ≅ ∠ C

And, KL ≅ HG,  LM ≅ GF,  MN≅FD,  NP≅DC,  PK≅CH

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<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

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Since the height of a triangular face is 612 ft,

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∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
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  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

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