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vivado [14]
2 years ago
5

Midpoint problem someone please solve For geometry Ohio

Mathematics
1 answer:
inna [77]2 years ago
4 0

9514 1404 393

Answer:

  (c)  CPCTC

Step-by-step explanation:

The proof might go something like this:

  1. EH ≅ KH, FH ≅ JH . . . . . given
  2. ∠EHF ≅ ∠KHJ . . . . . vertical angles are congruent
  3. ∆EHF ≅ ∆KHJ . . . . . SAS congruence theorem
  4. EF ≅ KJ . . . . . CPCTC

Note that JK is an alternate name for segment KJ. We used KJ in the proof because vertices K and J correspond directly to vertices E and F in the congruent triangles.

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Find the length of MG. EGF~EML
elena-14-01-66 [18.8K]

Answer:

The length of MG = 56.

Step-by-step explanation:

Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Given that: \triangle EGF \sim \triangle EML

From the given figure:

In \triangle EGF and \trinagle EML

EG = 5x+2

EF = 126

EM = 16

EL = 28

By definition of similar triangle,

\frac{EG}{EM}=\frac{EF}{EL}                                                           ...... (1)

Substitute the given values in equation (1) as shown below:

\frac{5x+2}{16}=\frac{126}{28}

5x+2 = 4.5\times 16

5x+2 =72

which implies, EG = 72.

Now to find the value of MG.

EG = EM+MG

72=16+MG

Subtract 16 from both sides, we get

MG = 56

Hence, the value of length of MG = 56.

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