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4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.
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4 Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K Select all statements that must be truea Triangle FGJ is congruent to tria class=

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yolopolo931

Answer: C, E, F

Step-by-step explanation: dude tbh idek but ik that it’s the right answer

The true statements are:

  1. Angle KHE is congruent to angle KFG.
  2. Segment EH is congruent to segment FG
  3. Segment GH is congruent to segment EF.

Given:

  • Triangle HEF is the image of triangle FGH after a 180-degree rotation about point K
  • And Six statements

To find:

The true statements out of given sic statements.

Solution:

ΔHEF is the image of ΔFGH after a 180°rotation about point K.

This simply implies that ΔFGH is congruent to ΔHEF. As no dilation is done while rotation of the ΔFGH.

In congruent ΔFGH and  ΔHEF

  • HF = HF (common)
  • GH = EF
  • FG = EH
  • ∠FGH=∠HEF
  • ∠GFH=∠EHF

      Can also be written as:

        ⇒ ∠KFG=∠KHE

  • ∠GHF=∠EFH

       Can also be written as:

        ⇒ ∠GHK=∠EFK

So, from the given statements the true statements are:

  1. Angle KHE is congruent to angle KFG.
  2. Segment EH is congruent to segment FG
  3. Segment GH is congruent to segment EF.

Learn more about the congruency of triangles here:

brainly.com/question/19258025?referrer=searchResults

brainly.com/question/19561311?referrer=searchResults

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