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tigry1 [53]
2 years ago
13

3. Segment GE is an angle bisector of both

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

<em><u>Recall:</u></em>

  • A segment that divides an angle into equal parts is known as an angle bisector.
  • Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.

In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles,  ∠HEG ≅ ∠GEF.

Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.

Both triangles also share a common side, GE

<em>This implies that: ΔHGE and ΔFGE have:</em>

two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE

a shared side - GE

Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

Learn more about ASA Congruence Theorem on:

brainly.com/question/82493

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Step-by-step explanation:

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6y + 4 - 3y - 7 = 3(y - 1)

<u>Step 2: Solve for </u><em><u>y</u></em>

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Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres

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