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
2x + 7 = 3
2x = 3 - 7
2x = -5
x = -5/2
-14b+28=-10b-30
-4b+28=-30
-4b=-58
b=58/4=29/2
To find the halfway points between two numbers, add the numbers and divide the quantity by 2. -5+15 equals 10 and 10/2=5 therefore 5 is halfway between -5 and 15.
Line A is the correct answer because the line crosses the 7 dish point at the one minute point
