I think the best answer from the choices listed above is the third option. The theorem that Abdul can use to determine the remaining distances for his map would be the Triangle Proportionality Theorem. It states that i<span>f a line parallel to one side of a </span>triangle<span> intersects the other two sides of the </span>triangle<span>, then the line divides these two sides proportionally.</span>
Answer:
Step-by-step explanation:
Top Problem:
Reason:
1. Given
2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)
3. Vertical angles are congruent
4. SAS (Side ZP≅XP Angle ZPY ≅ WPX Side WP≅YP)
Bottom Problem
Reason:
1. Given
2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)
3. Definition of angle bisector
4. Reflexive Property ( a line segment is congruent with itself)
5. ASA (Angle Side Angle Theorem of Congruency)
Here is my answer. I hope it is helpful.
Answer:
175
Step-by-step explanation:
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