MATH SOLVE

4 months ago

Q:
# 100 + Brainliest MathAbdul is making a map of his neighborhood. He knows the following information:His home, the middle school, and high school are all on the same street.His home, the elementary school, and his friend's house are on the same street.The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. A street map is shown. The streets form a triangle comprised of the locations of home, friends house, and the high school. TheWhat theorem can Abdul use to determine that certain angles are congruent? (6 points)Corresponding Angles TheoremVertical Angles TheoremPythagorean TheoremAngle-Angle-Side Theorem

Accepted Solution

A:

Answer:Abdul can use corresponding angles theorem to determine the rest congruent angles.Step-by-step explanation:From the given information the following map was traced which is attached below.The angle between the elementary school, middle school, and his home i.e ∠C and the angle between his friend's house, the high school, and his home i.e ∠E are congruent.[tex]\Rightarrow \angle C\cong\angle E[/tex]As these two are corresponding angles and they are congruent, so[tex]\Rightarrow DE\ ||\ BC[/tex]Corresponding angles theorem states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.Further, as DE is parallel to BC, so ∠B and ∠D will be congruent (corresponding angles).i.e the angle between the middle school, elementary school, and his home will be congruent to the angle between the high school, his friend's house, and his home.Therefore, Abdul can use corresponding angles theorem to determine the rest congruent angles.