Abdul 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. The What theorem can Abdul use to determine the two triangles are similar? (6 points) Group of answer choices Side-Side-Side Similarity Theorem Corresponding Parts of Similar Triangles are Congruent Angle-Angle Similarity Theorem Pieces of Right Triangles Similarity Theorem

The Corresponding Angles theorem states that, when a transversal intersects or cuts the lines which are parallel to each other, then the corresponding angles are congruent.

Abdul 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. Thus,

[tex]\angle C\cong \angle E[/tex]

A street map is attached below. The streets form a triangle comprised of the locations of home, friend's house, and the high school. In this diagram, DE and BC are parallel. Thus,

[tex]DE||BC[/tex]

By the property of corresponding angles theorem, angle B and angle D are congurent.

Thus, the theorem which Abdul can use to determine the two triangles are similar is the corresponding angles theorem.

Learn more about the Corresponding Angles theorem here;

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