PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the mi
ddle 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. What theorem can Abdul use to determine the two triangles are similar?
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and ACD. These triangles are right triangles because
In these triangles:
- given
by reflexive property of equality
So,
- by HA theorem.
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'