Using Similarity Criteria to Find an Indirect Measure

This video tutorial teaches how to find an indirect measure using similarity criteria. It begins with an introduction to the angle-angle postulate of similarity and proceeds to demonstrate an experiment using a mirror to measure the height of a school. The process involves setting up the mirror, measuring distances, and analyzing the similarity of triangles. By setting up a proportion based on the similarity of triangles, the height of the school is calculated to be 600 centimeters or 6 meters.

What does the angle-angle postulate of similarity state?

• If the hypotenuse of one triangle is equal to the hypotenuse of another triangle, the triangles are similar.

• If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

• If two sides of one triangle are equal to two sides of another triangle, the triangles are similar.

• If one angle of a triangle is equal to one angle of another triangle, the triangles are similar.

What is the first step in using a mirror to measure the height of a school?

• Measure the distance from the mirror to the school.

• Measure the height of the person looking into the mirror.

• Place the mirror on the ground in front of the school.

• Calculate the angle of elevation to the roof apex.

Why are the two triangles in the mirror method considered similar?

• They have the same height.

• They have the same perimeter.

• They have two congruent angles, including a right angle.

• They have the same base length.

How do you set up the proportion to find the height of the school?

• Height of the school is to height of the person as distance from person to mirror is to distance from mirror to school.

• Height of the school is to distance from person to mirror as height of the person is to distance from mirror to school.

• Height of the school is to distance from mirror to school as height of the person is to distance from person to mirror.

• Height of the school is to height of the person as distance from mirror to school is to distance from person to mirror.

What is the calculated height of the school using the mirror method?

• 800 centimeters

• 500 centimeters

• 600 centimeters

• 700 centimeters