Determining Triangle Similarity and Indirect Measurement

This lesson teaches how to find the height of a school using indirect measurement and triangle similarity. It begins with a review of the angle-angle postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. The lesson then demonstrates using a mirror to measure distances and create a diagram. By analyzing the diagram, the lesson shows how to set up proportions to solve for the unknown height, concluding that the school's height is 600 centimeters or 6 meters.

What is the main objective of the lesson?

• To measure the width of a building

• To calculate the area of a triangle

• To learn how to hang a banner

• To find the height of a school using indirect measurement

According to the Angle-Angle Postulate, when are two triangles similar?

• When they have three congruent sides

• When they have two congruent angles

• When they have two congruent sides

• When they have one congruent angle

What tool is used in the lesson to find the height of the school?

• A compass

• A mirror

• A protractor

• A ruler

What is the first step in using the mirror for measurement?

• Measure the height of the person

• Lay the mirror on the ground in front of the school

• Position the mirror to see the roof apex

• Measure the distance from the mirror to the school

How do you determine if the triangles are similar in this lesson?

• By comparing their side lengths

• By ensuring they have equal areas

• By verifying they have two congruent angles

• By checking if they have equal perimeters

What is the height of the school represented as in the proportion?

• h

• x

• z

• y

What is the distance from the mirror to the point directly below the apex of the school?

• 600 cm

• 150 cm

• 700 cm

• 175 cm

What is the final calculated height of the school?

• 500 cm

• 600 cm

• 700 cm

• 800 cm

What mathematical concept is primarily used to solve the problem in the lesson?

• Calculus

• Trigonometry

• Algebra

• Similarity

What is the converted height of the school in meters?

• 5 meters

• 6 meters

• 7 meters

• 8 meters