Congruent angles

Congruent angles
Description
Exercise Name:	Congruent angles
Math Missions:	8th grade (U.S.) Math Mission, High school geometry Math Mission
Types of Problems:	1

The Congruent angles exercise appears under the 8th grade (U.S.) Math Mission and the High school geometry Math Mission. This exercise introduces some of the parallel line theorems regarding congruent and supplementary angles.

Types of Problems

There is one type of problem in this exercise:

1. Mark the angles that are congruent: This problem provides the standard geometric diagram with two parallel lines and a transversal. One of the angles is marked and the user is asked to select all other angles that are congruent to that initial angle.

   

   Mark the angles that are congruent

Strategies

Knowledge of some of the angles theorems and postulates are useful on this exercise, but not necessary.

1. The angles that are congruent to a given angle are called corresponding, alternate interior, alternate exterior and vertical.
2. In every case users will be required to mark three of the angles in the picture.
3. The picture should make some angles look obtuse and some angles look acute. Mark the angles that are the same type as the original marked angle. In other words, the angles that look congruent on this problem generally are.

Real-life Applications

1. Many geometric concepts come up in the fields of architecture and graphical design.
2. Engineers and architects use angles for designs, roads, buildings and sporting facilities.
3. Athletes use angles to enhance their performance. Carpenters use angles to make chairs, tables and sofas.
4. Artists use their knowledge of angles to sketch portraits and paintings.