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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

3. Proving Triangle Congruence by SAS

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Exercise 34 Page 250

What do the markers on the sides indicate?

Acute equilateral triangle

Practice makes perfect

Let's analyze the given triangle.

To classify the triangle by its sides, we need to know how many sides are congruent.

Type	Sides
Scalene	No congruent sides
Isosceles	At least 2 congruent sides
Equilateral	3 congruent sides

Note that there are markers on every side. These indicate that all of the sides are congruent. Therefore, the triangle is equilateral. Now let's move on to the angles.

Type	Angles
Acute	3 acute angles
Right	1 right angle
Obtuse	1 obtuse angle
Equiangular	3 congruent angles

Since all the angles are acute, we can classify the triangle as an acute equilateral triangle.

Subchapter links

Communicate Your Answer p.245

Monitoring Progress p.247-248