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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Proving Triangle Congruence by SAS

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Exercise 32 Page 606

What do the markers on the sides indicate?

Right isosceles 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 two sides. They indicate that these sides are congruent. Therfore, the triangle is isosceles. Now let's look at the angles.

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

Since one angle is right, we can classify the triangle as a right triangle. Therefore, we can classify the triangle as a right isosceles triangle.

Subchapter links

Communicate Your Answer p.601

Monitoring Progress p.603-604

Exercises p.605-606