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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 3 Page 592

What do the markers on the sides indicate?

Right isosceles

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. Knowing this, 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 ∠ XYZ is a right angle, we can also classify the triangle as a right triangle. Therefore, △ XYZ is a right isosceles triangle.

Subchapter links

Communicate Your Answer p.587

Monitoring Progress p.588-591

Exercises p.592-594