Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
3. Triangles
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Exercise 4 Page 559

Markers on the sides of figures indicate that they are congruent.

Equiangular equilateral triangle

Practice makes perfect
We will classify the marked triangle on the ear of a very cute cat! Let's review how to classify triangles by their sides and angles.
Classification of Triangles
By Angle Measures By Side Lengths
Acute Triangle All angles are acute. Scalene Triangle All three sides have different lengths.
Right Triangle One angle is a right angle. Isosceles Triangle Exactly two sides have the same length.
Obtuse Triangle One angle is an obtuse angle. Equilateral Triangle All side lengths are congruent.
Equiangular Triangle All angle measures are congruent.

Now, let's take a look at the triangle part of the given figure!

The markers on the three sides of the triangle indicate that these sides are congruent. Since all sides are congruent, this is an equilateral triangle. All three sides are the same length, which means that their angles are also congruent. From this, we know that the triangle is also equiangular.