3. Proving Triangle Congruence by SAS
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What do the markers on the sides indicate?
Right isosceles triangle
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.