Question

1. if 2 sides of a triangle are congruent, then the opposite angles are
2. if a triangle is equilateral, then it is
3. congruent figures
4. corresponding parts
5. acute triangle
6. scalene triangle
7. obtuse triangle
8. right triangle

a. exactly the same shape
b. equiangular
c. congruent
d. 1 angle greater then 90 degrees
e. 1 angle equals 90 degrees
f. all 3 sides different lengths
g. sides and angles that match
h. all angles less then 90 degrees

Explanation:

1. In a triangle, if two sides are congruent, then the angles opposite those sides are congruent by the Isosceles - Triangle Theorem.
2. An equilateral triangle has all sides equal, and by the Angle - Side Relationship in triangles, it is equiangular (each angle is 60 degrees).
3. Congruent figures have exactly the same shape and size.
4. Corresponding parts of congruent figures are the sides and angles that match.
5. An acute triangle has all angles less than 90 degrees.
6. A scalene triangle has all three sides of different lengths.
7. An obtuse triangle has one angle greater than 90 degrees.
8. A right triangle has one angle equal to 90 degrees.

Answer:

1. C. Congruent
2. B. Equiangular
3. A. Exactly the same shape
4. G. Sides and angles that match
5. H. All angles less than 90 degrees
6. F. All 3 sides different lengths
7. D. 1 angle greater than 90 degrees
8. E. 1 angle equals 90 degrees