Question

Classify each of the following statements as true or false, and explain your reasoning:
a. All right angles are congruent
b. All acute angles are congruent
c. All obtuse angles are congruent

Answer 1

a. True. A right angle is definitively 90 degrees, so all right angles have the same measurement.
b. False. Acute simply means that an angle is less than 90 degrees, so an acute angle can be any angle between 0 and 90.
c. False. Similar to question b; obtuse simply means an angle is greater than 90 degrees, so it can be a range of possible measurements.

Answer 2

a. All right angles are congruent (true): all = 90 degrees) ==
b. All acute angles are congruent(false) (acute angle: 0<angle<90)===
c. All obtuse angles are congruent , false ( obtise angle : 90<angle<180