Question

Timothy draws three isosceles triangles. In each figure, he measures a pair of angles. What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning?

A. In an isosceles triangle, two of the angles are congruent.
B. In an isosceles triangle, one angle is always obtuse.
C. In an isosceles triangle, all of the angles are congruent.
D. In an isosceles triangle, two of the angles are obtuse.

Answer 1

A in an Isosceles triangle two of the angles are congruent
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Answer 2

Answer:

In an isosceles triangle, two of the angles are congruent.

Step-by-step explanation:

A. In an isosceles triangle, two of the angles are congruent.

This is the correct statement

B. In an isosceles triangle, one angle is always obtuse. is incorrect

for Example Isosceles Triangle with angle  50° , 50°  , 80°  while obtuse angle > 90°

C. In an isosceles triangle, all of the angles are congruent.  is Incorrect

see above Example , all three angles are not congruent

D. In an isosceles triangle, two of the angles are obtuse.  is Incorrect

No triangle can have two obtuse angle