Checkpoint: converse, counter-example and bisector

A triangle has two equal angles. What follows?

• The third angle is a right angle
• Nothing, until a side is measured
• The sides opposite those angles are equal

A claim has passed a hundred honest tries. Then one case fails. What is the claim worth now?

• Most of its value, since a hundred cases back it
• Nothing changes until a second case fails
• It is ended, since one failing case is enough

One triangle has sides 6, 8, 10. Another has sides 9, 12, 15. Are they congruent?

• Yes, since they look alike
• Yes, since every side is a whole number
• No, since every side differs

In an isosceles triangle, the apex bisector meets a base of 10. How long is each piece of the base?

• 5
• 10
• It cannot be found