Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

Question

1. If two triangles are congruent, then they are similar.

2. If three sides of one triangle are congruent to three sides of a second triangle, then the

triangles are similar.

3. If PQ is the altitude to the hypotenuse, AM, in right triangle PAM, then ?PQ is the mean

proportional of AQ and MQ.

4. Every triangle has exactly one midsegment.

5. In ?PXR, if ?R is a right angle, then tan

Answer 1

1. T
2. T
3. T
4. F—Every triangle has three midsegments.
5. F—tan X= RP/RX