Consider the following pentagon. Which of the following is false? B E A W A. BD =w+ B. AB OC. AC CB OE. BC =u-W =u+v-r =r-v-w =w+v+r D r C

Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.

3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ

RSTV is a kite, with RSST and RVVT. If mSTV=40, how large is the angle formed a by the bisectors of RST and STV? b by the bisectors of SRV and RST?

A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?