Homework 7
MTHSC 118
Name SN
Spring 2010 due March 12
Prove that both pairs of non-adjacent interior angle of a convex kite are congruent. In other words, prove  BAD   BCD and  ABC   ADC .
One of your students constructs the two triangles below use a Geo-Board. She claims that the triangles are not congruent since one triangle has a right angle and the other has a “left” angle. Prove that the two triangles are congruent.

Homework 7: Congruence & Similarity due March 12
You wish to prove that the angles opposite congruent sides of an isosceles triangle are congruent. Therefore, you construct point H to be the midpoint of
GF construct
EH
. Complete the proof showing that  EGF   EFG .
and
You wish to prove that opposite sides of a parallelogram are congruent. That is,
IJ and
 LK
IL
. Therefore, you construct a perpendicular segments
JM
and
NL
. Since
are parallel, the distance between the two lines is the same. Therefore,
JK
JM  NL . Complete the proof showing that
IJ  LK .

Homework 7: Congruence & Similarity due March 12
What type of figure is formed by joining the midpoints of a rectangle? Justify your answer.
What type of figure is formed by joining the midpoints of a parallelogram? Justify your answer.

Homework 7: Congruence & Similarity due March 12
Page 802 Number 6
Page 803 Number 7

Homework 7: Congruence & Similarity due March 12
In
V
ABC , the midpoints of connected to form
DE
AB
and
AC
. Prove that
DE
are constructed. These midpoints are then
is parallel to
CB
.