Download Geometry A quiz 4

Geometry A quiz 4.1-4.2
VERSION B
1-7. Write a proof: (about 12 steps)
name___________________________________da______
M
Given: ME is an angle bisector,
1 is comp. to 2
4 is comp to 3
Prove: MR
2
is  bisector of AY
3
1
A
4
E
Y
8-10. Answer Always, Sometimes, Never
8. A median and an altitude can be the same segment in a scalene triangle._________________
9. In a right triangle, the altitudes are concurrent in the interior of the triangle________________________
10. In an equilateral triangle, the orthocenter, the centroid, the incenter and the circumcenter are the same point.
______________________
11. Draw a diagram, write the given and the prove AND write the proof for the “case of the missing diagram”
The ray drawn from the vertex angle of an isosceles triangle through the point of intersection of the
medians to the legs bisects the base.
G
and it is a gem of a problem!!
E
GIVEN:
M
PROVE:
________________________________________________________________________________________________
1.
2.
3.
4.
5.
6.
7.
8.
.
.
.
12. Given A ( 4,4 ) B( -7, 3) C( 1, -5). Find the coordinates of the midpoints of each side.
A
B
C
Midpoint of seg. AB
Midpoint of seg. BC
Midpoint of seg. AC
If the triangle above is shifted two units to the right and down five units, what are the new coordinates of the vertices and
midpoints?