4.1-4.4 review - martian...
TRANSCRIPT
G
C
D B
A
E F
#1 write A for always, S for sometimes, and N for
never.
_____ 1. If two points, A and B, are equidistant
from the endpoints of a segment PQ, then a third
point, C, between A and B is also equidistant from
P and Q.
_____ 2. If AB bisec tor CD , then
CD bisec tor AB .
_____ 3. If two angles are congruent, then they
are right angles
_____ 4 . If two lines intersect to form two
congruent supplementary angles, then they are
perpendicular.
______ 5. If a line is a perpendicular bisector to a
segment, then any point on the perpendicular
bisector is equidistant to the endpoints of the
segment.
#2 Fill in the blanks with the correct response or
write no perpendicular bisector.
a) Given: G is the midpoint of EF
CE CF
_______ is the perpendicular bisector of ______
b) Given: EA EC
AD DC
_______ is the perpendicular bisector of ______
#3 The altitude to the base of an isosceles triangle divides
the triangle into 2 congruent triangles.
GIVEN: DIAGRAM:
PROVE:
#4. Two circles intersect at two points. Prove the segment
joining the centers of the circles bisects the segment joining
the points of intersection.
GIVEN: DIAGRAM:
PROVE:
4.1-4.4 Review - Martian Darts
C
TA
(-3,4)(4,7)
4 102y
#5 A is the midpoint of CT . Find the coordinates
of T.
#7 Find x and y: (note the expressions are for the
angles, not the sides)
`
#8 If PT PK and MTS MKS
Is PM a perpendicular bisector of KT?
If so, state the theorem that tells you this.
If not, say what information you are missing.
F
L
A
K
E
(3x+4y)°
(8y)° (x)°
#6 Are the following lines perpendicular? Verify
algebraically.
3x + 5
P
T K M
S
#9
#10 Given: EHL CHA
HR bisects LHA
Prove: RH EC
Given: EA ED EA = 4x + 15 ED = 7x - 21
CA = 3x - 6 CD = x + 18
CBA = (10y + 5)
Determine if EB is the bisector of ADand explain how you know. Then findthe value of y.
BA
D
C
E
R
A
C H E
L
3
4 2
1
#11 Given: 3 4
5 6
Prove: BE EK
(do NOT use a detour!)
Y
X
K B
E