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Advanced GeometryUnit 4
Lines in a Plane
PRIZE SHOW
3.
7.
10.
8.
11.
6.
9.
12.
2.
4. 5.
1.
1. Always, Sometimes or Never?
Always
Sometimes
Sometimesa. Corresponding ' are acute.s
c. If a transversal is to two
intersected lines, then the same side
interior 's are supplemental.
b. Alternate interior 's are .
2. Always, Sometimes or Never?
Sometimes
Always
a. The midpoint of the altitude to the base
of an isosceles is equidistant to the
endpoints of the base.
b. The altitude to the hypotenuse
of a right triangle bisects the
intersected side.
3. Always, Sometimes or Never?
Always
b. The median to the base of an
isosceles , is a bisector
of the base.
Never
a. Two 's that are both complementary
and congruent are right 's.
4.a. What is the slope of the altitude to ?AT
T (7, –6)
(–5, 0) A
C (3, 8)
x
y
4.b. What is the slope of the median to ?AT
2
11
2
3 5. Given: has a slope of ,
4 3,6 , 10,
Find: The value of k.
AB
A B k
�������������� �
45 1 11
4 4
6. What are the restrictions on x?
30° (2x-8)°
19 94x
7. What is the measure of ?B
130°B
40°
90
8. Given: 1 4 2
2 8 10
x
x
. What is the value of x?a
. What is the measure of 3?b
2 1
3
16
118
9. Setup a proof of the following statement: The altitudes to the legs of an isosceles triangle intersect at a point that is equidistant from the endpoints of the base. Include: a.) Diagram b.) Given Information c.) Conclusion to be Proved
L
H
I O
D T
: isosceles
with legs LI & LO.
DO & IT are altitudes.
Given OLI is Prove: HI HO
b, & e fa c
10. Given:
12
3 4 65
98
7
1110
1412
1317
1615
1918
a
21
20
b
dc
ef
Is each pair of 's ,
supplementary or neither?
. 4 & 7a
. 12 & 19b
. 3& 10c
. 12 & 20d
Supplementary
Supplementary
Neither
11. Given:
12
3 4 65
98
7
1110
1412
1317
1615
1918
a
21
20
b
dc
ef
Which lines are parallel if:
. 1 8a
. 15 Supp. 3b
. 17 1c
. 6 20d
c f
a b
!None
e f
12 . If which named 's are ?a DU KC
12
D K
CU
43
5
67
8
. If which named 's are ?b UC DK
2 3; 6 7
1 4; 5 7
