PRIZE SHOW
Advanced Geometry
Unit 4
Lines in a Plane
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
1. Always, Sometimes or Never?
a. Corresponding ' s are acute.
Sometimes
b. Alternate interior 's are .
Sometimes
c. If a transversal is to two
intersected lines, then the same side
interior 's are supplemental.
Always
2. Always, Sometimes or Never?
a. The midpoint of the altitude to the base
of an isosceles is equidistant to the
endpoints of the base.
Always
b. The altitude to the hypotenuse
of a right triangle bisects the
Sometimes
intersected side.
3. Always, Sometimes or Never?
a. Two 's that are both complementary
and congruent are right 's.
Never
b. The median to the base of an
isosceles , is a bisector
of the base.
Always
y C (3, 8)
(–5, 0) A
x
T (7, –6)
4.a. What is the slope of the altitude to AT ?
2
4.b. What is the slope of the median to AT ?
11
2
3
5. Given: AB has a slope of ,
4
A 3, 6 , B 10, k
Find:
The value of k.
45
1
11
4
4
6. What are the restrictions on x?
30°
(2x-8)°
19 x 94
7. What is the measure of B ?
40°
B
130°
90
8. Given:
1 4 x 2
2 8 x 10
2
1
3
a. What is the value of x?
16
b. What is the measure of 3?
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
Given : OLI is isosceles
D
with legs LI & LO.
T
DO & IT are altitudes.
H
I
O
Prove:
HI HO
10. Given:
a
b, & c
c
e
f
a
Is each pair of 's ,
supplementary or neither?
1
3 4
b
15
16
a.
4 & 7
Supplementary
b.
12 & 19
c.
3& 10
Supplementary
d.
12& 20
Neither
d
e
2
5 6
7
8
12
9
11
13
10
17
20
18
19
21
14
f
11. Given:
c
Which lines are parallel if:
a
1
3 4
b
15
a.
1 8
c
f
b.
15 Supp. 3
a
b
c.
17 1
None!
d.
6 20
e
f
16
d
e
2
5 6
7
8
12
9
11
13
10
17
20
18
19
21
14
f
C
U
3
6
D
12a. If DU
b. If UC
5 8
4
1
2
7
K
KC which named 's are ?
2 3; 6 7
DK which named 's are ?
1 4; 5 7
0
