# PRIZE SHOW Advanced Geometry Unit 4 Lines in a Plane

```PRIZE SHOW
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&deg;
(2x-8)&deg;
19  x  94
7. What is the measure of B ?
40&deg;
B
130&deg;
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 &amp; LO.
T
DO &amp; IT are altitudes.
H
I
O
Prove:
HI  HO
10. Given:
a
b, &amp; c
c
e
f
a
Is each pair of 's  ,
supplementary or neither?
1
3 4
b
15
16
a.
4 &amp; 7
Supplementary
b.
12 &amp; 19

c.
3&amp; 10
Supplementary
d.
12&amp; 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
```