Download Honors Geometry Semester One Review Guide #3

ANSWER KEY
Honors Geometry Semester One Review Guide #3
This covers chapter 5 and chapter 6.
1. The medians of triangle are concurrent (that means they intersect a single point). What is the name of the point where the
medians meet (the point of concurrency)?
[A] incenter
[B] circumcenter
[C] orthocenter
[D] centroid
2. The point of concurrency of the altitudes of a triangle is the ___.
[A] incenter
[B] circumcenter
[C] orthocenter
[D] centroid
3. Find the possible lengths of the third side of the triangle below.
a.
5
4.
b. 19 <
7 < x < 17
12
20
x < 59
c.
39
5 < x < 23
9
14

CD is the perpendicular bisector of AB . What can you conclude about the following?
a. AE
= EB
b. AC
= BC
c.
C
A
E
B

90
m∠CEB =
d. AE
≠ ED
D
5. The midsegments of TKE are drawn.
KL = 7
CL = 9
TK =
18
6. The altitudes of an acute triangle intersect INSIDE OUTSIDE RIGHT ON the triangle. (circle one)
7. The medians of an acute triangle intersect INSIDE OUTSIDE RIGHT ON the triangle. (circle one)
8. Given the figure below, what can you conclude about IM and EM?
T
I
IM > EM
20˚
M
19˚
E
X
9. Determine which figure(s) have the property.
Property
Both pairs of opposite sides are parallel
Exactly 1 pair of opposite sides are parallel
Diagonals are perpendicular
Diagonals are congruent
Diagonals bisect each other
Both pairs of opposite sides are congruent
Exactly 1 pair of opposite sides are congruent
All four sides are congruent
Both pairs of opposite angles are congruent
Exactly 1 pair of opposite angles are congruent
All four angles are congruent
No sides are parallel
Determine whether the given points form a rectangle,
P ( 2,5 )
10.
Q ( −4,5 )
R ( 2, −7 )
S ( −4, −7 )
RECTANGLE
rhombus, square, trapezoid or kite.
A ( −3, 4 )
11.
B ( 0, 7 )
C ( 3, 4 )
D ( 0, −3)
KITE
J ( −5, 6 )
12.
K ( −4, −2 )
L ( 4, −1)
M ( 3, 7 )
SQUARE
P ( −5, −3)
13.
Q (1, −2 )
R ( 6,3)
S ( 7,9 )
TRAPEZOID
Determine if each of the following figures is a polygon.
14. YES
NO
15. YES
NO
16. YES NO
18. A square has an area of 36 square meters. What is its perimeter?
17. YES
NO
24 m
19. A square has a perimeter of 480 inches. What is its area? 14400
in 2
20. Find all the missing angle measures in the parallelogram below.
1
4
2
m∠1 = 64


m∠2 =43

73˚
64˚
3
m∠3 = 43

m∠4 =73
21. Find the measure of the midsegment of the trapezoid below.
14 u 2
18
10
22. Solve for x and y in the parallelogram at the right.
x= 2,y= 4
B
C
AB = 10x – 3
BC = 8y – 9
CD = 7x + 3
AD = 5y + 3
23. Find the area of the trapezoid below.
18
12
25
258 u 2
A
D
24. Find the area of the kite below.
10
6
100 u 2
25. Find the area of the triangle below.
175.725 u 2
35.2
10
21.3
4
26.8
16.5
26. Find the area of the triangle with vertices
( −2, 2 ) , ( 5, 2 ) and ( 5, −4 ) . 21 u 2
For questions #27-30, P is the centroid of ΔDEF, EH ⊥ DF , DH
27.
FH = 9
28.
EH = 12
= 9, DP = 7.5, EP = 8 and DE = FE.
E
P
29.
PH = 4
30. Perimeter of ΔDEF =
48
D
F
H