Download Geometry: Unit III Review Fill in the blank with the appropriate word

Geometry: Unit III Review
Fill in the blank with the appropriate word correctly spelled:
1. A triangle with three congruent sides is called a(n) _____________________ triangle.
2. In an isosceles triangle the two congruent sides are called the ______________ and the angle formed
by these congruent sides is called the ______________________.
3. A statement which is easily proven using a particular theorem is called a(n) _________________.
4. Three or more lines that intersect at a single point are said to be ___________________.
5. The point where the three medians of a triangle intersect is called the __________________.
6. The point where the three altitudes of a triangle intersect is called the __________________.
In problems 7 – 10, classify WHS according to its angles and sides:
7. WH = 18
8. mW  30
9. WH = 11
HS = 18
HS = 11
mH  60
mW  42
mH  42
10. mW  90
mH  45
11. In BIG , BI = 8, IG = 10, GB = 12 and mI  83 . Super Sam correctly classified BIG as acute
scalene. Given only the one angle, how did S.S. know the triangle had to be acute?
yo 40o
In problems 12 – 16, find the value of each variable:
12.
13.
14.
zo
106
6x + 9
o
x
43
o
o
4x + 5
15.
67
o
16.
4x - 8
4x + 6
4x + 11
5x + 28
7x - 3
xo
18. In SAM , SA = 8, AM = 8 and SM = 8. Find mA .
In problems 19 and 20, draw the indicated segment. ALSO, indicate any congruent segments, congruent
angles or right angles that would result from drawing the segment.
A
19. Median from vertex A
C
A
20. Altitude from vertex C.
B
B
C
For problems 22 & 23, consider CAT with MY and YX as midsegments.
C
22. If MY = 24, and AT  6x  34 , find x.
Y
M
A
X
T
23. If mA  52 , find mCMY and mAXY .
24. In CAR , mC  15 and mA  80 . List the sides of the triangle in order from smallest to largest.
In problems 26 & 27, the lengths of two sides of a triangle are given. If x is the length of the third side,
complete the compound inequality.
26. 7in. and 19 in.
______ < x < _______
27. 11cm and 42cm
______ < x < _______
28. Explain why a triangle with the following measurements cannot exist.
AB = 13, BC = 22, AC = 27, and mC  72