Download Geometry Semester 1 Exam Review

Geometry Semester 1 Exam Review
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NAME: _________________________________________
1-3. Find the exact slope, midpoint, and distance of the segment joining the points
(8,0) and (8 , 7) .
Slope_____________
Midpoint___________
Distance between two points________________
4. T is the midpoint of QR. Find x If QR = 14x + 12 and QT = 10x -2,
5. Given the diagram, find the value of y:
(x + 10)o
yo
(2x-12)
C
6. In  ABC , if m ABF  28 and BF is an angle bisector, find m BCE .
F
A
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Geometry Semester 1 Exam Review
7A.  R and  Q are complementary. If m R  7 x  13 and m Q  2 x  57 . Find the value
of x.
7B. Find x if  R and  Q are supplementary.
8. A commercial artist is designing a logo for a sailboat company.
If AB || CD and AC || BD, what is the measure of  1?
32
A
B
1
C
9. In a given diagram,  5 is congruent to  6. If that is true, what does  5 -  6
equal?
10.  ABC has angle measurements of 75 degrees, 25 degrees, and 80 degrees.
Classify  ABC according to its angles and sides.
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Geometry Semester 1 Exam Review
11.  RED has sides of 7, 11, and 20. Classify  RED as right, acute, obtuse, or not
possible.
12.  RED has sides of 11, 12, and 20. Classify  RED as right, acute, or obtuse. Show
all work and justify your answers.
C
13. Identify a median and an altitude of  ABC
G
F
A
D
H
E
Figure for problem 13.
14. A triangle has the lengths of 20 feet and 23 feet. What are the possible lengths of
the third side?
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Geometry Semester 1 Exam Review
15. Given the right  BLU , find the missing side as an exact length if one leg is 11 and
the hypotenuse is 17. Put your answer in simplest radical form.
16. Using special triangle theorems, not a calculator, find the length of an altitude of an
equilateral triangle with sides of 25. Draw a picture.
17. The shorter leg of a 30, 60, 90 triangle has a measure of 7.6 feet. Find the perimeter
of the triangle to the 1000th place. Draw the picture.
18. In the diagram, what is the measure of  A to the nearest tenth of a degree.
C
7
B
4
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Geometry Semester 1 Exam Review
19. A slide 6.21 meters long makes an angle of 31.5 with the ground. Approximately
how high is the top of the slide above the ground?
20. Given the quadrilateral to the right: Find the value of x.
(3x – 21)
110
(x – 10)
(5x + 2)
21. Know the names of every polygon from a triangle to a 10 sided polygon.
3 - ____________________
4 - ____________________
5 - ____________________
6 - ____________________
7 - ____________________
8 - ____________________
9 - ____________________
10 - ____________________
22. What is the measure of each interior angle of a regular pentagon? Hexagon?
Decagon?
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Geometry Semester 1 Exam Review
23.. NPQR is a trapezoid. Find the value of x.
P
2x + 10
N
17
S
R
2x – 12
T
Q
24. You are going to have a proof using parallel lines and pairs of congruent and
supplementary angles. Go back to that packet and practice your proofs.
25. Two boats left the Port of Cleveland at the same time. One boat traveled due north
at 7mph and the other boat traveled due west at 9mph. How many miles apart, to the
nearest 1000th are the boats after 6 hours? Show the calculations that lead to your
answer. (2 points)
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