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Honors Geometry: First Semester Final Review
December 2012
Name __________________________________
1. In the figure below, which is drawn to scale, name a parallelogram, a trapezoid, and a triangle.
B
C
A
E
D
2. Two lengths of a triangle measure 3 centimeters and 4 centimeters, respectively. What is the shortest
length the third side can be? What is the longest length?
3. What is the slope of the line containing the points (-1, 8) and (.4, -5)?
4. In the figure below, parallel lines r and s are intersected by line t. What is the measure of angle θ?
.
53
.

.
5. In a certain triangle, the longest side is 2 feet longer than the second-longest side, and the second
longest side is 5 feet longer than the shortest side. If the perimeter is 26 feet, how many feet long is the
shortest side?
6. The figure below is made from two sets of parallel lines, and an equilateral triangle, ∆BDE. What is the
measure of CDB?
D
C
A
B
G
E
F
7. One of the angles in an isosceles triangle measures 29°. Give two separate examples of what the other
two angles could measure.
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Honors Geometry: First Semester Final Review
December 2012
8. On a coordinate plane, point S has coordinate (-9,4) and point T has coordinate (3,6). What is the
coordinate of the midpoint of ST ?
9. In the figure showing ∆ABC below, line m is parallel to line n. Which angles must be congruent to x?
D
C
x
A
G
m
B
n
E
F
10. The area of a trapezoid may be found by using the formula A = ½ h(b 1 +b2), where h is the height and
b1 and b2 are the lengths of the parallel bases. What is the area, in square inches, of the isosceles
trapezoid below if the height is 9 in?
14
11
21
11. In any parallelogram ABCD, state all the properties pertaining to the angles.
12. The perimeter of a parallelogram is 106 inches, and 1 side measures 22 inches. What are the lengths,
in inches, of the other 3 sides?
13. What is the maximum number of different triangles that can be drawn from 1 vertex in any hexagon?
Heptagon? Octagon? Decagon?
14. In pentagon ABCDE, shown below, A measures 50°, and B measures 76°. What is the total
measure of the other 3 interior angles?
A
B
76
E
C
D
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Honors Geometry: First Semester Final Review
December 2012
15. In the figure below, ACD measures 115°, ABC measures 77°, and points B, C, and D are collinear.
What is the measure of CBD ?
A
B
C
D
16. In the standard (x,y) coordinate plane, a line segment has its endpoints at (1,1) and (7,-2). What are
the coordinates of the midpoint of the line segment?
17. One endpoint of a line segment in the (x, y) coordinate plane has coordinates (6, -10). The midpoint of
the segment has coordinates (-2, 3). What are the coordinates of the other endpoint of the segment?
18. For triangle ∆XYZ, where side XZ is longer than side XY ,
what can you say about how certain angles relate to each
other.
19. The sides of a square are 6 cm long. One vertex of the
square is at (6,2) on a square coordinate grid marked in
centimeter units. Name three other possible points.
20. What is the number of degrees the hour hand of a clock moves in 7 hours?
21. Points X, Y and Z lie on the same line. If the length of XY is 9 meters and the length of YZ is 3
meters, then what are all the possible lengths, in meters, for XZ ?
22. Sides AB and AC are the same length in ∆ABC, which has an exterior angle measuring 122° to a
base angle. What is the value of each interior angle?
27. In a figure in which C in the midpoint of AB and CD is perpendicular to AB , name all congruent
segments and angles formed.
28. A triangle has sides of length 7 units, 9 units and x units, respectively. What are the parameters for the
value of x.
29. The measures of the angles of a triangle are in the ratio of 4x:4x:7x. What is the measure of the
smallest angle in the triangle?
30. Name the four triangles congruencies.
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Honors Geometry: First Semester Final Review
December 2012
Define the following terms:
 Angle bisector
 Midpoint
 Complementary
 Supplementary
 Median
 Perpendicular bisector
 Altitude
 Parallelogram
 Rhombus
 Isosceles Trapezoid
 Rectangle
 Square
 Midsegment
 Isosceles Triangle
 Equilateral Triangle
 Regular Polygon
Name the following:





Interior angle sum theorem
Exterior angle sum theorem
Properties of a parallelogram
Parallel line theorems
Midsegment theorems
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