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Geometry
Date: _____________
INDEX:
Start Time: _________
End Time: _________
Score:____/43
1-12. Fill in the hierarchy of shapes from the most general to most specific
using the words from the word bank.
Quadrilateral
Triangle
Parallelogram
Rhombus
Trapezoid
Isosceles
Square
Rectangle
Scalene
Equiangular
Polygon
Equilateral
1.
2.
4.
3.
5.
8.
7.
6.
9.
10.
11.
12.
13-30. True or false?
13. A parallelogram is a special type of trapezoid.
_____
14. An equilateral triangle is a special type of isosceles triangle.
_____
15. A square is a special type of rhombus.
_____
16. A square is a special type of rectangle.
_____
17. A rectangle is a special type of rhombus.
_____
MGEO_sample1.docx
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Geometry
INDEX:
18. Both triangles and trapezoids can be characterized as isosceles.
_____
19. The base angles of a trapezoid must be congruent.
_____
20. The non-base angles of a trapezoid must be congruent.
_____
21. Unlike a parallelogram, a trapezoid’s angles do not have to add to 360°.
_____
22. An isosceles trapezoid’s base is always twice the length of its opposite
side.
_____
23.
A trapezoid can have exactly two right angles.
_____
24. A parallelogram can have exactly two right angles.
_____
25. If one angle of a parallelogram is a right angle, then all of its angles
must be right angles.
_____
26. The diagonals of a rhombus must be congruent.
_____
27. The diagonals of a rectangle are not necessarily perpendicular.
_____
28. An isosceles trapezoid has two pairs of congruent sides.
_____
29. The median of a trapezoid splits the trapezoid into two congruent
trapezoids.
_____
30. One pair of opposite sides of a trapezoid may be congruent and parallel.
_____
MGEO_sample1.docx
2
Geometry
INDEX:
31-35. Write the missing statements and justifications in the proof.
Given:
ABCD is a trapezoid
EF is the median of ABCD
Prove:
AD
EF
B
C
E
F
BC
A
I. 31.
D
32.
II. 33.
Part I, Definition of Median
III.
FD
AE
=
= 1
CF
EB
IV. 34.
Part II, Definition of
35.
36-43. Use the proof’s figure to solve for x.
36. BC = 5, AD = 10, EF = x
37. BC = 3, AD = 7, EF = x
38. AB = 22, AE = 3x + 2
39. FD = 2x, CD = 32
40. AD = 6x, BC = 2x, EF = 12
41. AD = 3x, BC = 5x + 6, EF = 7
42. AE = 5, AB = 4x – 14
43. BC =
MGEO_sample1.docx
3
1
AD, EF = 15, AD = x
2
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