HIGH SCHOOL DEPARTMENT
Mathematics Subject Area
SY 2013 – 2014
Math 3 Regular
1 st Term Exam Reviewer Name: ________________________________ 3-___
1.1 – 1.6 Building Blocks, Poolroom Math, Making Good Definitions, Polygons, Triangles,
Quadrilaterals
3.1 – 3.4 Construction (duplicate, bisect, perpendiculars, parallel lines)
2.5 – 2.6 Angle Relationships and Parallel Lines
4.1 – 4.3, 9.1 – 9.4 Triangle Properties and Right Triangles
Coordinate Geometry (Using Your Algebra Skills 1 – 3, 5, 6)
REMINDER: This reviewer is simply to help students recall concepts that they should know, in preparation for the exam. It DOES NOT, in any way, simulate the complexity of an actual test..
A. IDENTIFICATION: Write the word or phrase that is being described.
_______________ 1. Two angles whose measures add up to 90 o
_______________ 2. A segment from a vertex of a triangle to the midpoint of the opposite side
_______________ 3. A triangle with at least two congruent sides
_______________ 4. A polygon with all angles congruent
_______________ 5. An angle which measures greater than 90 o
_______________ 6. An equilateral parallelogram
_______________ 7. A quadrilateral with exactly one pair of parallel sides
_______________ 8. Non-coplanar lines that do not intersect
_______________ 9. Intersecting lines that form a right angle
_______________ 10. The side of a right triangle opposite the right angle
_______________ 11. The angle of a triangle between its congruent sides
_______________ 12. Points that lie on the same line
_______________ 13. A segment from a vertex of a triangle perpendicular to the line containing the opposite side
_______________ 14. A quadrilateral with two pairs of distinct congruent consecutive sides
_______________ 15. A triangle with no equal sides
_______________ 16. Two segments with equal length
_______________ 17. Two angles formed by intersecting lines & are not adjacent angles.
_______________ 18. A ray that divides an angle into two congruent angles
_______________ 19. A parallelogram which is both equilateral and equiangular
_______________ 20. A line which is perpendicular to a segment at its midpoint
B. ALWAYS-SOMETIMES-NEVER: On the space provided before each number, write A if the statement is always true, S if the statement is sometimes true, or N if it is never true.
_____ 1. In a plane, if two lines are perpendicular to a third line, then they are perpendicular to each other.
_____ 2. The consecutive angles of a parallelogram are congruent.
_____ 3. If M is the midpoint of CD , then CM+MD=CD.
_____ 4. If JP bisects

ZJT, then 2m

ZJP = m

ZJT.
_____ 5. If Alternate interior angles are supplementary, then the lines interected by the
transversal are parallel.
_____ 6. The measure of an exterior angle is greater than the sum of the measures of its remote interior angles.
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_____ 7. If one acute angle of a right triangle is congruent to an acute angle of another right triangle, then the third angles are congruent.
_____ 8. In

ABC, the sum of the lengths of AB and BC is less than the length of AC .
_____ 9. Every line has exactly one perpendicular bisector.
_____ 10. Two acute angles form a linear pair.
_____ 11. An acute triangle is an equilateral triangle.
_____ 12. If two lines cut by a transversal form congruent corresponding angles, then the lines are parallel.
_____ 13. Every point on the angle bisector is equidistant from the sides of the angle.
_____ 14. If the base angles of a triangle are complementary, then the triangle is right.
_____ 15. Vertical angles are supplementary.
III.
1.
Given: m

EVA= x+26 m

BVD= 40+x m

CVF= 7x+51
Find m

EVD.
A
C
E
V
F
D
B
E
J
G
M
K
H
F
B
D
E F
4.
2.
Given: m

BKM = 2x+72 m

KMD = x+36
Find x .
A
C
3.
Given: m

AJE = 12+3x m

MJK = 7x-72
Find m

JMC.
A
C
J
G
M
K
H
B
D
Given: m m

 h = 48+3x i= 4x+10
Find m
 l.
A
C e f g h i j k l
B
D
5.
Given: m
 e = 2x+26 m
 g= x+70
Find m
 e.
A
C e f g h i j k l
B
D
6.
Given: m

BCE = x+23 m

DCE = 2x- 20
Find x.
A
B
C
E
D
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A
B
C
E
F
A
B
C
E
F
11.
9.
7.
Given: m

CBE = 6x - 40 m

CEB = 10 + 4x
A
Find m

CBA.
B
124 o x = _________
(x+32) o
C
(2x+50) o
E x = ___________ y = ___________
13.
128° x = _____________
(11x+6)°
34°
F
Given: m

BCE = 63 + x m

CBE = 4x - 68 m

CEF = 120
A
Solve for x.
B
8.
10. z = ________
12.
h= _____________
14.
M
13
6 3
8
C z
E h
A
6
H
Perimeter of MATH = ______________
F
T
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15. x
30° x = _________
IV. Answer the following:
12
45°
16.
27° x = ____________
52°
1. Sketch regular pentagon PENTA where PN || AT .
2. Arrange the letters in decreasing order:
3. Using the figure on the left,
a. Show that the quadrilateral is a rectangle.
b. Show that its diagonals are congruent. y
T (0, b)
P (0,0) a
61°
c. Show that its diagonals bisect each other.
d. What kind of triangle is

PQR ? Justify. b
3x-4 e
59°
60°
Q d
59° c
S (a, b)
R (a,0) x
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HB .
5. Given

AHS with A(0,-2), H(2,4) and S(6,4), determine the following: a. slopes of all the sides b. midpoints of all the sides c. equation of median AM d. equation of altitude HN e. point of intersection of line AM and line HN
f. equation of perpendicular bisector to AS.
6. Given the cube on the right, solve for the length of diagonal
7. Construct right triangle

ABC where m

A =90

and m

B = 37.5

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