Download Geometry Semester 1 Final Exam Review 2014/2015 name period

Geometry Semester 1 Final Exam Review 2014/2015 name _____________________________ period ___
1.
2.
3.
Find the distance between the points (-3, 5)
and (6, -2).
6.
���� and labels the point of
Gustavo bisects 𝐴𝐴𝐴𝐴
bisection P. If the length of ����
𝐴𝐴𝐴𝐴 is 6.2 cm, what
����
is the length of 𝐴𝐴𝐴𝐴 ?
7.
Andre bisects a right angle. What is the
measure of each of the two new angles?
8.
Write the converse to this statement:
“If it rains today, then I will bring an umbrella.”
9.
List the undefined terms in Geometry.
Find the midpoint between (4, -7) and (-6, -3).
a). When a point is translated horizontally,
what happens to the x-coordinates of the
point? What happens to the y-coordinates of
the point?
10. In the diagram shown, name two angles that
form a) a linear pair and b) vertical angles.
B
A
C
b). When a point is translated vertically, what
happens to the x-coordinates of the point?
What happens to the y-coordinates of the
point?
D
E
Linear Pair:
Vertical Angles:
11. The triangle shown is translated so that A’ is at
the origin. What are the coordinates of B’?
4.
Consider the linear equation y = 3x – 5
a) Write an equation of a line that is parallel
to the line.
10
8
6
A
4
2
b) Write an equation of a line that is
perpendicular to the line.
-10 -8 -6 -4 -2
2
-2
-4
-6
-8
-10
5.
Two angles are complementary. The larger
angle is twice as large as the smaller angle.
What is the measure of the two angles?
B
4
6
8 10
12. What is the area of the triangle shown?
10
16. What is the surface area of the figure shown?
A
9
8
7
6
5
B
4
3
2
C
1
-1
1
2
3
4
5
6
7
8
9 10
-1
13. What is the area of the trapezoid shown?
10
17. A rectangle is 5 inches wide but has a
perimeter of 24 inches. What is the area of the
rectangle?
18. What is the area of the trapezoid shown?
A
9
8
B
7
6
5
4
C
3
2
1
-1
-1
D
1
2
3
4
5
6
19. A right triangle has a hypotenuse of 10 cm and
a leg with the length of 4 cm. What is the
length of the other leg?
14. What is the volume of the cylinder shown?
Leave the result in terms of π.
20. Match each picture and description:
Right rectangular
prism
Cylinder
Sphere
Right triangular
prism
15. What is the surface area of the cylinder shown
In question 14? Leave the answer in terms of
π.
Oblique
rectangular prism
Oblique triangular
prism
21. Consider the isosceles triangle shown. The
measure of exterior angle DAC is 135°. What is
the measure of angle C?
25. If the marked angles are congruent, which
reason allows us to conclude that the lines are
parallel?
a.
b.
c.
d.
22. If the measure of angle C is 30°, what is the
measure of angle BAD?
A
26. Match each reason statement with the number
of a corresponding reason.
If two lines are parallel, then Corresponding
Angles are Congruent.
B
If two lines are intersected by a transversal so
that Corresponding Angles are congruent, then
the lines are parallel.
C
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C.
D
23. In the diagram, line a is parallel to line b. What
is the value of x?
Alternate Interior Angle Converse Theorem
Alternate Exterior Angle Converse Theorem
Same-Side Interior Angle Converse Theorem
Corresponding Angle Converse Postulate
1
∠1≅∠2
2
E
3
2
m∠3+m∠2= 180°
F
AB +BC = AC
G
If AC + BC = 105, and AC = 83, then 83 + BC = 105
H
24. Use the box method to find the area of
parallelogram TQPN.
12
11
10
9
8
7
T6
5
4
3
2
1
-1
-1
m∠ABC + m∠CBD = m∠ABD
J
Q
P
N
1 2 3 4 5 6 7 8 9 10 11 12
If AC + CD = CD + DE, then AC = DE.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Angle Addition Postulate
Corresponding Angles Postulate
Corresponding Angles Postulate Converse
Linear Pair Postulate
Segment Addition Postulate
Substitution Property
Subtraction Property
Transitive Property
Vertical Angle Theorem
Constructions:
27. Perpendicular Bisector:
28. Angle Bisector:
29. Equilateral Triangle: