Download Honors Geometry Exam Review Exam Review Name: Unit 7 1. List

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Trigonometric functions wikipedia , lookup

Perceived visual angle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Transcript
Honors Geometry Exam Review
Exam Review
Unit 7
List all possible names for the quadrilateral below?
•
•
|
|
•
|
|
•
1.
Name:_____________________
List all possible names for quadrilateral ABCD with vertices:
2. A(.5,2), B(-3,6), C(,6,6), and D(4,2)?
3.
4.
List all the quadrilaterals that can contain four right angles.
Honors Geometry Exam Review
5.
Find the other three angles in the parallelogram if Angle CDA is
650.
A
B
D
C
6.
A parallelogram has an angle of 1200. Find the measure of the
other three angles.
7.
Which statement can you use to conclude that quadrilateral XYZW is
a parallelogram?
X
Y
N
W
Z
a.
b.
c.
d.
Name the figure and find the missing angle measures:
11.
12.
13. HIJK is a rectangle. Draw a picture and find the lengths of the
diagonals if
Honors Geometry Exam Review
Determine the most specific name for the quadrilateral. If not, write
impossible:
14.
15.
Find the missing angle measures:
16.
17.
Find the value of the variable(s) and the angle measures:
18.
19.
Find the missing angle measures:
20.
21.
Honors Geometry Exam Review
+____
23
Unit 8 Exam Review
Find the circumference of each circle, then find its area.
60) C = _______ A = ______
Find the length of
63)
61) C = _______ A = ______
62) C = _______ A = ______
64)
65)
.
= _________
= _________
= _________
Find the area of the shaded region.
66) A = ________
67) A = ________
68) A = ________
69)
Find the perimeter of the track to the nearest
tenth.
Perimeter of Track = ___________
Honors Geometry Exam Review
70)
Define APOTHEM.
Find the area of the regular polygon. Round to the nearest tenth.
71) A = ________
72) A = ________
73) A = ________
74) a hexagonal swimming pool cover with radius 5 ft
75) a square deck with radius 2 m
Identify the shape, formula used & find the area.
76)
77)
15
Honors Geometry Exam Review
Find the probability that a dart thrown at the figure will land in the shaded area. (Assume all darts hit
the figure)
78) __________
80) __________
82)
Find the area of the triangle, in square units.
79) __________
81) __________
Honors Geometry Exam Review
Exam Review
Unit 9
Name:_____________________
Identify that theorem that proves the two triangles are SIMILAR.
1) _____________
2) _____________
3) _____________
4) How many theorems are there that prove 2 triangles are similar? ________
5) List the theorems that prove 2 triangles are similar.
________________________________________
6) ____________
7) ____________
8) ____________
Calculate the geometric mean between the two numbers.
9)
4 and 9
_____________
Find x in the triangles below.
12) ____________
10)
5 and 10
11)
8 and 9
_____________
_____________
13) ____________
14) ____________
+____
20
Honors Geometry Exam Review
The two figures are similar regular polygons. Calculate the perimeter of the smaller figure.
15) Perimeter = ____________
16) Perimeter = ____________
17.)
Starting at point A, Sally walks 8 feet due east. She then turns 20o to the left and walks another
8 feet. She then turns 20o to the left, walks another 8 feet, turns left another 20o, and so on until
she returns to her starting point. How far does she walk to the nearest foot?
18)
Identify the formula to find GEOMETRIC MEAN.
19)
it.
Identify the Angle Bisector Theorem. Know how to apply it and solve for missing sides using
20)
Identify The Side-splitting Theorem. Know how to apply it and its 2 Corollaries.
Honors Geometry Exam Review
For questions #21-22, use the figure to the right:
 X’R’T’ is a dilation image of  XRT.
21)
Find the similarity ratio for the dilation pictured.
22)
If R’T’ = 22 cm, then RT = ________.
For questions #23-24, use the figure to the right:
A’B’C’D’ is a dilation image of ABCD.
23)
Find the similarity ratio for the dilation pictured.
24)
If A’B’ = 18 in, then AB = ________.
25)
Natasha places a mirror on the ground 24 ft from the base of an
oak tree. She walks backward until she can see the top of the tree
in the middle of the mirror. At that point, Natasha’s eyes are 5.5 ft
above the ground, and her feet are 4 ft from the image in the
mirror. Find the height of the oak tree.
26)
Find x.
27)
A man 6 ft tall casts a shadow 4 ft long. At the same time, a building casts a shadow 60 ft long.
How tall is the building? Make a drawing to represent the situation.
Honors Geometry Exam Review
Unit 10 Exam Review
+____
11
Write the trigonometry ratio for the given angle, then find the value of x.
28) tan x = ________
29) tan x = ________
sin x = ________
sin x = ________
cos x = ________
cos x = ________
x = _______
x = _______
Write the expression needed to solve for x.
30)
31)
32)
Describe the two vectors with coordinates and with direction and magnitude.
33)
________________
34)
________________
Honors Geometry Exam Review
35)
A surveyor measures the top of building 36 feet away from her. Her angle measuring device is
5 feet above the ground. The angle of elevation to the top of the building is 48o. How tall is the
building to the nearest foot?
36)
A hiker leaves point A and hikes 6 miles straight north. She then turns right and hikes 5 miles
east, then turns left and hikes 2 north. She stops for a water break then hikes 11 miles straight
west. At this time, what is her straight line distance from her starting point A?
37)
Plot the points (4,4), (4,-4), (-4,4), and (-4,-4). Now find the length of one of the diagonals of
the square?
38)
Find the missing variables.
Honors Geometry Exam Review
Unit 11 Exam Review
For #83 & 84, Identify how many faces,
vertices and edges the figure below has.
+____
16
87) Find the volume of the solid.
83)
5 in.
9 in.
5 ft
7 in.
6 ft
84)
6 ft
3m
5m
4m
19 m
85) Find the surface area and volume of the
prism.
88) Find the volume of the
cone.
25.08 m
24 cm
7 cm
45 m
10 m
89) Find the volume of the cone.
23 m
86) Find the volume of the
cylinder.
7 cm
8m
2 cm
10.4 m
Honors Geometry Exam Review
90) Find the surface area of the sphere.
95)
Identify the shape of the cross section if
a plane intersected the cylinder being
parallel to the bases.
96)
Using the figure above, Identify the
shape of the cross section if a plane
intersected the cylinder being
perpendicular to the bases.
97)
What is the volume of the square
pyramid if the height is 10 in? What is
the volume of the cube? What is the
ratio of the volumes?
5m
91) Find the volume of the sphere.
21 mm
92) The shipping crates shown are similar.
a. Find the ratio of their volumes.
Slant height =
3
2
3
5
93)
A plane is parallel to the base of a right
cone. What is the shape of the resulting planar
cross section?
94)
A plane is perpendicular to the base of a
right cone. What is the shape of the resulting
planar cross section?
Sides of
Cube are
all 10 in.
98)
Compare the volume formulas of a
pyramid and a cube. What is the difference??