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Transcript
Geometry 1st Nine Weeks Test STUDY GUIDE
1.
Find the area of the trapezoid at right.
2.
A line goes through the points (–4, 6) and (10, –1).
Name: _______________________________
a. Find the equation of the line.
b. What would the y value be when the x value is -12?
3.
Given that the area of PQR is 24 in2, then the length of QR is___.
4.
The length of the line segment joining the points (5, –1) and (1, –4) is ________
5.
In the triangle to the right, if the base is side BC, what is the height?
B
K
6.
Which of the following can be lengths for a triangle?
I. 5, 6, 9
7.
II. 4, 8, 12
A
D
III. 7, 8, 17
Given the system below, what is the value of a + b?
3a + 2b = 11
a–b=7
8.
Calculate the value of x
9.
The point A(–4, 1) is rotated 90º clockwise about the origin. The coordinate of A' is?
10.
The area of DABC is found using what formula?
11.
In the figure to the right,
5
sin x  13
, what are the values for cos x and tan x?
C
12.
Calculate the value of x in the diagram.
13.
Find the area of the square to the right.
Use the following for the next three problems: Given
3x -2y = -12 .
14.
15.
16.
17.
The y – intercept is ___________
The x – intercept is __________
A line parallel would have what slope?
A line goes through the points (5, –1) and (7, –5). A line perpendicular to that line would have what slope?
18.
Solve:
19.
Solve for x.
20.
What proportion could be used to solve for x? Solve for x.
21.
Given the triangles at right, what conjecture can be used to show DEF ~ TRV?
22.
In the figure below, n is a whole number. What is the largest possible value for n that will still form a triangle?
23.
If a right triangle has legs of length 7 and 3, what is the length of the hypotenuse?
24.
In the figure to the right c = 12. What is the measure of b?
25.
What “x=” equation will calculate the value of x in the figure to the right?
26.
Given JKL  PTV, complete the following congruence or equality statements”
-2
4
=
x - 4 1- x
JK=____
J=____
KJL=______
KL=____
K=____
JLK=______
JL=____
L=____
KLJ=______
LJK=______
LKJ=______
27.
What is the length of XY in the figure to the right?
28.
If the area of ΔABC is
29.
Find the value of x in the diagram.
30.
The m∠y is 46, find x.
30in2 , what is the length of KC?
Use the diagram at right for next problems.
31.
5 and 7 are ____________ angles.
32.
7 and 2 are ____________ angles.