Download Geometry Curriculum Based Assessment (CBA) #3

MATH
Geometry
Curriculum Based Assessment (CBA)
#3
1
Look at the figures below.
Which of the following general conjectures is supported by these figures?
A
If the diagonals of a quadrilateral are perpendicular, and only one bisects the
other, then the quadrilateral is a kite.
B
If the diagonals of a quadrilateral are perpendicular, then the quadrilateral is not
a parallelogram.
C
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a
square.
D
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is not a
parallelogram.
2
The table below illustrates a relationship between the number of sides in any given polygon and the sum
of the angle measures of that polygon.
Number of
Sides
Sum of Angle
Measures
3
180
4
360
5
540
6
720
n
Which of the following best expresses this relationship?
F
90n
G
60n
H
180n
J
180(n-2)
3
4
The sum of the exterior angles of any given polygon is always equal to –
A
90
B
180
C
360
D
540
Concrete workers are busy preparing to pour a rectangular patio on the rear of Miguel's new house. The
workers have laid out, using boards, what appears to be a rectangle to frame where the cement will go.
What could the workers do to ensure the patio is really rectangular before pouring the cement?
F
Determine if the opposite sides are congruent
G
Determine if the diagonals are congruent.
H
Determine if the diagonals are perpendicular.
J
5
None of the above
A person standing on level ground is 2,000 feet away from the foot of a 420-foot-tall
building, as shown in the accompanying diagram.
To the nearest whole degree, what is the value of ​x?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
​
6​
In the accompanying diagram of right triangle ​ABC, ​AB = 8 cm, ​BC = 15 cm, ​AC = 17 cm,
and m∠ABC = 90°.
What is tan ∠​C?
F
G
H
J
7
In the accompanying diagram, ​ABCD is a trapezoid with altitudes ​DW and ​CZ. Side ​CD
measures 17.3 inches, ​DA measures 8.6 inches, m∠​A = 68°, and m∠​B = 53°.
What is the perimeter, to the nearest tenth of an inch, of trapezoid ​ABCD?
A
57.63
B
62.4
C
64.7
D
65.7
8​ In the right triangle below, the length of
What is the length of
F
G
H
J
?
is 30.
9
A baseball diamond is a square with a length of 90 feet on each side.
If the shortstop fields a ball and throws to first from a point exactly halfway between second
base and third base, what is the length of the throw?
A
90 feet
B
100.6 feet
C
112.5 feet
D 135 feet
10 ​Muriel plans to make a sail in the shape of a right triangle for her boat.
She wants the largest part of the sail to make a
60-degree angle with the horizontal. How many
square meters of material will she need to make the
sail?
F
G
7.29
H
J
14.75