WorksheetsUNIT TEST in MATH 9 (GEOMETRY)
Total questions: 30
Worksheet time: 10mins
State the SSS Similarity Theorem.
If the corresponding sides of two triangles are equal, then the triangles are similar.
If the corresponding angles of two triangles are in proportion, then the triangles are similar.
If the corresponding sides of two triangles are not in proportion, then the triangles are similar.
If the corresponding sides of two triangles are in proportion, then the triangles are similar.
Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.
AA ~ Theorem
SSS ~ Theorem
Not similar
SAS ~ Theorem
Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.
SSS ~ Theorem
Not similar
AA ~ Theorem
SAS ~ Theorem
A _____________ is a quadrilateral with two sides opposite that are parallel.
kite
trapezoid
quadrilateral
parallelogram
Find x.
(a)
Find the value of x and y.
x= 6, y=116
x= 18, y=16
x= 1, y=56
x= 11, y=116
TRUE OR FALSE:
Consecutive angles of a rectangle are complementary.
(a)
ABCD is a rectangle.
If AC=12 , then BD=?
(a)
If Sarah wants to draw a quadrilateral with two pair of parallel sides, which quadrilateral(s) could she draw?
Select all possible answers.
Square
Rectangle
parallelogram
rhombus
What does it mean to have diagonals bisect each other?
The full diagonal line is congruent to the other diagonal line.
That go across each other
The point where diagonals meet is the midpoint.
The angles are congruent
Check all that apply. A rectangle has _________.
opposite sides that are congruent
diagonals that bisect each other
opposite angles that are congruent
diagonals that bisect opposite angles
diagonals that are congruent
Given Rhombus TUVW, find m∠2 .
(a)
Complete the similarity statement: △CED ~ _______
△TVU
△VTU
△TUV
△UTV
It is a quadrilateral with exactly one pair of parallel sides.
(a)
What is the value of x? (decimal value)
(a)
What do you call the parallel sides of the trapezoid?
Diagonals
Legs
Base
Base Angle
What is the value of ∠1 ?
(a)
If ∠D = 105, what is ∠C?
(a)
What is the correct similarity statement?
If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
Right Triangle Similarity Theorem
AAA Similarity Theorem
AA Similarity Theorem
SAS Similarity Theorem
Are the triangles similar?
Write down your work.
yes
no
Two objects that are the same shape but not the same size are _______.
Similar
Congruent
Vertical
Complementary
Which triangles are similar to triangle A?
B
both
C
none
The figure is a kite.
Find the value of y.
(a)
What letter(s) represents the hypotenuse?
a
b
c
d
Which choice(s) represents the legs?
a
b
c
d
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
multiply 25 by 2
25 is the final answer
Divide both sides by 2
Take the square root of both sides
The figure is a trapezoid.
Find CD .
(a)
Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)
4
u
v
60
Are the following similar? Why or why not?
Yes
Maybe
No, the corresponding angles are not equal.
No, the ratios of the corresponding sides are not equal.
