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WorksheetsGEOMETRY UNIT 6: SIMILARITY TRANSFORMATIONS
Total questions: 182
Worksheet time: 9hrs 58mins
A(3,3) B(6,6) C(9,3)
A dilation produces a congruent figure
True
False
What are the coordinates for the center of dilation?
(3, 0)
(0, 0)
(3, 1)
(3, -2)
What are the coordinates for the center of dilation?
(0, 0)
(-3, -1)
(-12, 6)
(-3, -3)
An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.
True
False
A dilation is which of the following:
an enlargement
a reduction
Either an enlargement or a reduction
Neither an enlargement or a reduction
When A(3, 6) is under a dilation of 2 what are the coordinates of A'?
(3, 6)
(1.5, 3)
(6, 12)
(12, 6)
State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
G' (5,3)
G' (20,12)
G' (-20,-12)
G' (-5,-3)
If your SF = 0.8, what type of dilation is it?
Reduction
Enlargement
If your SF = 2.5, what type of dilation is it?
Reduction
Enlargement
If your SF = 6/5, what type of dilation is it?
Reduction
Enlargement
A dilation is given by the transformation (x, y) → (3.5x, 3.5y). What is the scale factor?
3/5
3.5
5/3
1/3.5
A dilation is given by the transformation (x, y) → (.75x, .75y). What type of dilation is this?
enlargement
it is not a dilation
reduction
Solve for x
x = 19.6
x = 5/98
x = 101/5
The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?
3.6
2.5
2.4
.42
The scale of a map says that 6 cm represents 15 km.
What is the actual number of kilometers that is represented by 15 cm on the map?
37.5
90
225
20
A
B
C
D
The center of dilation is important because
it's the location from which the dilation occurs.
All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.
it's a fixed point on the plane about which all points are expanded or contracted.
All of the above
What is the perimeter of A'B'C'D' after ABCD is dilated by a scale factor of 3?
30
10
5
15
How is the distance formula correctly written:
d = (y1 − y2)2 −(x2 − x1)2
d = (x2 − x1)2 + (y2 − y1 )2
d = (y1 − y 2)2 + (x2 − x1)2
d = (x)2− (y)2
A(3,1) B(-2,-1) written correctly is:
(−2−3)2 + (−1−1)2
(1−3)2 + (−1−2)2
(−2−3)2 − (−1−1)2
(−2−3)2 − (−1−1)2
A(2,0) B(-2,4) is written as
d = (4−2)2 − (0−2)2
d = (4−0)2 − (−2−2)2
d = (−2 +0)2 + (4+2)2
d = (−2−2)2 + (4−0)2
AB / BM = ? / CD
ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?
SP and SR
QS and PT
PS and RS
TP and RQ
Find the scale factor from the smaller triangle to the bigger.
2/3
1/2
1.5
3
The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.
adjacent; equal
complementary; scalene
congruent; similar
supplementary; isosceles
The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.
proportional; similar
similar, proportional
congruent; congruent
equal; equilateral
The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.
adjacent; intersect
complementary; form
adjacent; create
proportional; included
Which is not a similar triangle theorem?
ASA∼
SAS∼
SSS∼
AA∼
State the postulate that proves these triangles are similar.
AA~
SAS~
SSS~
AAS~
State the postulate that proves these triangles are similar.
SSS~
SAS~
AA~
Not similar
State the postulate that proves these triangles are similar.
AA~
SAS~
SSS~
Not Similar
We can use dilation and ____________________ motion to establish triangle similarity theorems.
symmetry
rigid
movement
none of the above
Which of the following do we consider rigid motions:
translations
symmetry
reflections
rotations
State is the triangles are similar.If so, state how you know they are similar
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by the SSS similarity theorem
Similar by the SAS similarity theorem
Similar by the AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by the SSS similarity theorem
Similar by the SAS similarity theorem
Similar by the AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by the SSS similarity theorem
Similar by the SAS similarity theorem
Similar by the AA similarity theorem
Not similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by the SSS similarity theorem
Similar by the SAS similarity theorem
Similar by the AA similarity theorem
Not similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
not similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
State is the triangles are similar.If so, state how you know they are similar.
Similar by SSS similarity theorem
Similar by SAS similarity theorem
Similar by AA similarity theorem
Not Similar
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
What is the distance midpoint (-5, 3) and (4, -5)
(-0.5, 2)
(-0.5, -1)
(-0.5, 1)
(-.05, -0.5)
a = 9 b = 40
b = 35 c = 37
b = 35 c = 37
