Download SFHS Geometry Unit 4.4 HW Properties of Similar Triangles (Figures

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SFHS Geometry Unit 4.4 HW Properties of Similar Triangles (Figures are not drawn to scale)
1.
. Find the value of x.
L
A
10
N
E
x
20
B
5
C
D
K
2.
O
M
. Find the value of x.
5.
L
,
, and
. Find
.
B
7
N
O
8
35
D
x
K
M
A
3.
,
, and
C
E
. Find DE.
A
B
6.
,
, and
. Find
.
G
I
D
J
E
C
F
4.
,
, and
H
. Find LM.
7.
,
, and
. Find
.
Q
P
S
Q
T
S
P
8.
T
R
,
, and
. Find
R
11. Identify the pairs of congruent angles and the
corresponding sides.
.
Q
G
K
3
10
S
5
L
4
8
J
H
6
I
P
9.
T
,
Pairs of Cogruent Angles
Sides
R
, and
. Find
Corresponding
Write a similarity statement and find the scale
factor, k.
_____
______, k = _____
.
B
12.
to
D
. Find the scale factor, k, from
.
D
E
12.5
A
C
E
A
B
5
C
10.
,
, and
. Find
.
F
15. Plot
. Rotate
90°, then dilate using
the center at the origin and scale factor of 2.
13. The graph below shows a dilation.
y
y
10
5
B
5
B"
–5
A
A''
C"
C
x
5
–10
–5
10 x
5
–5
–5
a) Is it a reduction or enlargement? ___________
–10
b) What is the scale factor ( ) of the dilation? ___
14. Dilate polygon JKLM using the origin as the center
of dilation at the origin and a scale factor of
Rotation
A(–3, 2)
B(–5, 4)
C(–1 , 6)
A'(
,
Dilation
A''(
)
B'(
C'(
,
)
,
B''(
,
C''(
)
.
Determine if the image is a reduction or
enlargement.
y
Pre-Image
,
)
)
,
)
K
J
16.
L
has vertices
,
and
. If DEF is dilated using the origin as the
center of dilation and a scale factor of 2, then what
are the coordinates of the image?
x
17. Find the area of the shaded region.
M
J(
K(
L(
M(
,
,
,
,
)
)
)
)
(
(
(
(
,
,
,
,
)
)
)
)
7
7
4
3
SFHS Geometry Unit 4.4 HW Properties of Similar Triangles (Figures are not drawn to scale)
Answer Section
1. ANS:
2
PTS: 1
2. ANS:
48
DIF: Webb 2
STA: Geom 5.0
PTS: 1
3. ANS:
15
DIF: Webb 2
STA: Geom 5.0
PTS: 1
4. ANS:
24
DIF: Webb 2
STA: Geom 5.0
PTS: 1
5. ANS:
24
DIF: Webb 2
STA: Geom 5.0
PTS: 1
6. ANS:
5
DIF: Webb 2
STA: Geom 5.0
PTS: 1
7. ANS:
6
DIF: Webb 2
STA: Geom 5.0
PTS: 1
8. ANS:
20
DIF: Webb 2
STA: Geom 5.0
PTS: 1
9. ANS:
84
5
DIF: Webb 2
STA: Geom 5.0
PTS: 1
10. ANS:
9
2
DIF: Webb 2
STA: Geom 5.0
PTS: 1
11. ANS:
DIF: Webb 2
STA: Geom 5.0
, ratio of similarity = 2
PTS: 1
12. ANS:
5
2
PTS: 1
13. ANS:
enlargement;
PTS: 1
NAT: G.SRT.1
14. ANS:
varies
DIF: DOK 2
PTS: 1
15. ANS:
A''(–20, 0)
PTS: 1
16. ANS:
D'(–4, –8), E'(4, –12), F'(8, –6)
PTS: 1
17. ANS:
43 square units
PTS: 1
NAT: G.SRT.1
OBJ: CLAIM 1: TARGET M
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