Geometry
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Find the distance between each pair of points.
Find the midpoint of each line segment.
1)
2)
y
-4
y
4
4
2
2
-2
2
4
x
-4
-2
2
-2
-2
-4
-4
x
4
Write a rule to describe each transformation. 3)
4)
C' y
y
E
Z'
E'
G' F' x
F
Z
C'
x
C G
C
5)
y
Z
G
Z'
x
U
G' U'
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Find the coordinates of the vertices of each figure after the given transformation. 6) rotation 180° about the origin y
7) reflection across x = -1 y
C V P
H
F
x
x
V
M
9) translation: ( x, y) → ( x - 1, y - 4)
8) reflection across y = -x y
y
D X
J
x
x
L K
D Q
10) translation: ( x, y) → ( x - 4, y - 3) y
11) rotation 90° counterclockwise about the origin M(-5, -4), R(-2, 0), Y(0, 0), B(-1, -3)
K
x
P
B
Y
12) reflection across y = -1 V(-1, -5), A(-3, -1), P(-2, 0), C(0, -2)
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List all information given by the marks on the diagram.
Find the coordinates of the vertices of each figure after the given transformation.
13)
14) translation: ( x, y) → ( x - 1, y - 3) A(1, 1), Q(1, 3), R(3, 1)
U V T
S Q R
A) SU @ RS VU @ QR TR || SQ B) QRS @ VUS SU @ RS VU @ QR C) QRS @ VUS ST @ TU TR || SQ D) SU @ RS ST @ TU TR || SQ Write if the statement given is indicated by the marks on the diagram. 15) U
V
Y
W X
UV ⊥ UW Find the value of x. 16)
(10 + x)°
17) (6x + 5)° (3x + 4)°
4x°
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18)
19) 300°
(x - 23)° (x - 17)°
64°
(3x + 1)°
20)
21)
123°
(4x + 2)°
(2x + 1)° 34°
22) (6x + 2)°
140°
Find the length indicated. 23) Find TV 3 T
24) m RSH = 15x - 4, m HST = 2 + 30x, and m RST = 178°. Find x. 2x + 4 V
U
H 4x - 1 R
S
T
25) Find m WVU if m WVU = 10x + 4, m WVF = 38°, and m FVU = 8x - 10. W F V U
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Answers to Assignment (ID: 1) 3) rotation 180° about the origin 2) (0, -3) 1) 5 2 4) reflection across y = -x 5) translation: ( x, y) → ( x - 5, y - 4) 6) H'(-1, -3), C'(-2, -5), V'(-4, -4) 7) P'(1, 3), F'(-4, 0), M'(-1, -3), V'(2, -1) 8) K'(2, 0), X'(-2, -3), D'(2, -4), Q'(3, -1) 9) L'(-1, -5), D'(1, 0), J'(2, -2) 10) Y'(-4, -5), P'(-4, -4), K'(-1, 0), B'(1, -4) 11) M'(4, -5), R'(0, -2), Y'(0, 0), B'(3, -1) 13) B 12) A'(-3, -1), P'(-2, -2), C'(0, 0), V'(-1, 3) 15) Not given by the diagram 16) 16 ( ) ( ) ( ) 14) A' 0, -2 , Q' 0, 0 , R' 2, -2 17) 19 18) 21 19) 50 20) 61 21) 8 22) 23 23) 15 24) 4 25) 124°
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