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-1
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Nov 13, 2017

#1
+95866
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(1 ) a.   Rule for a 90° counterclockwise rotation  (x, y) ⇒ (-y, x)

So

J'  =  (-4, 1) ⇒  ( -1, -4)

K'  =  (-4, -2) ⇒  (2, -4)

L' =   (-3, -1) ⇒  (1, - 3)

b. Reflection across y axis  ...rule is  (x, y) ⇒ (-x, y)

J' = (-4,1) ⇒  (4, 1)

K' = (4, -2) ⇒ (-4, -2)

L' = (-3, -1) ⇒ (3, -1)

Nov 14, 2017
#2
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2.     Scale factor (5/3)  =   center of dilation is (2, -2)

Translate  the center of dilation to the origin < -2, 2 >

This gives us   < x - 2, x + 2 >

Apply the scale factor

5/3 < x - 2, x + 2 >  =   < (5/3)x - 10/3, 1.6x + 10/3 >

Shift back again < (5/3)x - 10/3 + 2,  (5/3)x + 10/3 - 2 >

So....the rule is  ( (5/3)x - 4/3, (5/3)x  + 4/3)

S remains the same = S'

T' =  ( (5/3)(-1) - 4/3, (5/3)(-2) + 4/3)  =  ( -3, - 2)

R'  =  ((5/3)(2) - 4/3 ,  (5/3)(2) + 4/3)  =  (2, 14/3 )

Nov 14, 2017
#3
+95866
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3.

1. Given

2. Measure of Angle 1 + Measure of Angle 2  = 90°

4. Defintion of Bisection

5. A bisected angle forms a pair of angles whose measures is equal

6.  Measure of Angle 1 + Measure of Angle 3 = 90°

7.Angle 1 is complementary to Angle 3     ....   Definition of Complementary

Nov 14, 2017