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DiKsa [7]
3 years ago
7

Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transfo

rmed polygons to their correct values

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)

Step-by-step explanation:

See attachment for the figure.

<u>For D'</u>, rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).  

For C'', rotating the point (1, 3) 90° clockwise.  This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).

For A''', rotating the point (-4, 2) 180° clockwise.  This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).

For B'', rotating the point (-2, 4) 270° counterclockwise.  This is the similar as rotating the point 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).

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5 0
3 years ago
In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​
adoni [48]

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

5 0
3 years ago
Find the midpoint of (-8,-10) and (8,0)
Allisa [31]

Answer:

(0,-5)

Step-by-step explanation:

You just have to find the middle of each one

From -8 to 8 there are 16 numbers so you divide 16 by 2 which would be 8 and add that to -8 giving you 0

From -10 to 0 there are 10 numbers divided by 2 is 5 so you add 5 to -10 giving you -5

This makes your midpoint (0,-5)

6 0
2 years ago
Select all statements below that are True or False
Katyanochek1 [597]

Answer:

i d k sorry

Step-by-step explanation:

i should try quizlet it helps me alot

6 0
2 years ago
A big flat screen tv is normally $875. This Friday it is on sale for 5% off. How much will the tv cost after the discount? *
Aleonysh [2.5K]

Answer:

831.25

Step-by-step explanation:

875 × 0.95

8 0
3 years ago
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