What is the image point of (-3,4)after the transformation D2∘R90∘
1 answer:
A composite transformation consists of two or more transformations with a procedure of starting from the rightmost transformation
The location of the image of the point (-3, 4), after the transformation is <u>(-8, -6)</u>
Reason:
The given coordinate is (-3, 4)
The required transformation is
Solution:
A rotation transformation of (x, y) 90° gives (-y, x)
Therefore;
The rotation of the point (-3, 4) 90° counterclockwise gives (-4, -3)
A transformation of D2 is a dilation by a scale factor of 2
Therefore; D2(-4, -3) gives 2×(-4, -3) = (-8, -6)
Which gives;
The image of (-3, 4), after the transformation → (-8, -6)
Learn more about composite transformations here;
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Answer:
The altitude will begin at angle D and go in a straight line downwards.
The perpendicular bisector will be a straight line going from one corner to the other corner, not directly downwards.
Answer:
a. See Attachment 1
b.
c.
d.
Step-by-step explanation:
Calculating PT
To calculate PT, we need to get distance OT and OP
Calculating OT;
We have to consider angle 50, distance OH and distance OT
The relationship between these parameters is;
Multiply both sides by 20
Calculating OP;
We have to consider angle 30, distance OH and distance OP
The relationship between these parameters is;
Multiply both sides by 20
(Approximated)
--------------------------------------------------------
Calculating the distance between H and the top of the tower
This is represented by HT
HT can be calculated using Pythagoras theorem
Substitute 20 for OH and
Take Square Root of both sides
<em>(Approximated)</em>
--------------------------------------------------------
Calculating the position of H
This is represented by OH
See Attachment 2
We have to consider angle 50, distance OH and distance OT
The relationship between these parameters is;
Multiply both sides by OT
Substitute
<em> (Approximated)</em>
