If the measure of arc DEF is 248°, what is the measure of ∡DEF?
2 answers:
the complete question in the attached figure
we know that
angle < DEF is an inscribed angle.
An inscribed angle is an angle with its vertex on the circle which is formed by two intersecting chords.
The inscribed angle measures half of the arc it comprises
the arc it comprises is the arc DCF
the arc DCF is equal to
Hence
∡DEF is equal to arc DCF/2
the answer is
∡DEF=
°
we know that
angle < DEF is an inscribed angle.
An inscribed angle is an angle with its vertex on the circle which is formed by two intersecting chords.
The inscribed angle measures half of the arc it comprises
the arc it comprises is the arc DCF
the arc DCF is equal to
Hence
∡DEF is equal to arc DCF/2
the answer is
∡DEF=
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Answer:
<h2>A 90° clockwise rotation about the origin and a translation of 7 units down.</h2>Step-by-step explanation:
First of all, we need to define the image and pre-image.
- The pre-image is the rectangle ABCD, before the transformation.
- The image is the rectangle A'B'C'D', after the transformation.
Second, let's write down the coordinates of each rectangle.
ABCD coordinates:
A(-6,5)
B(-1,5)
C(-1,1)
D(-6,1)
A'B'C'D' coordinates:
A'(5,-1)
B'(5,-6)
C'(1,-6)
D'(1,-1)
The first rule we need to apply is the 90° clockwise rotation which is
Which gives us (5,6), (5,1), (1,1), (1,6).
Then, we use the 7 units-down rule
Which gives us (5,-1), (5,-6), (1,-6) and (1,-1).
Therefore, the right answer is the third choice.