The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive
rsity on the map with a cross
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Answer:
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Step-by-step explanation:
The map isn't available, but, one can draw this bearings with the descriptions given
Angles for bearings are usually drawn, reading from the north direction.
A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.
For the sketch on the map.
On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.
Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.
Wherever the line from the hospital meets the line from the stadium, is where the University is located.
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Given:
Vertices of ABCD are A(-4,4), (-2,2), C(-2,-1) and D(-4,1).
Vertices of A'B'C'D' are A'(3,-4), B'(5,-2), C'(5,1) and D'(3,-1).
To find:
The sequence of transformations that changes figure ABCD to figure A'B'C'D'.
Solution:
Part A:
The figure ABCD reflected across the x-axis, then
Using this rule, we get
Similarly, the other points are .
Then figure translated 7 units right to get A'B'C'D'.
Similarly, the other points are .
Therefore, the figure ABCD reflected across the x-axis and then translated 7 units right to get A'B'C'D'.
Part B:
Reflection and translation are rigid transformation, it means shape and size of figures remains same after reflection and translation.
Therefore, the two figures congruent.
