What set of reflections would carry kite ABCD onto itself?
2 answers:
Answer:
Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.
B is correct.
Step-by-step explanation:
We are given a kite ABCD. We need to find set of reflection would carry same figure.
Original figure in II quadrant.
Transform Original figure to Figure 1: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In first quadrant)
Transform Figure 1 to Figure 2: Reflection across y-axis T(x,y)→(x,-y). Please see the attachment. (In IV quadrant)
Transform Figure 2 to Figure 3: Reflection across y-axis T(x,y)→(-x,y). Please see the attachment. (In III quadrant)
Transform Figure 3 to Figure 4: Reflection across x-axis T(x,y)→(x,-y). Please see the attachment. (In II quadrant)
We can see figure 4 is equivalent to original figure.
Thus, Set of reflections would carry same figure y-axis, x-axis, y-axis, x-axis.
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Answer:
The measure of anle MNP is
- m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.
Then, you can use the theorem:
- the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:
- m ∠ MNP = (x - y)/2
