In this rotation WXY is mapped to CBA. if QON = 55, then XOB measures _____.
2 answers:
Answer: Measure of ∠XOB is 110°.
Step-by-step explanation:
Since we have given that
In this rotation , WXY is mapped to CBA.
According to mapping, WXY is mapped to TSR.
So, X is corresponds to S
So, it will form equal angle say ∠1.
Similarly,
TSR is mapped to CBA.
So, S is correspond to B forming equal angle say ∠2.
As shown in the figure.
Now, we have already given that
∠1+∠2=55°
so, ∠1+∠1+∠2+∠2=∠XOB
2(∠1+∠2)=∠XOB
2×55°=∠XOB
110°=∠XOB.
Hence, Measure of ∠XOB is 110°.
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Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
