Triangles A Q R and A K P share point A. Triangle A Q R is rotated up and to the right for form triangle A Q R. Which rigid tran
sformation would map ΔAQR to ΔAKP? a rotation about point A a reflection across the line containing AR a reflection across the line containing AQ a rotation about point R
2 answers:
Answer:
A rotation about point A
Step-by-step explanation:
Well, I suppose you meant a <em>Triangle AQR is rotated up and to the right to form Triangle AKP. (</em>Or... AKP to AQR...makes more sense)
In this Geometric Transformation we must choose, Rotation. You must choose an angle and the direction Clockwise/Anticlockwise.
In this case, the best choice would be a rotation, since a reflection would make both triangles sharing not only a point, but also a line segment.
If it was rotated about a point then this triangle would share a point R, not A.
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<u>Given</u>:
Given that the measure of ∠CDR = 85°
We need to determine the measure of and
<u>Measure of arc RC:</u>
Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.
Thus, we have;
Substituting the values, we get;
Thus, the measure of is 85°
<u>Measure of arc CBR:</u>
We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.
Thus, we have;
Substituting the values, we have;
Thus, the measure of is 275°