4^4square root 2 is the answer
Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
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Answer: 21
Step-by-step explanation: We are given that angle ABC is dilated with center P.
Scale factor=3
Angle A'B'C' is formed after dilation of angle ABC.
Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.
After dilation, the size of figure changes.
The initial figure and the figure obtained after dilation are similar in shape.
When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.
The measure of angle ABC=21'
After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'
Because the shape does not change in dilation transformation.
