triangle PQR is translated 3 units ot the right and reflected over the line y=-1. The result is triangle P'Q'R'. Which is NOT true?
1) PQ = P'Q'
2)PQ/RQ = P'Q'/R'Q'
3)PQ + QR greater than or equal to R'P'
4)m angle P + m angle Q is greater than or equal to m angle R'
Which one would it be? 3?
To determine which statement is not true, let's analyze each statement:
1) PQ = P'Q': When a figure is translated horizontally, all corresponding sides maintain the same length. Therefore, this statement is true.
2) PQ/RQ = P'Q'/R'Q': When a figure is reflected over a line, the distances from points to their image points are equal and in the same ratio. Therefore, this statement is true.
3) PQ + QR ≥ R'P': This statement compares the sum of two sides of the original triangle (PQ and QR) with the length of a side of the transformed triangle (R'P'). Based on the given information, we cannot determine if this statement is true or false. Therefore, it is possible that this statement could be true, making it not the correct answer.
4) m∠P + m∠Q ≥ m∠R': This statement compares the sum of two angles of the original triangle (m∠P and m∠Q) with the measure of an angle of the transformed triangle (m∠R'). Based on the information given, we cannot determine the relationship between these angles. Therefore, it is possible that this statement could be true, making it not the correct answer.
Based on the analysis, it is possible that statement 3 or statement 4 is not true. However, since we cannot determine a clear answer between the two, the correct answer is undetermined.