Point A has coordinates (2, 3). It undergoes a translation by vector T = (-4, 5) followed by an enlargement by scale factor 2 with center at origin. What are the final coordinates of the image point?
Answer and explanation
Correct answer: B. (-4, 16)
- Step 1: Apply translation: A' = (2 + (-4), 3 + 5) = (-2, 8). Step 2. Apply enlargement with scale factor 2 from origin: A'' = 2 × (-2, 8) = (-4, 16). Answer: (-4, 16). Why not the others: (-2, 8) is the translated point before enlargement; (4, -16) negates coordinates; (-8, 16) multiplies x by 4.
Practise more Geometry, Trigonometry, Statistics and Probability.
Free questions with an explanation for every one, and full timed NECO Senior School Certificate Examination mock tests.
More Geometry, Trigonometry, Statistics and Probability questions
- An arc of a circle subtends an angle of 140° at the center of the circle. What angle does this same arc subtend at any point on the remainin…
- In a cyclic quadrilateral ABCD, the interior angle ∠A measures (3x - 10)° and the opposite interior angle ∠C measures (2x + 40)°. What is th…
- A tangent line PT touches a circle at point T, and a chord TA is drawn such that ∠PTA = 55°. If point B lies on the major arc such that tria…
- If each interior angle of a regular polygon measures 144°, how many sides does the polygon possess?
- Calculate the straight-line distance between the Cartesian points P(1, -2) and Q(7, 6).
- Find the coordinates of the midpoint of the line segment joining the points A(-4, 7) and B(2, -3).