University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

106

Pages:

3
Author:

pasiweb2yv

In your own words, write the meaning of each vocabulary term. Transformation: Moving or changing a figure/shape in some way. Translation: Move or "slide" version of the original. Vector: A ray showing direction and magnitude. Component Form: How we write the vector <3, 5> Preimage: The original Image: The new figure/shape. Translation Rule: (x, y) → (x + 3, y + 5) Core Concepts Vectors A diagram shows a vector. The initial point (starting point) of the vector is P, and the terminal point (ending point) is Q. The vector is named PQ, which is read as "vector PQ." The horizontal component of PQ is 5, and the vertical component is 3. The component form of a vector combines the horizontal and vertical components. So, the component form of PQ is (5, 3). Translations A translation moves every point of a figure the same distance in the same direction. More specifically, a translation maps, or moves, the points P and Q of a plane figure along a vector (a, b) to the points P' and Q' so that one of the following statements is true: PP' = QQ' and PP' || QQ' PP' = QQ' and PP' and QQ' are collinear. 4.1 Extra Practice Instructions: In Exercises 1-3, name the vector and write its component form. 1. Vector: MN Component Form: <6, 4> Note: The arrow on the vector is pointing right and up. 2. Vector: BA Component Form: <-5, 1> Note: The arrow on the vector is pointing left and up. 3. Vector: KJ Component Form: <-3, 5> Note: The arrow on the vector is pointing left and up. Instructions: In Exercises 4-7, the vertices of ΔABC are A(1, 2), B(5, 1), C(5, 4). Translate ΔABC using the given vector. Graph ΔABC and its image. 4. Vector: <4, 0> Graph: The triangle is shifted 4 units to the right. 5. Vector: <2, -5> Graph: The triangle is shifted 2 units to the right and 5 units down. 6. Vector: <0, -5> Graph: The triangle is shifted 5 units down. 7. Vector: <3, -3> Graph: The triangle is shifted 3 units to the right and 3 units down.