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

2022
Views:

146

Pages:

1
Author:

Enriquearrimadeo2

Class Review 1. Name the quadrant and vertex. Graph: A coordinate plane with a point marked in each quadrant. Answers: Quadrant I: (3, 2) Quadrant II: (-3, 2) Quadrant III: (-3, -2) Quadrant IV: (3, -2) 2. The vertices of ΔABC are A(-2, 4), B(3, 1), C(-1, 3). Find the coordinates of A'B'C' after a translation of (x, y) → (x + 6, y - 4). A'(-2 + 6, 4 - 4) = A'(4, 0) B'(3 + 6, 1 - 4) = B'(9, -3) C'(-1 + 6, 3 - 4) = C'(5, -1) 3. Find the components of the vector for the translation. (x, y) → (x + 6, y + 4) Components of the vector: (6, 4) 4. What are the vertices of the image after a reflection in the y-axis? Original vertices: A(-2, 4), B(3, 1), C(-1, 3) Reflected vertices: A'(2, 4), B'(-3, 1), C'(1, 3) 5. Describe whether the figure has line symmetry. Diagram: A star shape is shown. Answer: 8 lines of symmetry 6. Describe the congruence transformation that maps ΔABC to ΔA'B'C'. Diagram: Two triangles are shown, with corresponding vertices labeled. Answer: Translation (x, y) → (x + 3, y - 2) 7. Find the coordinates of the vertices of the image after a translation of (x, y) → (x - 2, y + 5). Original vertices: J(-1, 1), K(2, 3), L(4, 1) Translated vertices: J'(-3, 6), K'(0, 8), L'(2, 6) 8. Find the coordinates of the vertices of the image after a reflection in the x-axis. Original vertices: J(-1, 1), K(2, 3), L(4, 1) Reflected vertices: J'(-1, -1), K'(2, -3), L'(4, -1) 9. Rotation about the origin 90° Original vertices: J(-1, 1), K(2, 3), L(4, 1) Rotated vertices: J'(-1, -1), K'(-3, 2), L'(-1, 4) 10. Reflection in the line y = x Original vertices: J(-1, 1), K(2, 3), L(4, 1) Reflected vertices: J'(1, -1), K'(3, 2), L'(1, 4)