This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the completed patterns and descriptions: 1. Complete the patterns and then describe each. a) Completion: Continue the alternating sequence of squares. The first type has triangles forming a diamond in the center. The second type has triangles forming an 'X' shape. Description: This pattern is a tessellation of squares, each divided into four triangles, alternating between a central diamond design and an X-shape design. b) Completion: Continue the tessellation of hexagons surrounded by squares, and squares surrounded by hexagons. Description: This pattern is a tessellation of regular hexagons and squares. c) Pattern 1 (Blue/white checkerboard): Completion: Continue the checkerboard pattern by alternating blue and white squares. Description: A checkerboard pattern of blue and white squares. Pattern 2 (Blue/white vertical stripes): Completion: Continue the pattern of alternating blue and white vertical columns. Description: A pattern of vertical stripes with alternating blue and white columns. Pattern 3 (Yellow shape on white grid): Completion: Continue the repeating 'W' or 'M' shape using yellow squares on the grid. Description: A repeating 'W' or 'M' shape formed by yellow squares on a white grid. Pattern 4 (Purple/white rectangles): Completion: Continue the checkerboard pattern by alternating purple and white rectangles. Description: A checkerboard pattern of purple and white rectangles. d) Pattern 1 (Green/pink checkerboard): Completion: Continue the checkerboard pattern by alternating green and pink squares. Description: A checkerboard pattern of green and pink squares. Pattern 2 (Yellow honeycomb with bees): Completion: Continue the tessellation of yellow hexagons. Description: A tessellation of yellow hexagons, resembling a honeycomb, with bees on some hexagons. Pattern 3 (Green/red triangles): Completion: Continue the tessellation of green and red triangles, ensuring no gaps. Description: A tessellation of green and red triangles filling space without gaps. 2. Complete the sentences to describe the patterns. a) i. The 10 squares have been slid along to make up the first row. ii. The pattern starts with one pink square and then two green* squares. iii. The pattern is repeated without gaps*. b) i. The first row starts with purple* rectangle. ii. The next five rectangles will be white*. iii. The pattern is repeated without gaps*. c) i. 7 yellow* hexagons are slid along to make the first row. ii. All the hexagons are yellow*. iii. The pattern is repeated without gaps*. d) i. 9 triangles* are slid across. ii. The green triangles have been flipped and used to fill the gaps* between the red triangles. iii. The pattern is repeated without gaps*. Drop the next question! 📸

