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Complete the symmetrical patterns using the mirror line as a guide.

Symmetrical patterns worksheet with red shapes and mirror lines for completing the other half of each pattern.

Symmetrical patterns worksheet with red shapes and mirror lines for completing the other half of each pattern.

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Show Answer Key & Explanations Step-by-step solution for: Symmetry 2 - Geometry (Shape) by URBrainy.com
To solve this problem, we need to complete the symmetrical patterns. This means we act like a mirror. Whatever is on the left side of the "Mirror line" must be copied exactly on the right side, but flipped horizontally (like looking in a mirror).

Here is the step-by-step solution for each pattern:

Pattern 1 (Top Left)
* Left Side: There is a horizontal bar of 3 red squares in the second row from the top. There is also one red square in the fourth row, located 2 spaces away from the mirror line.
* Right Side Solution:
* Draw a horizontal bar of 3 red squares in the second row, starting right next to the mirror line.
* Draw one red square in the fourth row, 2 spaces away from the mirror line.
* *Result:* It looks like a wide "T" shape or a gate.

Pattern 2 (Top Right)
* Left Side: There are two separate red squares. One is in the third row (touching the mirror line). The other is in the fifth row (2 spaces away from the mirror line).
* Right Side Solution:
* Draw a red square in the third row, touching the mirror line.
* Draw a red square in the fifth row, 2 spaces away from the mirror line.
* *Result:* It creates a diagonal zig-zag pattern across the center.

Pattern 3 (Second Row Left)
* Left Side: There is a vertical column of 3 red squares in the third column from the left.
* Right Side Solution:
* Mirror this column to the right side. You will have a vertical column of 3 red squares in the third column from the right (which is the same distance from the center).
* *Result:* Two parallel vertical lines with a gap in the middle.

Pattern 4 (Second Row Right)
* Left Side: There is a diagonal line of 3 squares going down and away from the mirror line. The top square touches the mirror line in the second row. The middle square is in the third row (1 space out). The bottom square is in the fourth row (2 spaces out).
* Right Side Solution:
* Copy these positions to the right. Top square touches the mirror line in the second row. Middle square is in the third row (1 space out). Bottom square is in the fourth row (2 spaces out).
* *Result:* An "X" shape centered on the mirror line.

Pattern 5 (Third Row Left)
* Left Side: A diagonal line of 3 squares. The top one is in the second row (2 spaces from the line). The middle one is in the third row (1 space from the line). The bottom one is in the fourth row (touching the line).
* Right Side Solution:
* Mirror these spots. Top one in the second row (2 spaces from the line). Middle one in the third row (1 space from the line). Bottom one in the fourth row (touching the line).
* *Result:* Another "X" shape, similar to the previous one but shifted slightly.

Pattern 6 (Third Row Right)
* Left Side: A shape made of 4 squares. There is a vertical pair in the second column from the mirror line (rows 2 and 3). There is one square in the third row touching the mirror line. There is one square in the fourth row, 2 spaces from the mirror line.
* Right Side Solution:
* Draw a vertical pair in the second column from the mirror line on the right (rows 2 and 3).
* Draw one square in the third row touching the mirror line.
* Draw one square in the fourth row, 2 spaces from the mirror line.
* *Result:* A symmetrical blocky shape.

Pattern 7 (Bottom Left)
* Left Side: A diagonal line of 3 squares. Top one is in the third row (2 spaces from line). Middle one is in the fourth row (1 space from line). Bottom one is in the fifth row (touching the line).
* Right Side Solution:
* Mirror these positions. Top one in the third row (2 spaces from line). Middle one in the fourth row (1 space from line). Bottom one in the fifth row (touching the line).
* *Result:* A small "X" shape near the bottom.

Pattern 8 (Bottom Right)
* Left Side: An "L" shape lying on its side. There is a vertical column of 3 squares in the second column from the mirror line (rows 2, 3, and 4). There is one square in the fourth row touching the mirror line.
* Right Side Solution:
* Draw a vertical column of 3 squares in the second column from the mirror line on the right (rows 2, 3, and 4).
* Draw one square in the fourth row touching the mirror line.
* *Result:* A large plus sign (+) or cross shape.

Final Answer:
To complete the worksheet, you must draw the mirror image of the red squares on the right side of the dotted line for each box.
1. Top-Left: Draw a horizontal bar of 3 squares in row 2 and a single square in row 4 (2 units from center).
2. Top-Right: Draw a square in row 3 (touching center) and a square in row 5 (2 units from center).
3. Mid-Left: Draw a vertical column of 3 squares in the column symmetric to the left one.
4. Mid-Right: Draw a diagonal matching the left side to form an 'X'.
5. Lower-Mid-Left: Draw a diagonal matching the left side to form an 'X'.
6. Lower-Mid-Right: Mirror the blocky shape so it is symmetrical.
7. Bottom-Left: Mirror the small diagonal to form a small 'X'.
8. Bottom-Right: Mirror the vertical bar and the single square to form a large cross/plus sign.
Parent Tip: Review the logic above to help your child master the concept of symmetrical pattern worksheet ks1.
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