Reflecting shapes in horizontal and vertical mirror lines, including on coordinate grids.
Where your child meets this in real life: Understanding reflections in mirrors, symmetrical designs, or folding paper
SEAGReady breaks reflect shapes into 2 steps, taught in order so each skill builds on the last.
Reflect shapes in horizontal and vertical mirror lines on squared paper by counting squares
Reflect shapes in horizontal or vertical mirror lines on coordinate grids, stating the coordinates of reflected vertices
Three free sample questions from our reflect shapes course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Ciara is drawing a symmetrical butterfly on squared paper. Point P on the left wing is 4 squares away from the vertical mirror line. How far from the mirror line should point P be on the right wing?
Answer: A. 4 squares
In a reflection, every point stays the SAME distance from the mirror line. Point P is 4 squares from the line. The reflected point is also 4 squares from the line, just on the other side. Answer: 4 squares
Stuck? Start here: In a reflection, the distance from the mirror line stays the same.
Point A is at (3, 5) on a coordinate grid. It is reflected in a vertical mirror line at x = 5. Point A is 2 units from the line. What are the coordinates of the reflected point A'?
Answer: A. (7, 5)
Point A is at (3, 5). The mirror line is at x = 5. Distance from line: 5 - 3 = 2 units Reflect: go 2 units on the other side of x = 5 New x-coordinate: 5 + 2 = 7 Vertical mirror: y stays the same = 5 Answer: A' = (7, 5)
Stuck? Start here: For a vertical mirror line, the y-coordinate stays the same.
Sean is reflecting a shape in a vertical mirror line on squared paper. Point X is 2 squares to the left of the mirror line. Where will the reflected point X' be?
Answer: A. 2 squares to the right of the line
Point X is 2 squares to the LEFT of the mirror line. In a reflection, the point moves to the other side but stays the same distance from the line. Count 2 squares to the RIGHT of the line. Answer: 2 squares to the right of the line
Stuck? Start here: A reflection flips a shape to the other side of the mirror line.
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Oisin is making a symmetrical butterfly design on squared paper. He has drawn the left wing and needs to reflect it in the vertical mirror line to complete the butterfly.
Point A on the left wing is 3 squares from the mirror line. Where should point A go on the right wing?
reflect point 3 squares from line
Step 1 of 4
Oisin is making a symmetrical butterfly design on squared paper. He has drawn the left wing and needs to reflect it in the vertical mirror line to complete the butterfly.
Point A on the left wing is 3 squares from the mirror line. Where should point A go on the right wing?
Point A on the right wing is 3 squares from the mirror line, on the opposite side.
The key insight: In a reflection, every point stays the SAME distance from the mirror line - just on the opposite side!
Watch out: Placing the reflected point 6 squares from the original. The distance is measured from the mirror LINE, not from the original point. Count to the line, then count the same again on the other side.
These are the misconceptions we see most often in reflect shapes, including the ones our practice questions are specifically designed to catch.
Struggling with reflect shapes? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.