HomeDraw the Other Half: Mirror Symmetry Practice Free original lessons
Draw the Other Half: Mirror Symmetry Practice
Learn to complete half-pictures using a mirror axis. Covers grid counting, reflection rules, and self-checking with varied subjects and clear rubrics.
Free lesson
Four exercises
Worked answers
Object Drawing Lessons
Completing the other half of a picture is a practical way to apply mirror symmetry. You will learn to locate the mirror axis, count grid squares from the axis to each feature, and place the matching feature the same distance on the opposite side. The method works for any subject because it depends on position, not on artistic style. You will practice with simple shapes, a leaf, a house, and a boat. Each task includes a reasoning path and a check method so you can verify your own work. A convention for line placement and a rubric that allows valid stylistic variation are provided. All measurements use grid squares as the unit. Numerical examples are hypothetical and should be replaced by measurements of your actual materials.
Practice materials: Printable downloads are not available for this lesson yet. Use the instructions and four exercises below.
Locating the mirror axis and setting up the grid
Every mirror-half task has a straight line called the mirror axis. Features on one side are reflected to the other side at equal distance from this line. Before drawing, identify the axis and mark it clearly. Then overlay or imagine a square grid with one grid line exactly on the axis. Count squares outward from the axis to each key point on the given half. The reflected point lies the same number of squares from the axis on the opposite side, at the same height.
Use a consistent unit: one grid square. If your paper has no printed grid, draw one with squares of equal size and label the axis column as zero. Points on the axis stay on the axis. Points one square away become one square away on the other side. This counting method removes guesswork and makes your drawing checkable.
- Draw or identify the mirror axis as a straight vertical line.
- Place a square grid so one grid line lies exactly on the axis.
- Mark the axis column as zero and count squares outward to each feature on the given half.
- Record each feature as a pair: distance from axis and height above the baseline.
- Plot the reflected feature at the same distance on the opposite side and the same height.
- Connect reflected points in the same order as the original to complete outlines.
Reflecting points, edges, and curves
Straight edges reflect as straight edges. A corner three squares from the axis and two squares above the baseline becomes a corner three squares from the axis on the other side and two squares above the baseline. Curves reflect as curves with the same shape but reversed direction. If a curve bulges toward the axis on the given half, its reflection bulges toward the axis on the completed half. Count several points along the curve, reflect each one, then join them smoothly.
Line placement convention: draw outlines with a single continuous line of even thickness. Place the line so that it passes through the centers of the grid squares you counted. Do not add shading or texture unless the task asks for it. This convention makes comparisons fair and keeps the focus on position. Valid alternatives include slightly different line thickness or small stylistic choices, provided the counted positions match.
- Reflect each corner by counting squares from the axis and matching the height.
- Reflect curves by sampling at least three points along the curve and reflecting each point.
- Join reflected points in the same order as the original outline.
- Keep line thickness even and pass lines through counted square centers.
- Check that every reflected point is the same distance from the axis as its original.
Checking your completed half
A reliable check is to fold the paper along the mirror axis. If the two halves align when folded, the positions match. Because paper thickness and fold accuracy vary, also use the grid count: for each feature, measure the distance from the axis on both sides and confirm they are equal. Check heights against the baseline. Confirm that points on the axis remain on the axis.
Another check is to list three key features and their distances. For example, a roof peak might be zero squares from the axis, a window corner two squares, and a door edge four squares. After drawing, measure the same features on the completed half. Any mismatch indicates a counting error. Correct the position rather than redrawing the whole picture.
- Fold along the axis and compare alignment.
- Measure distance from the axis for at least three features on each side.
- Confirm heights above the baseline match for each reflected feature.
- Verify that axis points did not move off the axis.
- Correct any mismatched feature by recounting squares from the axis.
Worked example
A simple house half is given on the left of a vertical mirror axis. The roof peak is on the axis. A window corner is two squares left of the axis and three squares above the baseline. A door edge is four squares left of the axis and zero squares above the baseline. Complete the right half using grid counting.
Worked answer
The roof peak stays on the axis. The reflected window corner is two squares right of the axis and three squares above the baseline. The reflected door edge is four squares right of the axis and zero squares above the baseline. Connect the reflected points to form the right half of the roof, window, and door. Check by folding along the axis and by measuring distances: two squares on each side for the window corner, four squares on each side for the door edge, and zero for the roof peak.
Four practice exercises
Exercise 1
A leaf half is given on the left of a vertical axis. The stem base is on the axis at the baseline. The leaf tip is on the axis six squares above the baseline. The widest point of the leaf is three squares left of the axis and four squares above the baseline. Complete the right half.
Show answer and check
The stem base stays on the axis at the baseline. The leaf tip stays on the axis six squares above the baseline. The reflected widest point is three squares right of the axis and four squares above the baseline. Draw a smooth curve from the stem base through the reflected widest point to the leaf tip, matching the curve on the left.
Why: Axis points do not move. The widest point is reflected by counting three squares to the right at the same height of four squares. The curve is reflected by sampling the widest point and joining smoothly.
Check: Fold along the axis and compare. Measure three squares from the axis to the widest point on each side and confirm both are four squares above the baseline.
Exercise 2
A boat half is given on the left of a vertical axis. The mast top is on the axis five squares above the baseline. The hull front corner is four squares left of the axis at the baseline. The sail corner is two squares left of the axis and three squares above the baseline. Complete the right half.
Show answer and check
The mast top stays on the axis five squares above the baseline. The reflected hull front corner is four squares right of the axis at the baseline. The reflected sail corner is two squares right of the axis and three squares above the baseline. Connect the hull corner to the axis at the baseline and draw the sail from the mast to the reflected sail corner.
Why: Each feature is reflected by counting squares from the axis and keeping the same height. The hull edge and sail are straight lines between reflected points.
Check: Measure four squares from the axis to each hull corner and two squares to each sail corner. Confirm heights: zero for hull corners, three for sail corners, five for mast top.
Exercise 3
A simple flower half is given on the left of a vertical axis. The stem is on the axis. The center of the flower is on the axis four squares above the baseline. One petal tip is three squares left of the axis and five squares above the baseline. Another petal tip is one square left of the axis and two squares above the baseline. Complete the right half.
Show answer and check
The stem and flower center stay on the axis. The reflected first petal tip is three squares right of the axis and five squares above the baseline. The reflected second petal tip is one square right of the axis and two squares above the baseline. Draw petals from the center to each reflected tip, matching the petal shapes on the left.
Why: Axis features remain fixed. Petal tips are reflected by counting squares from the axis and matching heights. Petal outlines are curves sampled from the center to each tip.
Check: Fold along the axis. Measure three squares to the first petal tip and one square to the second on both sides. Confirm heights of five and two squares above the baseline.
Exercise 4
A simple arrow half is given on the left of a vertical axis. The arrow shaft lies on the axis from the baseline to four squares above it. The arrowhead outer corner is two squares left of the axis and four squares above the baseline. The arrowhead inner corner is one square left of the axis and three squares above the baseline. Complete the right half.
Show answer and check
The shaft stays on the axis. The reflected outer corner is two squares right of the axis and four squares above the baseline. The reflected inner corner is one square right of the axis and three squares above the baseline. Connect the shaft top to the reflected outer corner and then to the reflected inner corner to complete the arrowhead.
Why: The shaft is on the axis and does not move. The arrowhead corners are reflected by counting squares from the axis and keeping heights. Straight lines connect the reflected points.
Check: Measure two squares to the outer corner and one square to the inner corner on each side. Confirm heights of four and three squares above the baseline. Fold along the axis to compare alignment.
Common mistakes
- Measuring distance from the edge of the paper instead of from the mirror axis. Mark the axis as zero and count squares outward from it for every feature.
- Reflecting the height incorrectly, such as placing a feature higher or lower than the original. Record height above the baseline for each feature and match it exactly on the other side.
- Changing the shape of a curve so it bulges the wrong way. Sample at least three points on the curve, reflect each point, and join them in the same order.
- Moving a point that lies on the axis to one side. Keep all axis points on the axis; their distance from the axis is zero.
Self-check rubric
- Mirror axis is correctly identified and used as the zero line.
- At least three key features are reflected at equal distance from the axis.
- Heights above the baseline match between the given half and the completed half.
- Points on the axis remain on the axis.
- Curves are reflected by sampling points and joining them in the same order.
- Line placement follows the stated convention: even thickness and lines through counted square centers.
- Valid stylistic alternatives are accepted if counted positions match.
Questions and answers
Do I need to draw perfectly straight lines?
No. Use the line placement convention: even thickness and lines through counted square centers. Small stylistic differences are acceptable if positions match.
What if my subject has no straight edges?
Count points along the curve and reflect each point. Join the reflected points smoothly. The counting method works for any shape.
How many grid squares should I use?
Choose a square size that lets you count features easily. The number of squares is a hypothetical example; measure your actual paper and use consistent squares.
Can I use a ruler instead of a grid?
Yes. Measure distance from the axis in the same unit on both sides. Keep the unit consistent, such as centimeters, and label your measurements.