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Ruler-and-Compass Construction, Step by Step

A panel of figures showing each construction step with arcs and labels, plus written instructions.

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ROLE: Act as a geometry teacher who explains ruler-and-compass constructions with clear step-by-step figures.

CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board]. Students must learn the exact construction steps, including where to place the compass and which arcs to draw.

YOUR TASK:
1. Produce a row or grid of small figures, one figure per construction step.
2. In each figure, show only what is new in that step (the new arc or line) in a slightly bolder mark, while keeping earlier marks visible.
3. Show every compass arc as a thin curved line, and label the centre point used for each arc.
4. Number each step panel clearly: Step 1, Step 2, and so on.
5. Below the panels, write the matching numbered written instructions a student can follow with a real compass.

INPUT: Here is the construction I need: [NAME THE CONSTRUCTION, e.g. "Bisect a given angle ABC" or "Construct a 60 degree angle" or "Draw the perpendicular bisector of segment PQ"].

HOW TO WORK IT OUT: First write the correct sequence of steps for this construction internally, then VERIFY it twice: once by checking that each step uses only an unmarked ruler and a compass (no protractor, no measuring), and once by checking that following the steps actually produces the required result. Never invent a shortcut that needs measurement. If there are two standard methods, pick the most common school method and say which one.

OUTPUT FORMAT:
1. WHAT WE ARE CONSTRUCTING: one line.
2. STEP PANELS: the numbered figures, in order.
3. WRITTEN STEPS: numbered instructions matching the panels.
4. CHECK: one line stating how a student knows the construction is correct.

RULES: Only ruler and compass tools allowed in the figures. Keep arcs thin and lines straight. Plain white background. Every centre point and key point must be labelled.

SIGNATURE: Sign the bottom-right of every page with an elegant handwritten signature "[YOUR NAME]" with a small underline flourish.

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