Parallel and Perpendicular Lines — Catchy Geometry Song

An uplifting, classroom-ready geometry song that makes “parallel vs perpendicular” stick. Guide students through slope, right angles, negative reciprocal, and key angle pairs from a transversal. Ideal for high school math, homeschool, GCSE/IGCSE/SAT review, and study sessions. Use it to introduce, reinforce, or review: clear terms, memorable hooks. Parallel & Perpendicular On the grid, on the grid, draw the lines in view, Check the slope, check direction, see what they do. Are they lined up the same, or do they cross through? Parallel or perpendicular—here’s your clue. Parallel lines share direction and pace, Same slope value, same steady trace. Equal distance everywhere in the plane, No point of meeting, that stays the same. Turn a transversal across those tracks, Matching angles appear and the rule holds fast: Corresponding angles match one by one, Alternate interior angles match, and you’re done. Test it: if slopes match, they never meet. Angles line up equal when a cross line greets. Keep the spacing constant, follow that sign— That’s a parallel line. Parallel lines—never meet, same slope, same drive. Equal spacing in a plane, side by side. Perpendicular lines—meet with a right angle true. One slope is the negative reciprocal of the other; that’s your view. Say it: parallel—never meet, same direction they stay. Perpendicular—right angle, crossing one way. Perpendicular lines form a square cornered turn, Two lines meet clean—here’s what to learn: Flip the rise and the run, change the sign, too, That slope relationship tells you they’re new. Cut by a transversal, if one angle’s right, Every corner around locks the measure tight. Same side interior angles add to a straight line, But for perpendicular, that right angle is the sign. Listen up: Horizontal lines—slope is zero, flat and wide. All horizontal lines are parallel; that’s the guide. Vertical lines—slope not defined, straight up tall. All vertical lines are parallel as well, recall. Mix one horizontal with one vertical line, They’re perpendicular—right angle every time. Two non vertical lines with equal slope, that’s set— Parallel confirmed, that’s a solid bet. If one slope’s the flipped opposite sign of the other, Perpendicular locked, case closed, no cover. Parallel lines—never meet, same slope, same drive. Equal spacing in a plane, side by side. Perpendicular lines—meet with a right angle true. One slope is the negative reciprocal of the other; that’s your view. Say it: parallel—never meet, same direction they stay. Perpendicular—right angle, crossing one way. Name the cues, count them through: Same slope—parallel, that’s clue one. Right angle—perpendicular, that’s clue two. Angles from a cross line: Corresponding equal? Parallel is likely. Alternate interior equal? Parallel again. One angle right at the cut? Perpendicular then. Same plane matters—keep that frame, Lines in one flat surface play this game. Skew lines live in space and never align, But they’re not parallel here; they’re on another line. Graph it clear, point by point you see, Direction tells the geometry. Parallel lines—never meet, same slope, same drive. Equal spacing in a plane, side by side. Perpendicular lines—meet with a right angle true. One slope is the negative reciprocal of the other; that’s your view. Lock it in, say it strong, keep the facts in mind: Check slope, check angles—read the lines you find. On the grid, on the grid, now you know the signs: Parallel keep distance; perpendicular forms right lines. Check slope, check angles; let the rules align— You just mastered lines.