by BlastRoom
Identify compass-and-straightedge steps for perpendiculars, bisectors, and parallels.
#geometry

20 questions
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More correct answers pulls the rope your way.
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Point P lies on line l. An arc centered at P cuts l at A and B. Equal-radius arcs centered at A and B intersect at C above l. What line completes the perpendicular through P?

Point M lies on line n. An arc centered at M meets n at R and S. Same-radius arcs from R and S meet at T above n. The straightedge should connect which two points?

On line g, point X is the required point. A compass marks Y and Z on g so XY = XZ. Equal arcs from Y and Z meet at W. What line is perpendicular to g at X?

Line h contains point D. An arc centered at D hits h at E and F. Matching arcs from E and F cross at G. Which line should be drawn to finish the construction?

Point K lies on line p. A compass arc centered at K marks L and M on p. Equal arcs from L and M meet at N. Which construction line should be drawn through K?

Point P is not on line l. An arc centered at P crosses l at A and B. Equal arcs from A and B meet at C on the opposite side of l. What line is perpendicular to l?

Line m and point Q off m are given. A compass centered at Q marks R and S on m. Same-radius arcs from R and S meet at T below m. To drop a perpendicular from Q to m, what should be drawn?

From exterior point A to line k, a wide arc centered at A hits k at B and C. Equal arcs from B and C meet at D opposite A. Which pair should the straightedge connect?

Point V is off line r. An arc centered at V cuts r at W and X. Equal arcs centered at W and X intersect at Y on the far side of r. The perpendicular to r through V is what line?

For line s and point N not on it, an arc centered at N meets s at J and K. Equal arcs from J and K meet at L on the other side. Which line crosses s at a right angle?

Segment AB is given. Equal-radius arcs centered at A and B intersect at P and Q. What line is the perpendicular bisector of AB?

For segment CD, arcs with equal radius greater than half CD are drawn from C and D. They meet at R and S. What should be drawn to bisect CD at 90 degrees?

Segment EF is given. Same-radius arcs centered at E and F cross above and below the segment at G and H. Which final line cuts EF into two congruent parts?

In constructing the perpendicular bisector of segment MN, arcs centered at M and N meet at A and B. Which two points should the straightedge connect?

Segment XY has arcs from X and Y using the same compass width. The arcs intersect at C and D. What line is perpendicular to XY and passes through its midpoint?

Line l and point P not on l are given. A transversal through P meets l at Q. The angle at Q is copied at P as a corresponding angle. What is the final line through P?

To construct a parallel to line m through point R, a slanted line through R meets m at S. After copying the angle formed at S onto R, which line is drawn?

Line t and exterior point A are given. Transversal AB meets t at B. You copy the angle between t and AB to have vertex A and side AB. What does the new side of the copied angle become?

A construction begins with line g and point C not on g. A transversal from C meets g at D, and an angle at D is copied at C. What line is constructed?

For a parallel through point H to line k, transversal HJ is drawn to k. After copying the angle at J onto H, where should the straightedge draw the final line?

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Same question on every screen. Fastest wins.

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Geometry Formulas
40 questions