by BlastRoom
Practice identifying compass-and-straightedge steps for copying and bisecting segments and angles.
#geometry

24 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
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Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
Segment AB is given, and a ray starts at C. The compass is set to AB, and an arc centered at C crosses the ray at D. What result has been made?

To copy segment PQ onto a ray with endpoint R, the compass opening is first set to PQ. What is the next compass step?

The figure shows segment MN and a ray from point T. To copy MN onto the ray, a student sets the compass to the distance MT instead of MN, swings an arc centered at T, and marks point U where it crosses the ray. Which statement is true?

A construction must make KL congruent to XY on a ray starting at K. Before drawing the transfer arc, what compass opening is needed?

A copy of segment UV is being made from point W on a ray. An arc centered at W meets the ray at X after the compass opening was set to UV. What segment is the copy?

Segment EF is given, and ray GH starts at G. The compass point is on E and the pencil is on F to set the opening. Without changing it, where should the compass point go next?

To copy angle ABC onto a ray with endpoint E, an arc centered at B crosses BA at P and BC at Q. A matching arc is drawn from E. What distance is copied onto the new arc?

To copy angle ABC onto a ray with endpoint E, matching arcs have been drawn from B and E. The distance between the original arc intersections locates F on the new arc. What comes next?

To copy angle RST onto a ray with endpoint E, an arc is struck from vertex S. Why must the arc struck from E use the same radius?

A student copying angle DEF uses the distance from E to one arc intersection instead of the distance between the two arc intersections. What part is not correctly copied?

To begin copying angle XYZ onto a new ray with endpoint A, which first arc should be drawn on the original angle?

Angle ABC has been copied onto the horizontal ray from E. Let D be a point on that ray. Point F was found on the new arc, and ray EF is drawn. What result is made?

Equal-radius arcs are drawn from endpoints A and B of segment AB. The arcs meet above and below the segment at P and Q. What straightedge step completes the bisection?

In a segment-bisector construction, arcs from A and B meet at P and Q. Why must the arcs from A and B use equal radii?
Equal-radius arcs from A and B meet at P and Q, and line PQ crosses AB at M. What is point M?

A student draws equal arcs from A and B, but the arcs meet only at P above segment AB. What is missing before the bisector line can be drawn?
To bisect segment CD with compass arcs from C and D, what compass opening should be used?

Equal arcs from endpoints E and F intersect at R and S, and line RS crosses EF at M. If EF is 18 units, what is EM?

In angle ABC, an arc centered at B crosses BA at D and BC at E. Equal arcs from D and E meet at F inside the angle. Which ray completes the bisection?

To bisect angle DEF, what first compass step creates two points the same distance from vertex E?

An arc centered at K marks G and H on sides of angle JKL. Equal arcs from G and H meet at M. What fact supports ray KM as the angle bisector?

Ray KM is drawn after equal arcs from G and H meet inside angle JKL. What result does this construction make?

A student bisects angle ABC but draws segment DE connecting the first arc's side-intersection points. What step should replace segment DE?

An arc centered at Q marks S on QP and T on QR, equal arcs from S and T meet at U, and ray QU is drawn. If angle PQR measures 76 degrees, what does angle PQU measure?

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Constructing Inscribed Regular Polygons
20 questions