Grade 10 · Geometry
This quiz helps revise “Perpendicularity in space” in Geometry for grade 10. It has 25 questions in five categories: Line and plane, Obliques & projections, Angle to a plane, Lines above a plane, Plane meets plane. Questions get harder as the points go up, from 100 to 500.
The 100- and 200-point questions are open here. The rest show only their first words, and there are no answers: all of that is in the game itself.
What angle does a normal to a plane make with every line in the plane that passes through its foot?
A line makes 90° angles with two intersecting lines in a plane. What follows about the line?
Two distinct lines each…
In the gameHow many lines through…
In the gamePlanes α and β…
In the game
A point is 6 cm normally above a plane, and an oblique segment to the plane is 10 cm. How long is its projection?
Which segment from a point outside a plane to the plane has the smallest possible length?
Two oblique segments from…
In the gameTwo oblique segments start…
In the gameTwo obliques to a…
In the gameIf a line has no points in common with a plane, what is the angle between them taken to be?
If a line is normal to a plane, what is the angle between them taken to be?
Which line in the…
In the gameAB=12 cm, B lies…
In the gameThe angle between a…
In the gameWhich theorem links an oblique to a plane, its projection, and a line in the plane through the oblique's foot?
MA makes a 90° angle with plane ABC, and the angle between AB and BC is 90°. What is the relation between MB and BC?
SO makes a 90°…
In the gameSA=6 cm and makes…
In the gameSO=12 cm is normal…
In the gameWhat is the angle formed by two half-planes with the same boundary line called?
How many angle regions around their common line are formed by two intersecting planes?
Plane β contains a…
In the gameHow many planes through…
In the gamePlanes α and β…
In the gameAll 25 questions and the answers are in the game. Invite your class or friends with a link — guests need no account.