Flash Cards
1/19
What is a perpendicular bisector?
A perpendicular bisector is a line that divides another line segment into two equal parts at a right angle (90°).
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2/19
How do you construct a perpendicular bisector?
Draw arcs from both endpoints. The intersection points form the line where the bisector is drawn.
3/19
What does 'bisection' mean?
Bisection is dividing a geometrical object into two equal parts.
4/19
What is triangle congruence?
Triangles are congruent if their corresponding sides and angles are equal.
5/19
How do you construct a 90° angle?
Use a perpendicular bisector; any point on it is 90° to the line segment.
6/19
How can you create a 45° angle?
Construct a 90° angle and then bisect it.
7/19
What are the tools used for geometric constructions?
An unmarked ruler and a compass are used for all constructions.
8/19
What defines a regular polygon?
A regular polygon has all sides and angles equal.
9/19
How is a regular hexagon constructed?
Join 6 equilateral triangles to form a hexagon.
10/19
What are the steps to bisect an angle?
Mark two points, draw arcs, and connect their intersection for the bisector.
11/19
What is tiling?
Tiling is covering a surface with shapes without gaps or overlaps.
12/19
What is a condition for tiling a grid with 2x1 tiles?
The total number of squares must be even for complete coverage.
13/19
What is a tangram?
A tangram is a puzzle made from a square that is divided into 7 pieces.
14/19
Can a 4x6 grid be tiled with 2x1 tiles?
Yes, it can be tiled in various configurations.
15/19
Give an example of a non-tileable region.
A 5x7 grid cannot be tiled with 2x1 tiles.
16/19
How do you copy an angle using a compass?
Draw an arc and measure its segments to create a congruent angle.
17/19
How do you construct a parallel line?
Use angle copying to ensure the same corresponding angles as the original line.
18/19
How is a six-pointed star constructed?
By overlapping two equilateral triangles.
19/19
Which shapes can tile the entire plane?
Squares, equilateral triangles, and regular hexagons can tile the entire plane.
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