Geometric Constructions
Theory
What are the drawing tools called for geometric constructions?
Set Square and Compass
Name these three things:
BONUS 200: How are each usually labelled? (Greek letter, lower case letter, capital letter)
Point (Capital letter), Line (Lower case letter) and Plane (Greek letter)
TRUE or FALSE: Irregular polygons have equal sides and shapes
FALSE: Irregular polygons have UNEQUAL sides and shapes.
Regular polygons have EQUAL sides and shapes.
What is the name of this polygon? How do you know?
This is a heptagon. It has seven sides.
What is the difference between "Plane Geometry" and "Solid Geometry"? BONUS 200: Give 2 examples of each.
Plane Geometry: the study of flat, 2D figures (triangle, square, circle, rectangle)
Solid Geometry: the study of 3D figures (rectangular prism, cube, cylinder, sphere, pyramid, cone)
What is the name of this tool? What is the difference between these two tools?
This is a set square. One is a 45º set square and the other is a 30º/60º set square.
What is the definition of a "Polygonal Shape"?
A polygonal shape is a closed flat figure formed by connecting line segments.
What is the name of this polygon? How do you know?
This is a trapezium. It is a quadrilateral with only two parallel sides.
What are the elements of a circumference? HINT: there are 5 total elements.
Arc, radius, diameter, centre and chord.
What do the R and the D stand for in the image?
Radius and Diameter
Name 3 types of triangles. BONUS 200: Name all 6 types of triangles.
Equilateral, isosceles, scalene, right-angled, obtuse, acute
What is the name of this polygon? What polygon can fit IN the shape?
This is a regular pentagon. A 5-star polygon can fit in the pentagon.
Which type of line NEVER cross each other? BONUS 500: Name the other 2 types of lines and what is the difference between the 2 other types.
Parallel lines NEVER cross.
BONUS:
Oblique Lines: cross at ANY angle EXCEPT 90º.
Perpendicular Lines: cross to FORM a right angle of 90º.
What type of relative position do these circumferences have?
Concentric circumferences
What is the difference between a trapezium and a trapezoid?
A trapezium is a quadrilateral with only TWO parallel sides.
A trapezoid is a quadrilateral with NO parallel lines.
Name the quadrilaterals: a, b, and d.
BONUS 200: Name all the quadrilaterals.
(a) rectangle, (b) square, (c) parallelogram; (d) rhombus and (e) kite
What is the difference between a ray and a segment?
A ray is a line with a point marked on it.
A segment is a part of a line marked by two points.
What are the differences between these lines?
Perpendicular lines (cross at 90º) and Oblique lines (cross at any angle EXCEPT 90º)
Name the 5 types of polygons and how many sides each has. HINT: Start with the polygon with three sides...
Triangle: 3 sides
Quadrilateral: 4 sides
Pentagon: 5 sides
Hexagon: 6 sides
Heptagon: 7 sides
What are the names of these triangles?
Top: Equilateral triangle, Right-angled triangle, Isosceles triangle
Bottom: Scalene triangle, Acute triangle, Obtuse triangle