4.1 Properties and Constructions

• What is a polygon defined as?

  Closed shape with straight line segments
• Supplementary angles are angles that add up to 180 degrees.
• What are the key properties of triangles?

  Three line segments and vertices
• An arc is a segment of the circumference
• Congruent triangles have exactly the same size and shape.


  True
• How is an angle measured?

  In degrees
• What is a polygon?

  A closed shape with line segments
• The diameter of a circle is twice its radius.


  True
• The diameter of a circle is equal to 2r
• If a circle has a radius of 5 cm, what is its circumference?

  $2π(5)$
• An isosceles triangle has two equal sides and angles.
• An equilateral triangle is always regular.


  True
• Opposite sides of a parallelogram are both equal and parallel.


  True
• What is a square a special case of?

  Rectangle
• An angle is measured in degrees.


  True
• What is the sum of complementary angles?

  90 degrees
• What is the formula for the circumference of a circle?

  $2πr$
• What is a tangent in relation to a circle?

  A line touching at one point
• Triangles with all equal sides are called equilateral
• A line extends infinitely in both directions.


  True
• Supplementary angles add up to 180 degrees.
• Match the circle property with its formula or description:

  Circumference ↔️ $2πr$

  Area ↔️ $πr^{2}$

  Diameter ↔️ $2r$

  Radius ↔️ Distance from center to edge
• What is the formula for the circumference of a circle?

  $2πr$
• Match the circle property with its definition:

  Diameter ↔️ The longest straight line through the center

  Arc ↔️ A segment of the circumference

  Area ↔️ The space enclosed by the circle
• What type of triangle has all sides and angles equal?

  Equilateral
• In an equilateral triangle, all angles are equal to 60 degrees.
• A square is a rectangle with all sides equal.
• A trapezium has one pair of parallel sides.


  True
• What is a point in geometry defined as?

  Specific location in space
• Parallel lines are lines that never intersect and are always the same distance
• Match the polygon property with its definition:

  Interior Angles ↔️ Angles inside the polygon

  Exterior Angles ↔️ Angles outside the polygon

  Regular Polygons ↔️ Polygons with equal sides and angles
• The area of a circle is calculated using the formula $πr^{2}$.
• What is the definition of the radius of a circle?

  Distance from center to edge
• Match the circle property with its definition:

  Circumference ↔️ Perimeter of a circle

  Diameter ↔️ Longest line through center

  Area ↔️ Space enclosed by circle

  Tangent ↔️ Line touching at one point
• Similar triangles have the same shape
• A polygon is a closed shape made of straight line segments
• The sum of interior angles in an n-sided polygon is $180(n - 2)$ degrees.
• What is a tangent in relation to a circle?

  A line touching at one point
• What is the formula for the area of a circle?

  $πr^{2}$
• If a circle has a radius of 5 cm, its area is $π(5^{2})$ sq. cm.