Geometry Basics: Lengths, Circles, and Angles
11 Questions
12 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

The distance from the center of a circle to the circumference is called the ______.

radius

What is the formula for calculating the circumference of a circle?

2πr

A sector of a circle is the space between the chord and the arc.

True (A)

What is the sum of all angles in a triangle?

<p>180 degrees (C)</p> Signup and view all the answers

Which of these is NOT a type of quadrilateral?

<p>Hexagon (C)</p> Signup and view all the answers

What is the sum of all interior angles in a quadrilateral?

<p>360 degrees</p> Signup and view all the answers

Match the following geometrical terms with their correct definitions:

<p>Acute triangle = Has all 3 angles less than 90 degrees Obtuse triangle = Has one angle larger than 90 degrees Right angle triangle = Has one right angle (90 degrees) Equilateral triangle = Has 3 equal sides and 3 equal angles Isosceles triangle = Has 2 equal sides and 2 equal angles Scalene triangle = Has no equal sides and no equal angles</p> Signup and view all the answers

A straight line that touches a circle at only one point is known as a ______.

<p>tangent</p> Signup and view all the answers

Vertically opposite angles are always equal to each other.

<p>True (A)</p> Signup and view all the answers

In a quadrilateral, if one pair of opposite sides are parallel, it is called a ______.

<p>trapezoid</p> Signup and view all the answers

What is the difference between an acute and an obtuse triangle?

<p>An acute triangle has all angles less than 90 degrees, while an obtuse triangle has one angle greater than 90 degrees.</p> Signup and view all the answers

Flashcards

Perimeter

The sum of all sides of a shape.

Composite Shapes

Shapes made by combining multiple simpler shapes.

Radius

Distance from the center of a circle to a point on the circumference.

Diameter

The distance across a circle through its center.

Signup and view all the flashcards

Circumference

The distance around a circle.

Signup and view all the flashcards

Complementary Angles

Two angles that add up to 90 degrees.

Signup and view all the flashcards

Supplementary Angles

Two angles that add up to 180 degrees.

Signup and view all the flashcards

Parallel Lines

Lines that never intersect.

Signup and view all the flashcards

Corresponding Angles

Angles in the same position on intersecting lines.

Signup and view all the flashcards

Alternate Angles

Angles on opposite sides of the transversal.

Signup and view all the flashcards

Acute Triangle

A triangle with all angles less than 90 degrees.

Signup and view all the flashcards

Obtuse Triangle

A triangle with one angle greater than 90 degrees.

Signup and view all the flashcards

Right-angled Triangle

A triangle with one angle equal to 90 degrees.

Signup and view all the flashcards

Equilateral Triangle

A triangle with three equal sides and three equal angles.

Signup and view all the flashcards

Isosceles Triangle

A triangle with two equal sides and two equal angles.

Signup and view all the flashcards

Scalene Triangle

A triangle with no equal sides and no equal angles.

Signup and view all the flashcards

Angle Sum of Triangle

The sum of the angles in a triangle is 180 degrees.

Signup and view all the flashcards

Exterior Angle of Triangle

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

Signup and view all the flashcards

Quadrilateral

A polygon with four sides.

Signup and view all the flashcards

Angle Sum of Quadrilateral

The sum of the angles in a quadrilateral is 360 degrees.

Signup and view all the flashcards

Study Notes

Lengths and Circles

  • Perimeter is the sum of all sides.
  • Composite shapes combine multiple shapes.
  • Unknown sides can be found using formulas.
  • Matching side symbols are important.

Circles

  • Radius is the distance from the center to the circumference.
  • Diameter is the distance between opposite points through the center.
  • Arc is the distance between two points.
  • Chord is a line joining two points.
  • Sector is the space between a chord and arc.
  • Tangent is a line touching the circle at one point.
  • Circumference = 2 × π × radius. Radius = Diameter / 2.

Angle Relations

  • Complementary angles add up to 90 degrees.
  • Supplementary angles add up to 180 degrees.
  • Right angles equal 90 degrees.
  • Straight angles equal 180 degrees.
  • Angles in a full circle (revolution) total 360 degrees.
  • Vertically opposite angles are equal (opposite to two straight lines).

Parallel Lines

  • Corresponding angles are equal.
  • Alternate angles are equal.
  • Co-interior angles add up to 180 degrees if parallel lines are present.

Geometric Figures

  • Acute triangles have all angles less than 90 degrees.
  • Obtuse triangles have one angle greater than 90 degrees.
  • Right-angled triangles have one 90-degree angle.
  • Equilateral triangles have three equal sides and angles.
  • Isosceles triangles have two equal sides and angles.
  • Scalene triangles have no equal sides or angles.

Quadrilaterals

  • Squares have four equal sides and angles.
  • Rectangles have opposite sides equal and angles equal.
  • Parallelograms have opposite sides equal and parallel.
  • Trapeziums have one pair of parallel sides.

Angle Sum of Shapes

  • The angle sum of a triangle is 180 degrees.
  • The exterior angle of a triangle equals the sum of the opposite interior angles.
  • The angle sum of a quadrilateral is 360 degrees.

Algebra

  • 2x means two times x.
  • y/3 means y divided by 3.
  • x² means x times x.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Geometry Notes PDF

Description

This quiz covers essential concepts in geometry, focusing on lengths, circles, angles, and parallel lines. Test your understanding of perimeter, radius, and angle relations with various shapes and their properties. Perfect for students looking to strengthen their geometry skills.

More Like This

Circle Geometry Basics
12 questions
Geometry Basics: Circles and Angles
51 questions
Окружность и круг
29 questions
Use Quizgecko on...
Browser
Browser