9 6 quadrilaterals
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Quadrilaterals are shapes that have four sides. They can be classified based on their angles or pairs of sides. Some common types of quadrilaterals are rectangles, which have four right angles, squares which are rectangles with four equal sides, rhombi which have four equal sides but not necessarily right angles, and trapezoids which have only one pair of parallel sides. The key difference between a square and rhombus is that a square has four right angles while a rhombus does not necessarily have right angles.
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Basics of Quadrilaterals
This document defines and describes different types of quadrilaterals. A quadrilateral is a shape with four sides. There are several specific types of quadrilaterals including rectangles, squares, rhombi, parallelograms, trapezoids, and kites. Each type has distinct properties, such as pairs of parallel or equal sides. The document also proves that the sum of the interior angles of any quadrilateral is always 360 degrees.
Quadrilaterals
This document defines and discusses various types of quadrilaterals, including their properties and theorems. It begins by defining a quadrilateral as any 4-sided shape and discusses convex vs concave quadrilaterals. It then covers the angle sum property and defines specific types of quadrilaterals like squares, rectangles, parallelograms, rhombi, trapezoids, and kites. The document concludes by proving the midpoint theorem, which states that the midpoint of a line segment divides it into two congruent halves and is parallel to the original segment.
Quadrilaterals
Quadrilaterals are polygons with 4 sides and 4 angles. Parallelograms have two sets of parallel opposite sides, rectangles have two sets of parallel sides and four right angles and are a type of parallelogram, squares have four equal sides, four right angles and are both rectangles and parallelograms, rhombuses are parallelograms with four equal sides but not necessarily right angles, and trapezoids only have one set of parallel sides and are not parallelograms.
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This document provides an overview of different types of quadrilaterals. It begins with a definition of a quadrilateral as a four-sided polygon with 360 degrees of interior angles. It then describes various quadrilaterals like trapezoids, parallelograms, rectangles, rhombi, and squares by their defining properties such as number of parallel sides, right angles, and side lengths. Kites are also discussed as a special type of quadrilateral with two pairs of equal adjacent sides and perpendicular diagonals where one bisects the other. The document aims to classify and distinguish between different quadrilaterals.
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A quadrilateral is a shape with four sides, four angles, and four vertices. Quadrilaterals are common in everyday life, appearing in floors, walls, windows, and books. Parallelograms are quadrilaterals where opposite sides are parallel and equal in length; specific types include rectangles, squares, and rhombi. Properties of parallelograms include having diagonals that bisect each other and divide the shape into two congruent triangles.
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Quadrilaterals are polygons with 4 sides and 4 angles. Parallelograms have two sets of parallel opposite sides, rectangles have two sets of parallel sides and four right angles and are a type of parallelogram, squares have four equal sides, four right angles and are both rectangles and parallelograms, rhombuses are parallelograms with four equal sides but not necessarily right angles, and trapezoids only have one set of parallel sides and are not parallelograms.
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A quadrilateral is a shape with four sides, four angles, and four vertices. Quadrilaterals are common in everyday life, appearing in floors, walls, windows, and books. Parallelograms are quadrilaterals where opposite sides are parallel and equal in length; specific types include rectangles, squares, and rhombi. Properties of parallelograms include having diagonals that bisect each other and divide the shape into two congruent triangles.
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3) A rhombus has four equal sides but the angles may vary.
4) A parallelogram has two pairs of parallel opposite sides.
5) A trapezoid has only one pair of parallel opposite sides.
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This document defines and describes different types of quadrilaterals:
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- Rectangles have 4 right angles and opposite sides are parallel. Rhombi have 4 equal sides. Squares are both rectangles and rhombi.
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We gratefully acknowledge our maths teacher for helping us prepare this PowerPoint presentation on types of quadrilaterals. The document then defines and describes the key properties of various quadrilaterals including parallelograms, rectangles, squares, rhombi, trapezoids, kites, and the use of midpoints and diagonals to prove geometric theorems.
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This document defines and describes properties of different types of quadrilaterals. It states that quadrilaterals are four-sided polygons, and defines parallelograms as quadrilaterals with both pairs of opposite sides parallel. Properties of parallelograms include having congruent opposite sides and angles. Rectangles are defined as parallelograms with four right angles, while squares are rectangles with four congruent sides. Rhombuses are parallelograms with four congruent sides. Trapezoids have one pair of parallel sides. Formulas are provided for calculating areas of parallelograms, triangles, trapezoids and other shapes.
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There are several types of quadrilaterals defined by their geometric properties:
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This document defines and describes different types of quadrilaterals. It states that a quadrilateral is a four-sided polygon or figure. The main types of quadrilaterals are parallelograms, rhombuses, rectangles, squares, trapezoids, and kites. Each type has distinct properties, such as pairs of parallel sides for parallelograms or all equal sides for squares. A family tree shows how the different quadrilaterals are related.
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2) Parallelograms have two sets of parallel sides and opposite angles are equal. Specific types of parallelograms include rectangles, rhombi, and squares.
3) Trapezoids have only one set of parallel sides, while kites have two pairs of equal adjacent sides that meet at equal angles.
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Photosystem II captures and transfers energy.
– chlorophyll absorbs
energy from sunlight
– energized electrons
enter electron
transport chain
– water molecules are
split
– oxygen is released as
waste
– hydrogen ions are
transported across
thylakoid membrane
4.1 Chemical Energy and ATP
• Photosystem I captures energy and produces energycarrying molecules.
– chlorophyll absorbs
energy from sunlight
– energized electrons
are used to make
NADPH
– NADPH is transferred
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reactions
4.1 Chemical Energy and ATP
• The light-dependent reactions produce ATP.
– hydrogen ions flow through a channel in the thylakoid
membrane
– ATP synthase attached to the channel makes ATP
4.1 Chemical Energy and ATP
• Light-independent
reactions occur in the
stroma and use CO2
molecules.
The second stage of photosynthesis uses energy from
the first stage to make sugars.
4.1 Chemical Energy and ATP
• A molecule of glucose is formed as it stores some of the
energy captured from sunlight.
– carbon dioxide molecules enter the Calvin scrdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeePhotosystem II captures and transfers energy.
– chlorophyll absorbs
energy from sunlight
– energized electrons
enter electron
transport chain
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split
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waste
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4.1 Chemical Energy and ATP
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- 1. Topic 9 Lesson 9-6 QUADRILATERALS
- 2. Figures with four sides are called “quadrilaterals”. “Quad” means 4.
- 3. Quadrilaterals can be classified by their angles or pairs of sides.
- 4. “Poly” means “many”. So any polygon with 4 sides is called a “quadrilateral” because it has many sides.
- 5. Let’s look at some different types of quadrilaterals. rhombusparallelogram trapezoidrectanglesquare
- 6. rectangle 4 right angles also called a parallelogram
- 7. rhombus opposite sides are parallel and all sides are the same length
- 8. square 4 right angles All sides are the same length. It is a parallelogram, rhombus, & a rectangle.
- 9. A square has 4 right angles. A rhombus does not. What is the difference between a rhombus and a square?
- 10. So a square is also a rhombus, but a rhombus is not a square!
- 11. parallelogram 2 pairs of parallel sides
- 12. trapezoid only one pair of parallel sides
- 13. Now you can recognize quadrilaterals.