8 5 Trapezoid And Kites
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This document discusses different types of quadrilaterals including trapezoids, kites, parallelograms, rectangles, rhombuses, and squares. It provides definitions and properties for each shape. Key properties include: 1) A trapezoid has one pair of parallel sides, leg angles are supplementary, and the midsegment is half the sum of the bases. 2) A kite has two pairs of consecutive congruent sides, perpendicular diagonals, and one pair of opposite angles are congruent. 3) Parallelograms have opposite sides parallel and opposite angles congruent. Rectangles and squares are types of parallelograms with right angles or all sides congruent.
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8 5 Trapezoid And Kites
This document discusses different types of quadrilaterals including trapezoids, kites, parallelograms, rectangles, rhombuses, and squares. It provides definitions and properties for each shape. Key properties include:
1) A trapezoid has one pair of parallel sides, leg angles are supplementary, and the midsegment is half the sum of the bases.
2) A kite has two pairs of consecutive congruent sides, diagonals are perpendicular, and one pair of opposite angles are congruent.
3) Parallelograms have opposite sides parallel and opposite angles congruent. Rectangles and squares are types of parallelograms with right angles or all sides congruent,
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This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.
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This document provides information about different types of quadrilaterals. It defines a quadrilateral as a polygon with four sides. There are several specific types of quadrilaterals that are defined by their properties: trapezoids have one pair of parallel sides, parallelograms have two pairs of parallel sides, rhombuses have four sides of equal length and two pairs of parallel sides, rectangles have two pairs of parallel sides and opposite sides of equal length, and squares have four equal sides and four right angles. The properties of the angles, sides, and diagonals are also described for each type of quadrilateral. Trapezoids are further broken down into types based on their properties, such as isos
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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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This document discusses different types of quadrilaterals including trapezoids, kites, parallelograms, rectangles, rhombuses, and squares. It provides definitions and properties for each shape. Key properties include:
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More Free Resources to Help You Teach your Geometry Lesson on Classifying Polygons can be found here:
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More Free Resources to Help You Teach your Geometry Lesson on Classifying Polygons can be found here:
*** https://geometrycoach.com/1-6-classifying-polygons/
If you are looking for more great lesson ideas sign up for our FREEBIES at:
Pre Algebra: https://prealgebracoach.com/unit
Algebra 1: https://algebra1coach.com/unit
Geometry: https://geometrycoach.com/optin
Algebra 2 with Trigonometry: https://algebra2coach.com/unit
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This document defines and compares different types of quadrilaterals including parallelograms, rhombuses, squares, trapezoids, and rectangles. It provides properties for each shape, such as opposite sides being equal and parallel for parallelograms, all sides being equal for rhombuses and squares, trapezoids having only one set of parallel sides, and rectangles having right angles and equal diagonals. The document outlines key distinguishing features of common quadrilaterals.
Q2M1-4.pptx
This document discusses different types of quadrilaterals including their definitions and properties. It defines a quadrilateral as a four-sided polygon and introduces various terms used to describe quadrilateral parts such as sides, angles, and diagonals. It then presents different types of quadrilaterals in a family tree showing their relationships and provides detailed definitions and properties for parallelograms, rhombuses, rectangles, and squares. The document concludes with an example problem involving finding measurements of a parallelogram using its properties.
Quadilateral
This document provides instructions for creating a foldable to help students learn about different types of quadrilaterals. The foldable includes sections to draw and list properties of parallelograms, rectangles, rhombuses, and squares. Additional sections cover characteristics of trapezoids, kites, and irregular quadrilaterals. The completed foldable allows students to compare properties of different quadrilaterals and test their understanding of interior angles summing to 360 degrees.
Quadrilaterals
This document provides information about various types of quadrilaterals (four-sided shapes). It defines quadrilateral, rectangle, rhombus, square, parallelogram, and trapezium. For each shape, it describes the key properties like side lengths, angle measures, and how to calculate the area and perimeter. The goal is to explain these geometric concepts in a clear, step-by-step manner to make mathematics more accessible and enjoyable for students.
Integrated Math 2 Section 5-6
The document defines key vocabulary terms related to quadrilaterals and parallelograms. It presents a hierarchy of quadrilaterals from most general to most specific. Parallelograms have specific properties including opposite sides being congruent and opposite angles being congruent. An example problem demonstrates using properties of parallelograms to find lengths of diagonals and sides.
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.
MathEMATICS -9-Special-parallelogram.pptx
Rectangle, rhombus, and square are special types of parallelograms. Rectangles have four right angles and congruent diagonals. Rhombuses have four equal sides and perpendicular diagonals that bisect opposite angles. Squares are both rectangles and rhombuses, with four congruent sides that are also right angles and diagonals that are perpendicular and congruent.
Quadrilaterals
A quadrilateral is a polygon with four sides. There are several types of quadrilaterals that can be identified by their angles and the lengths of their sides, including squares, rectangles, rhombi, parallelograms, and trapezoids. A square has four equal sides and four right angles. A rectangle has two long sides and two short sides with four right angles. A rhombus has four equal sides but two acute and two obtuse angles. A parallelogram has two pairs of parallel sides with two acute and two obtuse angles. A trapezoid has one pair of parallel sides.
Quadrilaterals grade 7
The document defines different types of triangles and quadrilaterals. It discusses the properties of triangles based on their angles and sides. It then defines different types of quadrilaterals such as parallelograms, rectangles, rhombuses, squares, trapezoids, and trapeziums. It discusses their properties including opposite sides, opposite angles, diagonals, and angle sums. Examples of each shape are provided and classified based on their properties. Statements about relationships between the different shapes are classified as true or false.
Case tudy on quadrilaterals tej
The document defines and provides properties of different types of quadrilaterals:
1. Squares have four equal sides and four right angles. Rectangles and rhombuses are also types of parallelograms.
2. Rhombuses have four equal sides and opposite angles are equal. Kites have two pairs of equal adjacent sides meeting at equal angles.
3. Parallelograms have opposite sides parallel and equal in length with opposite angles also equal. Trapezoids have one pair of parallel opposite sides. Isosceles trapezoids additionally have the non-parallel sides equal in length.
QUADRILATERALS.pptx
The document provides information about different types of quadrilaterals:
- A quadrilateral is a plane shape with four sides and four angles at each vertex. There are several types of quadrilaterals classified by their properties.
- Parallelograms have two pairs of parallel sides and their opposite angles are congruent. Special types of parallelograms include rectangles, rhombi, and squares.
- Trapezoids have exactly one pair of parallel sides, while kites have two pairs of congruent adjacent sides. Properties and definitions of each shape are described.
- The median and altitude of a trapezoid are defined. Isosceles and right trapezoids are subtypes
quadrilaterals_ppt.pptx
This document discusses different types of quadrilaterals. It defines squares, rectangles, rhombi, trapezoids, and parallelograms based on their angles and sides. Specifically, it notes that squares have four right angles and equal sides, rectangles have four right angles and two pairs of equal parallel sides, rhombi have four equal sides and two pairs of parallel sides, trapezoids have one pair of parallel sides, and parallelograms have two pairs of parallel sides. The document encourages identifying these shapes in other images.
1.pptx
This document provides information about 2D and 3D shapes including their properties such as sides, edges, vertices, area and perimeter. It defines parallel and perpendicular lines and discusses different types of quadrilaterals, polygons, and 3D shapes such as prisms and pyramids. Examples are provided to demonstrate how to identify shapes and calculate their area and perimeter. Key terms are defined throughout including faces, edges, vertices, regular and irregular polygons.
UNIT 8 lesson 8.1 grade 7.pptx
rvderRFVERVGERVDFTYREWERTYUJIKLPKJHGFDSDFGHJKL;KJHGFDSDRTYUIOKJHGFDSAERTYUIOKJHGFDSE567IOPLKJNBVFDSW34RTYUIKJHGFDSEDRTYUIOKJNBVCXSERTYUIOLKMJNBVCDXSASERTYUIOL;KJNBHGVFDSD
Geometry Review
The document provides an overview of various geometry concepts including:
- Solid shapes such as cubes, cylinders, and cones and their defining characteristics
- Lines, angles, and their classifications
- Circles and their components such as diameters and radii
- Polygons defined by their number of sides
- Properties of triangles, quadrilaterals, and other shapes
- Symmetry, congruence, transformations, and tessellations
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8 5 Trapezoid And Kites
- 1. Special Quadrilaterals Sect 5.10, 5.11, 5.12
- 2. Quadrilateral Four sided polygon
- 3. Foldable 1. 4 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus TRAPEZOID KITE 1. Opposite sides parallel. 2. Opposite sides congruent. 3. Opposite angles are congruent. 4. Consecutive angles are supplementary. 5. Diagonals bisect each other. 1. Has 4 right angles. 2. Diagonals are congruent. 3. All properties of parallelogram. 1. Has 4 Congruent sides 2. Diagonals bisect opposite angles. 3. Diagonals are perpendicular. 4. All properties of parallelograms. QUADRILATERALS
- 4. Foldable 1. Opposite sides parallel. 2. Opposite sides congruent. 3. Opposite angles are congruent. 4. Consecutive angles are supplementary. 5. Diagonals bisect each other. 1. Has 4 right angles. 2. Diagonals are congruent. 3. All properties of parallelogram. 1. Has 4 Congruent sides 2. Diagonals bisect opposite angles. 3. Diagonals are perpendicular. 4. All properties of parallelograms. 1. 4 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus QUADRILATERALS
- 5. Trapezoid ONE PAIR OF PARALLEL SIDES
- 6. A quadrilateral is a TRAPEZOID if and only if it has ONE pair of parallel sides
- 7. Trapezoid Leg angles are supplementary Leg angle 1 Leg angle 2 leg leg base base
- 8. Trapezoid Theorem 8.17-Midsegment of a trapezoid is parallel to each base and is ½ the sum of the lengths of the bases Midsegment =½ (b 1 + b 2 ) Base (b 2 ) Base (b 1 )
- 9. Trapezoid Theorem 8.14- If a Trapezoid is Isosceles then Base angles are congruent Base angle 2 Base angle 1 leg leg base base
- 10. Trapezoid Theorem 8.16- A trapezoid is isosceles if and only if its Diagonals are congruent
- 11. KITE TWO PAIRS OF CONSECUTIVE CONGRUENT SIDES (opposite sides not congruent)
- 12. A quadrilateral is a KITE if and only if it has two pairs of congruent consecutive sides
- 13. KITE Theorem 8.18-Diagonals are perpendicular
- 14. KITE Short diagonal is bisected
- 15. KITE Theorem 8.19-ONE pair of opposite angles are congruent (not both)
- 16. KITE The other angles are bisected by the diagonal
- 17. Foldable QUADRILATERALS 1. One pair of parallel sides 2. Leg angles supplementary 3. Midsegment= ½(b 1 + b 2 ) 4. Isosceles—see back 1. 2 pairs of consecutive sides congruent 2. 1 pair of opposite angles congruent 3. Diagonals perpendicular 4. Small diagonal bisected 5. Non-congruent angles are bisected 1. Opposite sides parallel. 2. Opposite sides congruent. 3. Opposite angles are congruent. 4. Consecutive angles are supplementary. 5. Diagonals bisect each other. 1. Has 4 right angles. 2. Diagonals are congruent. 3. All properties of parallelogram. 1. Has 4 Congruent sides 2. Diagonals bisect opposite angles. 3. Diagonals are perpendicular. 4. All properties of parallelograms. 1. 4 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus
- 18. Isosceles Trapezoid: 1. 2 pairs of congruent base angles 2. Diagonals are congruent
- 19. Let's make a Venn Diagram Relating all of the Properities of our quadrilaterals
- 20. QUADRILATERALS PARALLELOGRAMS RHOMBUSES RECTANGLES Squares
- 21. QUADRILATERALS PARALLELOGRAMS RHOMBUSES RECTANGLES Squares 1. Diagonals bisect angles 2. Diag. perpendicular 3. 4 equal sides 1. Polygon 2. 4 sides 1. 4 rt. angles 2. Diagonals congruent 5. Consecutive angles supplementary 4. Diagonals Bisect 3. Opposite Sides parallel 2. Opposite Angles congruent 1. Opposite Sides congruent
- 22. QUADRILATERALS PARALLELOGRAMS RHOMBUSES RECTANGLES Squares 1. Diagonals bisect angles 2. Diag. perpendicular 3. 4 equal sides 1. Polygon 2. 4 sides 1. 4 rt. angles 2. Diagonals congruent 5. Consecutive angles supplementary 4. Diagonals Bisect 3. Opposite Sides parallel 2. Opposite Angles congruent 1. Opposite Sides congruent Trapezoids Kites