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This document defines and provides formulas for calculating the areas of basic geometric shapes including rectangles, trapezoids, squares, parallelograms, and ovals. For each shape, it describes the characteristics that define the shape and provides the relevant formula to calculate its area. The shapes covered are rectangles, trapezoids, squares, parallelograms, and ovals, with their defining features and area formulas given for quick reference.
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This document defines congruence and discusses different types of congruent geometric figures and triangles. It states that congruent figures have the same shape and size. Specific examples given include congruent line segments which have the same length, angles which have the same measure, circles which have the same radius, rectangles which have the same length and breadth, and squares which have the same side lengths. It also outlines four different theorems for determining if triangles are congruent based on their sides and angles: SSS, SAS, ASA, and RHS.
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The document defines and describes basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, rays, and polygons. It provides the definitions for these terms and describes characteristics such as the number of sides, angles, parallel or perpendicular lines, and whether the shape extends forever or has a fixed distance from a center point.
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This document defines common geometric terms including point, line, plane, angle, perpendicular lines, parallel lines, triangles, right triangles, pentagons, hexagons, squares, rectangles, trapezoids, parallelograms, circles, cylinders, spheres, pyramids, cubes, and cones. It provides the basic definitions for these terms, stating that points have no size, lines have no thickness, planes extend forever, and polygons have a certain number of sides.
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This document defines and explains properties of various quadrilaterals and triangles. It defines parallelograms, rectangles, rhombi, and trapezoids, listing their key properties such as opposite sides being parallel and congruent, opposite angles being congruent, diagonals bisecting each other, etc. It also defines scalene, isosceles, equilateral, acute, obtuse, and congruent triangles. Area formulas are provided for various shapes using base and height.
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This document presents information about quadrilaterals and parallelograms. It defines a quadrilateral as a plane figure bounded by four line segments and lists the main types: parallelogram, rectangle, square, and trapezium. It outlines the key properties of parallelograms including having opposite sides that are parallel, equal in length, and opposite angles that are equal. Theorems state that the diagonals of parallelograms bisect each other and each diagonal bisects the parallelogram. Converses of these theorems are also provided, along with intercept theorems. The document was presented by Gargie Das from class IX 'A'.
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The document contains information about using similarity postulates to determine if triangles are similar and find unknown side lengths. It provides examples of using the AA, SAS, and SSS similarity postulates to show triangles are similar. It also shows using proportional sides to find missing lengths. The objective is for students to use similarity postulates to decide if triangles are similar and find unknowns.
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This document defines and describes basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, spheres, cubes, and pyramids. It explains that a point has no size, a line has no thickness and extends forever, and a plane is a flat surface with no thickness that extends forever. Common shapes are also defined, such as triangles, rectangles, squares, and circles. Three-dimensional shapes like cylinders, spheres, cubes and pyramids are also described.
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This document defines congruence and discusses different types of congruent geometric figures and triangles. It states that congruent figures have the same shape and size. Specific examples given include congruent line segments which have the same length, angles which have the same measure, circles which have the same radius, rectangles which have the same length and breadth, and squares which have the same side lengths. It also outlines four different theorems for determining if triangles are congruent based on their sides and angles: SSS, SAS, ASA, and RHS.
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The document defines and describes basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, rays, and polygons. It provides the definitions for these terms and describes characteristics such as the number of sides, angles, parallel or perpendicular lines, and whether the shape extends forever or has a fixed distance from a center point.
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This document defines common geometric terms including point, line, plane, angle, perpendicular lines, parallel lines, triangles, right triangles, pentagons, hexagons, squares, rectangles, trapezoids, parallelograms, circles, cylinders, spheres, pyramids, cubes, and cones. It provides the basic definitions for these terms, stating that points have no size, lines have no thickness, planes extend forever, and polygons have a certain number of sides.
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This document defines and explains properties of various quadrilaterals and triangles. It defines parallelograms, rectangles, rhombi, and trapezoids, listing their key properties such as opposite sides being parallel and congruent, opposite angles being congruent, diagonals bisecting each other, etc. It also defines scalene, isosceles, equilateral, acute, obtuse, and congruent triangles. Area formulas are provided for various shapes using base and height.
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This document presents information about quadrilaterals and parallelograms. It defines a quadrilateral as a plane figure bounded by four line segments and lists the main types: parallelogram, rectangle, square, and trapezium. It outlines the key properties of parallelograms including having opposite sides that are parallel, equal in length, and opposite angles that are equal. Theorems state that the diagonals of parallelograms bisect each other and each diagonal bisects the parallelogram. Converses of these theorems are also provided, along with intercept theorems. The document was presented by Gargie Das from class IX 'A'.
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The document contains information about using similarity postulates to determine if triangles are similar and find unknown side lengths. It provides examples of using the AA, SAS, and SSS similarity postulates to show triangles are similar. It also shows using proportional sides to find missing lengths. The objective is for students to use similarity postulates to decide if triangles are similar and find unknowns.
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This document defines and describes basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, and more. It provides short definitions for each term, describing their key properties such as the number of sides, angles, or parallel lines that characterize the shape.
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It's a power point presentation, by pratik pathak. It is regarding types of quadrilateral, a maths topic, came across by almost all academic students. A thorough knowledge about quadrilaterals is executed from this ppt.
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This document discusses properties of quadrilaterals including their areas, diagonals, and special cases. It defines a quadrilateral as a polygon with four sides and vertices. The interior angles of any quadrilateral add up to 360 degrees. Formulas are provided for calculating the area of quadrilaterals in general and some special cases like rectangles where equality is achieved. Properties discussed include how squares maximize area for a given perimeter and orthodiagonal quadrilaterals maximize area for given diagonals. A table compares properties of diagonals for different types of quadrilaterals like whether they bisect, are perpendicular, or are equal length.
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This document defines and describes various types of quadrilaterals. It discusses properties such as the angle sum property, and defines specific quadrilaterals like parallelograms, rectangles, squares, rhombi, trapezoids, and kites. It provides theorems regarding properties of parallelograms and how midpoints can be used to prove lines are parallel and halves of other lines. In total, the document comprehensively covers the characteristics and relationships of different quadrilaterals.
Quadrilaterals (made by parv aggarwal 8th-b
A quadrilateral is a polygon with four sides and four vertices. There are several types of quadrilaterals that have specific properties: rectangles have four right angles and opposite sides are parallel and equal in length; squares are rectangles with all four sides equal in length; rhombi have all four sides of equal length and opposite angles are equal; and trapezoids have at least one pair of parallel sides. The goal is to understand and apply the defining properties of different quadrilaterals.
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- 1. BY: MELSI MELISSA (110210101073) DEPARTEMENT OF MATHEMATICS FACULTY OF TEACHER TRAINING AND EDUCATION UNIVERSITY OF JEMBER 2013
- 2. RECTANGLE Rectangle is a flat, two- dimensional wake formed by two pairs of ribs, each of equal length and parallel with her partner, and has four corners all of which is a right angle. Sides referred to as the longest length (p) and the shortest ribs referred to as the width (l). Rectangle formula: K = 2.(p+l) L = p.l
- 3. TRAPEZOID Trapezoid is a flat two-dimensional wake formed by four ribs that two of them are parallel but not the same length. Right-angled trapezium, trapezoid which is where two of the four corners are right angles. Ribs are parallel perpendicular to the height of the trapezoid Trapezoid formula: L = (amount parallel x height)/2
- 4. SQUARE Square is a two- dimensional plane formed by four side (a) of the same length and has four corners all of which is a right angle. The time ago plane called a square. Square formula: L = a^2 or L = s^2
- 5. PARALLELOGRAM Parallelogram is a two- dimensional plane formed by two pairs of side, each of equal length and parallel with her partner, and has two pairs instead of right-angled corners, each of which is equal to the angle in front of it. Parallelogram formula: K = 2.a+2. hypotenuse L = a.t
- 6. OVAL An elliptical oval shape. Ellipse is the formula for the area L = 22/7 x A x B where, A = r minor (short) B = r major (long) K = 22/7 x square of (2 x ((1/2 A) ^ 2 + (1/2 B) ^ 2) where, A = r minor (short) B = r major (long) note = 22/7 is the value approaches phi (3.14 ...)
- 7. THANK YOU. . .