Geometry | Chapter 4 | 8th Maths : Summary

**SUMMARY**

**• **Congruent figures are exactly
the same in shape and size.

**• **Similar figures have the
same shape but different sizes.

**• **In a right angled triangle,
the square on the hypotenuse is equal to the sum of the**
**squares on the other two
sides. This is known as Pythagoras theorem.

**• **The three medians of any
triangle are concurrent. The point of concurrence of the**
**three medians in a triangle
is called its Centroid, denoted by the letter G.

**• **The three altitudes of any
triangle are concurrent. The point of concurrence of the**
**three altitudes of a triangle
is called as its Orthocentre, denoted by the letter H.

**• **The three perpendicular bisectors
of the sides of any triangle are concurrent. The** **point of concurrence of the
three perpendicular bisectors of a triangle is called as its Circumcentre, denoted
by the letter S.

**• **The three angle bisectors
of any triangle are concurrent. The point of concurrence**
**of the three angle bisectors
of a triangle is called as its Incentre, denoted by the letter I.

**• **A trapezium is a quadrilateral
in which a pair of opposite sides are parallel.

**• **A parallelogram is a quadrilateral
in which the opposite sides are parallel.

**• **Rhombus is a parallelogram
in which all its sides are congruent.

**• **Rectangle is a parallelogram
whose all its angles are right angles.

**• **Square is a parallelogram
in which all its sides and angles are equal.

** **

__ICT CORNER__

Expected Outcome

**Step-1** Open the Browser type the URL Link given
below (or) Scan the QR Code. GeoGebra work book named “GEOMETRY” will open. Click
on the worksheet named “Parallelogram”.

**Step-2** In the given worksheet you can move
the sliders Base, Height and the angle. Check for what value(s) the parallelogram
becomes rectangle and square. Study the properties.

Browse in the link

Geometry:

https://www.geogebra.org/m/fqxbd7rz#chapter/409576 or Scan the
QR Code.

** **

__ICT CORNER__

Expected Outcome

**Step-1** Open the Browser type the URL Link given
below (or) Scan the QR Code. GeoGebra work sheet named “8th Standard III term” will
open. Select the work sheet named “Rectangle Construction”.

**Step-2** Move the sliders on left side to change
the length and breadth of the rectangle. Drag the slider step by step on right side
to see the steps for construction.

Browse in the link

**Geometry:**

https://www.geogebra.org/m/xmm5kj9r or Scan the QR Code.

Tags : Geometry | Chapter 5 | 8th Maths , 8th Maths : Chapter 5 : Geometry

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8th Maths : Chapter 5 : Geometry : Summary | Geometry | Chapter 5 | 8th Maths

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