geometry


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geometry
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geometry
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Inequalities
Inequalities - If two sides of a triangle are unequal, then the greater angle is opposite to the greater side. AB > AC If two angles of a triangle are unequal, the greater side is opposite to the greater angle. AB > ..
Pythagoras' Theorem
Pythagoras' Theorem - In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN ..
Congruent Triangles
When two triangles have (i) the same shape, and (ii) the same size, then they are said to be congruent triangles. Symbol for congruency is Draw with AB = 4 cm, AC = 5 cm, and . Also with DE = 4 cm, DF = 5 cm and Draw these triangles on a tracing paper. Now place fig(ii) on fig.(i), so that D is pla..
Question 1
Question: Answer: x and y ..
The Intercept Theorem
If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. AP || BQ || CR. The intercepts AB and BC are equal. PQ, QR are the intercepts on any other line. PQ = QR Through A and B draw AE and BF parallel to PQR to cut B..
Congruent Triangles
Congruent Triangles - When two triangles have (i) the same shape, and (ii) the same size, then they are said to be congruent triangles. Symbol for congruency is Draw with AB = 4 cm, AC = 5 cm, and . Also with DE = 4 cm, DF = 5 cm and Draw these triangles on a tracing paper. Now place fig(ii) on fig..
Similarity Theorem 4
Theorem 4 - A perpendicular drawn from the right angle vertex of a right - angled triangle divides the triangle into two triangles similar to each other and also to the original triangle. ABC is a triangle right-angled at A. The perpendicular from A to BC meets BC at D. (i) (ii) (ii..
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