ks 4 geometry help

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..

Question: In the following diagrams parallel lines are marked by arrows in the same direction. Transversal is also drawn. Find the missing angles and provide the reason for each. Note: (No proof is required but the essential steps of working must be given) Answer: (i) Find a, b, c, d, ..

Question: Answer: To prove: Proof: ..

Question: Find the equation of the straight line which passes through the point (3,2) and cuts off intercepts a and b respectively on the x and y axis such that a - b = 2. Answer: Let the equation of the line be ...(i) From the problem, a - b = 2 a = b+2 This line passes through (3,..

Construction - 4 - To construct angles of 90 o , 45 o and 135 o (i) Draw a line AB and mark any point O on it. (ii) With O as centre, draw an arc of any suitable radius which cuts AB at P. (iii) With P as centre and the same radius, cut this arc at Q. (iv) From Q, with the same radius, cu..

Question: In the adjoining figure, AB ^ BD, DE ^ BD, BC = CD and Answer: Given: BC=CD To prove: Proof: Compare triangles ABC and ECD, BC=CD ( given..

Question: The part of line intercepted between the axes is divided by the point (-5,2) in the ratio 2:3. Find the equation of the line. Answer: Then, the intercepts made by the line on the x-axis is a and on y-axis is b. P divides the line joining the point A(a,0) and B(0,b) in the ..

Question: Prove that for the vertices A (x 1 ,y 1 ), B (x 2 ,y 2 ) and C (x 3 ,y 3 ) of a triangle ABC, its centroid is [3 Mark] Answer: ABC is the given triangle in which AD is the median of BC. D divides BC in the ratio 1:1 (D is the midpoint of BC) The co-ordinates of D are..

Question: ABC and ABD are two triangles such that AD=BC, BD=AC. Answer: Data: In triangles ABC and ABD, AD=BC and BD=AC. To prove: Proof: Comparing D ABC and D ABD , BC = AD (data) AC = BD (data) AB = AB (common side to both triangles) ..

Question: In the given figure, D ABC ~ D DEF. If AB = 2DE and area of D ABC = 56 sq.cm, then find the area of D DEF. [2 Mark] Answer: We know that, if D ABC ~ D DEF, then [The ratio of areas of two similar is equal to the ratio of the squares of their corresponding ..