2d and 3d geometry


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Question 5
Question: (a) A right angled triangle ABC has its vertices A (4, 0), B (0, 0) and C (0, 2). Plot the points on a graph paper and find the area of the triangle. (b) Plot the following points on a graph paper and name the figure formed: P (5, -3), Q (5, 0), R (2, 0)..
Question 9
image Question: P is the mid-point of side BC of a D ABC. If Q is the mid-point of AP and BQ when produced meets AC in L, then prove that [3 Mark] Answer: Given: In triangle D ABC, BP = PC and AQ = QP. To prove: Construction: Through P, draw PM pa..
Question 5
Question: In figure, D, E and F are respectively, the mid-points of sides BC, CA and AB of an equilater at triangle ABC. Prove that D DEF is also an equilateral triangle. Answer: Given: D, E and F are mid-points of BC, CA and AB respectively. Dh..
Question 1
Question: Show that the quadrilateral, formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Answer: Given: P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rhombus. Proof: Consider D BAC ( In..
Midpoint Theorem - Test Questions
Question 1 - Question: Show that the quadrilateral, formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Answer: Given: P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rhombus. Proof: Consider D BAC ( In a triangle ..
Question 6
Question: In D PQR, P=40 o , Q=65 o and R=75 o . Name the greatest side and the least side. Answer: (theorem on inequalities) (theorem on inequalities..
Question 3
Question: Answer: Data: To prove: Proof: Comparing D GCB and D DCE, BC=CE (data) ..
Question 4
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) ..
Congruent Triangles - Test Questions
Question 1 - Question: Answer: Data: AB = BC and AD = CE To prove: AD = CE Proof: AB=BC (data) AD=CE (data) BD=BE (If equals are subtracted from equals, the remainders are also equal) In D AEB and D CDB, AB=BC (data) BE=BD (proved above) (common angle to both the triangle..
Question 5
BF = DG (corresponding sides) In D ABF and D DGE, (data) AB = DE (data) BF = DG (from abov..
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