How many congruent triangles are there in the figure other than the tr..
How many congruent triangles are there in the figure other than the triangles BEF and CDE, if P and Q are the mid-points of BF and CE respectively? => 3 or 4 or 5 or 2..
Congruent Triangles
Every geometric figure has a shape and a size. Two circles of different radii have the same shape but their sizes are different. But if we draw two circles of the same radius both the shape and size will be the same. Such figures with the same shape and size are called ..
Mid - Point Theorem
The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. P, Q are the mid-points of the sides AB, and AC of (i) PQ || BC (ii) Draw CR || BA to meet PQ produced at ..
The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. P, Q are the mid-points of the sides AB, and AC of (i) PQ || BC (ii) Draw CR || BA to meet PQ produced at ..Problems on Congruent Triangles
Problems on Congruent Triangles - Prove that AP = BQ (see the figure). and AQ = BP AP = ..
Problems on Congruent Triangles - Prove that AP = BQ (see the figure). and AQ = BP AP = ..What is the ratio of areas of the two triangles ABC and ACD, if the po..
What is the ratio of areas of the two triangles ABC and ACD, if the point C is the mid-point of BD as shown in the figure? => 1 : 2 or 2 : 1 or 1 : 1 or 1 : 3..
Converse of Mid-Point Theorem
Converse of Mid-Point Theorem - The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at ..
Converse of Mid-Point Theorem - The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at ..In the figure, OPQ is a right triangle. If the length of OP is 7 units..
In the figure, OPQ is a right triangle. If the length of OP is 7 units and that of OQ is 9 units, find the vertices of P and Q. => P(- 7, 0) and B(0, 9) or A(0, 7) and B(0, - 9) or A(9, 0) and B(7, 0) or A(7, 0) and B(0, - 9)..
Concurrent line segments in a triangle
Median - Recall a line segment joining the vertex to the mid-point of the opposite side of a triangle. In D ABC, AD is the line segment drawn from A to BC (opposite side of A). AD is a median of a triangle. "The line segment jointing a vertex of a triangle to the ..
Median - Recall a line segment joining the vertex to the mid-point of the opposite side of a triangle. In D ABC, AD is the line segment drawn from A to BC (opposite side of A). AD is a median of a triangle. "The line segment jointing a vertex of a triangle to the ..ΔPQR and ΔABC are congruent triangles. Which of the follow..
ΔPQR and ΔABC are congruent triangles. Which of the following is true? => ∠ C ≅ ∠ P or ∠ P ≅ ∠ A or ∠ P ≅ ∠ B or ∠ Q ≅ ∠ C..
AB = 5 in. and BC = 3 in. The points P, Q, R and S are the mid-points ..
AB = 5 in. and BC = 3 in. The points P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. What is the area of the shaded region in the figure, if the area of the parallelogram ABCD is 12 in. 2 ? => 4 in. 2 or 3.1 in. 2 ..
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