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shapes have the same shapes but different sizes.

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Important Questions on Triangles

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All squares are- Similar or Congruent
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Are all triangles similar-Equilateral or Isosceles.
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ABC~PQR and A+B=115°, then R=_____.
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Squares of all sizes are similar.

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What are the conditions for the similarity of the polygons?
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All squares are similar

HARD

Let ABC be a triangle and M be a point on side AC closer to vertex C than A. Let N be a point on side AB such that MN is parallel to BC and let P be a point  on side BC such that MP is parallel to AB. If the area of the quadrilateral BNMP is equal to 518 of the area of ΔABC, then the ratio AM/MC equals

EASY

3 squares are represented in the following three figures. For this figure, _____statement is true.

Question Image

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Fill in the blank using the correct word given in the bracket.

All circles are _____ (Congruent, similar)

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What is the meaning of similarity?
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The sides of two similar triangles are in ratio 2:3, then their areas are in ratio
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In a quadrilateral ABCD, which is not a trapezium, it is known that DAB=ABC=60°. Moreover, CAB=CBD. Then
EASY
Congruent figures are _____.
HARD
Let C1,C2 be two circles touching each other externally at the point A and let AB be the diameter of circle C1. Draw a secant BA3 to circle C2 , intersecting circle C1 at a point A1A, and circle C2 at points A2 and A3. If BA1=2,BA2=3 and BA3=4 then the radii of circles C1 and C2 are respectively
MEDIUM
ABC~RQP and AB=4 cm, BC=6 cm and AC=5 cm. If ar(ABC):ar(PQR)=9:4, then PQ is equal to:
MEDIUM
Suppose BC is a given line segment in the plane and T is a scalene triangle. The number of points A in the plane such that the triangle with vertices A,B,C (in same order) is similar to triangle T is
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What are congruent circles?

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Which of the following statement is correct?
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Suppose we have to cover the xy -plane with identical tiles such that no two tiles overlap and no gap is left between the tiles. Suppose that we can choose tiles of the following shapes; equilateral triangle, square, regular pentagon, regular hexagon. Then the tiling can be done with tiles of