Practice Test

Q1) ABC and BDE are two equilateral triangles such that D is the mid -point of BC. Ratio of the areas of triangles ABC and BDE is: Show Answer

Q2) Sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio: Show Answer

Q3) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A):If in two right triangles , both have equal right angles and one of the acute angles of one triangle, then triangles will be similar.
Reason(R):If the ratio of the corresponding altitude of two similar triangles is 3/5, then the ratio of their areas is6/5. Show Answer

Q4) In a right triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is: Show Answer

Q5) A boy walks 12 m due east and 5 m due south. How far is he from the starting point? Show Answer

Q6) Which of the following set of lengths can be the sides of a triangle? Show Answer

Q7) Let ABC be a triangle with AB = 3 cm and AC = 5 cm. If AD is a median drawn from the vertex A to the side BC, then which one of the following is correct? Show Answer

Q8) The sum of the perpendiculars drawn from an interior point of an equilateral traingle is 20 cm. What is the length of side of the triangle? Show Answer

Q9) The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle? Show Answer

Q10) The point of concurrence of the altitudes of a triangle is called: Show Answer

Q11) In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is: Show Answer

Q12) The perimeters of two similar triangles ABC and XYZ are 35 cm and 45 cm respectively. Then the ratio of the areas of the two triangles is ............ Show Answer

Q13) If the areas of two similar triangles are equal, then these triangles are ........... Show Answer

Q14) ABC is an equilatral triangle of side a, then length of one of its altitude is Show Answer

Q15) The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is: Show Answer

Q16) Her distance from the base of the lamp post is: Show Answer

Q17) The correct similarity criteria applicable for triangles ABE and CDE is: Show Answer

Q18) The length of her shadow after 4 seconds is: Show Answer

Q19) Sides of two similar triangles are in the ratio 9 : 16. The ratio of Corresponding areas of these triangles. Show Answer

Q20) The ratio AC:CE. Show Answer

Q21) Which is the correct similarity criteria is used for above triangles ABC and XBY? Show Answer

Q22) Rahul tied the sticks at what angles to each other? Show Answer

Q23) The correct similarity criteria applicable for smaller triangles at the upper part of this kite is: Show Answer

Q24) Sides of two similar triangles are in the ratio 4:9. Corresponding medians of these triangles are in the ratio: Show Answer

Q25) In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. This theorem is called as: Show Answer

Q26) The area of the kite, formed by two perpendicular sticks of length 6 cm and 8 cm is: Show Answer

Q27) What is the ratio of the perimeters of the triangle formed by both hotels and mountain top to the triangle formed by both huts and mountain top? Show Answer

Q28) The distance between the hotel A and hut-1 is: Show Answer

Q29) If the horizontal distance between the hut-1 and hut-2 is 8 miles, then the distance between the two hotels is: Show Answer

Q30) If the distance from mountain top to hut-1 is 5 miles more than that of distance from hotel B to mountain top, then what is the distance between hut-2 and mountain top? Show Answer

Q31) What is the ratio of areas of two parts formed in the complete figure? Show Answer

Q32) The length of AB is: Show Answer

Q33) The length of CD is: Show Answer

Q34) Area of whole empty land is: Show Answer

Q35) What will effect the similarity of any two polygons? Show Answer

Q36) If two similar triangles have a scale factor of a:b, which statement regarding the two triangles is true? Show Answer

Q37) What is the measurement of angle A’? Show Answer

Q38) What is the length of A 'B'? Show Answer

Q39) What is the sum of angles of quadrilateral A'B'C'D'? Show Answer

Q40) What is the ratio of sides A'B' and A'D'? Show Answer

Q41) What is the sum of angles C' and D'? Show Answer

Q42) What is the height of the tower? Show Answer

Q43) What will be the length of the shadow of the tower when Vijay's house casts a shadow of 12 m? Show Answer

Q44) What is the height of Ajay's house? Show Answer

Q45) When the tower casts a shadow of 40 m, same time what will be the length of the shadow of Ajay's house? Show Answer

Q46) When the tower casts a shadow of 40 m, same time what will be the length of the shadow of Vijay's house? Show Answer

Q47) Which property of geometry will be used to find the distance AC? Show Answer

Q48) What is the distance AC? Show Answer

Q49) Which is the following does not form a Pythagoras triplet? Show Answer

Q50) Find the length AB? Show Answer

Q51) Find the length of the rope used. Show Answer

Q52) If the length of the model is 11cm, then the overall length of the engine in the photograph above, including the couplings (mechanism used to connect) is: Show Answer

Q53) What will affect the similarity of any two polygons? Show Answer

Q54) What is the actual width of the door if the width of the door in photograph is 0.35cm? Show Answer

Q55) If two similar triangles have a scale factor 5:3 which statement regarding the two triangles is true? Show Answer

Q56) Sides of two similar triangles are in the ratio 3:7. Areas of these triangles are in the ratio Show Answer

Q57) The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is Show Answer