Class 10 SIMILAR TRIANGLE OBJECTIVE QUESTION

X Class 10 Triangle Case based MCQs

1 mark each

Q1. If in two triangles ABC and PQR, AB/ QR =BC/ PR= CA/ PQ , then

(A) DPQR ~ DCAB (B) DPQR ~ DABC

Q2. In ΔABC, DE II BC intersecting AB at D and AC at E, AD = 1cm, DB = 3cm, AE

= 1.5cm, AC =?

(A) 6 cm (B) 10 cm

Q3. In ΔABC, D is a point on AB and E is a point on AC, DE is joined. AD = 2, DB

= 3, AE = 3 cm, EC = 4.5. Is DE II BC?

Q4. The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the

length of the side of the rhombus is

(A) 9 cm (B) 10 cm

Q5. In triangles ABC and DEF, ÐB = ÐE, ÐF = ÐC and AB = 3 DE. Then, the two

triangles are

(A) congruent but not similar (B) similar but not congruent

Q.6 The perimeters of two similar triangles ABC and PQR are respectively 36cm

and 48cm. If PQ = 12cm, then AB =

(a) 16cm (b) 20cm

Q.7 In a DABC , AD is the bisector ofÐBAC . If AB = 12cm, AC = 10cm and BD =

6cm, then DC =

(a) 22.6cm (b) 5cm

Q.8 ABC and BDE are two equilateral triangles such that D is the midpoint of BC.

Ratio of the areas of triangles ABC and BDE is

(a) 2:1 (b) 1:2 (c) 4:1 (d) 1:4

Q.9 Which False?

(a) All quadrilateral triangles are similar. (b) All circles are similar.

(c ) All isosceles triangles are similar. (d) All 30° . 60° . 90° triangles are similar.

Q.10 Two isosceles triangles have equal vertical angles and their areas are in the ratio16 :25. Then the ratios of their corresponding heights are

(a) 16 :25 (b) 256 : 625 (c) 4 : 5 (d) 3 : 5

Q.11 If DABC ~ DEDF and DABC is not similar to DDEF , then which of the following is not true?

(a) BC.EF=AC.FD (b) AB.EF=AC.DE

Q.12 Sides of two similar triangles are in the ratio of 4 : 9. Areas of these triangles are in the ratio. (a) 2 :3 (b) 4 :9 (c) 81 :16 (d) 16 : 81

Q.13 If D ABC , and DDEF are similar triangles such that Ð430 and Ð870 then ÐC =

(a) 50 (b) 60 (c) 70 (d) None of these

Q.14 Two triangles are similar but not congruent and the lengths of the sides of the first are 6cm, 11cm and 12cm. The ratio of corresponding sides of first and second triangle is 1 : 2. What is the perimeter of the second triangle:

(a) 29cm (b) 53cm (c) 58cm (d) 56cm

Q.15 For the above triangle, if AD=z, DB = z-2, AE = z+2 and EC= z -1, then z =

(a) 2 (b) 3 (c) 4 (d) 1

Q.16 In an isosceles triangle ABC, If AC = BC and AB2 = 2 AC2, then ÐC=

(a) 45 (b) 60

Q.17 In triangles ABC and DEF, ÐB = ÐE,ÐF = ÐC and AB = 3DE . Then, two triangles are

(a) congruent but not similar. (b) similar but not congruent.

(c ) neither congruent nor similar. (d) congruent as well as similar.

Download More Practice Material to excel in Exam

Similar Triangle

Comments

CBSE ADDA :By Jsunil Sir : Your Ultimate Destination for CBSE Exam Preparation and Academic Insights

Class 10 Chapter 02 Acid Bases and Salts NCERT Activity Explanation

NCERT Activity Chapter 02 Acid Bases and Salt Class 10 Chemistry Activity 2.1 Indicator Acid Base Red litmus No Change Blue Blue Litmus Red No change Phenolphthalein Colourless Pink Methyl Orange Pink Yellow Indictors are substance which change colour in acidic or basic media. Activity 2.2 There are some substances whose odour changes in in acidic or basic media. These are called olfactory indicators. Like onion vanilla, onion and clove. These changes smell in basic solution. Activity 2.3 Take about 5 mL of dilute sulphuric acid in a test tube and add few pieces of zinc granules to it. => You will observe bubbles of hydrogen gas on the surface of zinc granules. Zn + H2SO4 --> ZnSO4 + H2 => Pass the Hydrogen gas through the soap solution. Bubbles formed in the soap solution as Hydrogen gas it does not get d...

CBSE I NCERT 10th Numerical Problem solved Reflection and reflection of light

Q. 1. A concave mirror of focal length 20cm is placed 50 cm from a wall. How far from the wall an object be placed to form its real image on the wall? Solution: V= -50 cm F= -20cm From mirror formula 1/u = 1/f – 1/v = -1/20+ 1/50 = - 3/100 U = - 33.3 cm Therefore, the distance of the object from the wall x = 50 – u X = 50 – 33.3 = 16.7 cm. Q.2. An object is placed at a distance of 40cm from a concave mirror of focal length 15cm. If the object is displaced through a distance of 20 cm towards the mirror, By how much distance is the image displaced? Answer: Here f = - 15 cm, u = - 40 cm Now 1/f = 1/u + 1/v Then 1/v = 1/f – 1/u Or V= uf/u-f =( - 40 x -15)/25 = -24 cm Then object is displaced towards the mirror let u1 be the distance object from the Mirror in its new position. Then u1 = -(40-20) = -20cm If the image is formed at a distance u1 from the mirror then v1 = u1f/u1-f = -20X-15/-20+15 = -60 cm. = - 20 x-15/-20+15 = -60 ...

Living science ratna sagar class 6 solutions

Ratna sagar living science 6 answers by jsunil. Class6 Living science solution Term-1 Living Science Solution chapter-1 Source of food Download File Living Science Solution chapter-2 Component of food Download File Living Science Solution chapter-3 Fibre to fabric Download File Living Science Sol ch-4 Sorting of material into group Download File Living Science Soln ch-5 Separation of substance Download File Living Science Solution chapter-6 Change around Us Download File Living Science Solution ch-7 Living and Non Living Download File Living Science Solution ch-8 Getting to Know Plants Download File Living Science Sol ch-9 The Body and Its movements Download File Visit given link for full answer Class6 Living science solution Term-II

Class 10 Metal and Non MetalsChapter 03 NCERT Activity Solutions

X Class 10 NCERT Activity Explanation Class 10 Metals and Non Metals Activity 3.1 Page No. 37 Take samples of iron, copper, aluminium and magnesium. Note the appearance of each sample. They have a shining surface. Clean the surface of each sample by rubbing them with sand paper and note their appearance again. They become more shiny. => Freshly cut Metal have shiny surface Activity 3.2 Page No. 37 Take small pieces of iron, copper, aluminium, and magnesium. Try to cut these metals with a sharp knife and note your observations. They are very hard to cut. Hold a piece of sodium metal with a pair of tongs and try to cut it with a knife. Sodium can be cut easily with knife. Hence K and Na are soft metal cut with knife Activity 3.3 Page No. 38 Take pieces of iron, zinc, lead and copper try to strike it four or five times with a hammer. These metals are beaten into thin sheet on hammering. This property of metal is called malleability and metals are called malleable. Activity 3.4 Page ...

Class 09 Atoms and Molecules Numerical Problem based on Law of chemical Combination(Solved)

Class 09 Atoms and Molecules Numerical Problem based on Law of chemical Combination Law of conservation of mass Law of constant proportion Empirical formula 1. If 10 grams of CaCO 3 on heating gave 4.4g of CO 2 and 5.6g of CaO, show that these observations are in agreement with the law of conservation of mass.(Based on Law of conservation of mass) Solution: Mass of the reactants = 10g ; Mass of the products = 4.4 + 6.6g = 10g Since the mass of the reactants is equal to the mass of the products, the observations are in agreement with the law of conservation of mass. 2. 1.375 g of cupric oxide was reduced by heating and the weight of copper that remained was 1.098g. In another experiment 1.179 g of copper was dissolved in nitric acid and the resulting copper nitrate was converted into cupric oxide by ignition . The weight of cupric oxide formed was 1.476 g. which law of chemical combinations does this data state? Solution: in first experiment: Copper oxide = 1....

CBSE ADDA

Search This Blog