Question

Q-18 Observe the below given figures carefully and answer the questions

(a) Which among the above shown figures are congruent figures ?
a) A and C
b) E and F
c) D and F
d ) B and F
(b) choose the correct statement
a. all the similar figures are congruent
b. all congruent figures are similar
c. the criteria for similarity and congruency is same
d. similar figures have same size and shape

(c) if a line divides any two if a line divides any two sides of a triangle in the same ratio then the line is parallel to the third side the statement depicts which theorem
a. Pythagoras
b Thales theorem
c. Converse of Thales theorem
d. Converse of Pythagoras theorem

(d) a a man standing near the tree at height is 5 feet 2 this ground 7 feet and the tree next to him is 14 fit to the ground and his height is X metre using the concept of similarity the height of the tree is
a. 7ft
b. 10 ft
c. 12 ft
d. 15 ft

(e) the similar triangle ABC and triangle d e f will be congruent to each other when
a. 2ar( ABC) = ar ( DEF)
b. ar (ABC) = ar ( DEF)​

Answer 1

Q-18 Observe the below given figures carefully and answer the questions :-

(a) Which among the above shown figures are congruent figures ?

a) A and C

b) E and F

c) D and F

d ) B and F

Answer :- d ) B and F .

we know that,

• Two figures or objects are congruent if they have the same shape and size .
• or, we can say that, one figure can exactly place up on the second figure . { Like mirror image. }

(b) choose the correct statement

a. all the similar figures are congruent

b. all congruent figures are similar

c. the criteria for similarity and congruency is same

d. similar figures have same size and shape

Answer :- b. all congruent figures are similar .

• All congruent figures are similar but not all similar figures are congruent .

(c) if a line divides any two sides of a triangle in the same ratio then the line is parallel to the third side the statement depicts which theorem

a. Pythagoras

b Thales theorem

c. Converse of Thales theorem

d. Converse of Pythagoras theorem

Answer :- c. Converse of Thales theorem .

Converse of Thales theorem or BPT theorem says that, if a line divides any two sides of a triangle in the same ratio then the line is parallel to the third side .

(d) A man standing near the tree at height is 5 feet 2 this ground 7 feet and the tree next to him is 14 fit to the ground and his height is X metre using the concept of similarity the height of the tree is

a. 7ft

b. 10 ft

c. 12 ft

d. 15 ft

Answer :-

→ Height of man = 5 feet .

→ shadow = 7 feet .

→ Height of tree = X feet .

→ Shadow of tree = 14 feet .

so, by similarity,

→ 5/x = 7 / 14

→ 5/x = 1/2

→ x = 10 ft (b) (Ans.)

(e) the similar triangle ABC and triangle DEF will be congruent to each other when

a. 2ar( ABC) = ar ( DEF)

b. ar (ABC) = ar ( DEF)

Answer :- b. ar (ABC) = ar ( DEF)

• when two triangles are congruent , they have equal area .

Learn more :-

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Answer 2

Step-by-step explanation:

que. 1 - ...................??

ans. - B and F (d)

que. 2 - ...................??

ans. - all congruents fig. are similar

que. 3 - ....................??

ans. - converse of thales theorem

que. 4 - .....................??

ans. - 10 ft

que. 5 - .....................??

ans. - ar (ABC) = ar (DEF)