Look at the information given and answer the following questions.

(a)  Triangle A is congruent to which triangles above?

B

C

D

E

F

G

H

I

(b)  Triangle B is congruent to which triangles above?

A

C

D

E

F

G

H

I

(c)  Triangle C is congruent to which triangles above?

A

B

D

E

F

G

H

I

(a)  How many possible different triangles are there that satisfy the conditions for ABC above?
      
(b)  Are they similar, congruent or neither similar nor congruent? SimilarCongruent Neither similar nor congruent

(a)  Calculate the length of AB. cm

(b)  What is the size of the angle ABC? °

(c)  Calculate the length of HJ. (Give your answer correct ot 1 d.p.) cm

(a)  If DC = 3 cm, what is the ratio of the areas of the rectangles? 1 :

(b)  If the ratio of the areas is 9 : 16, what is the length of DC?

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