From the given figure prove that i) ΔABC and ΔDEF are congruent ii) A F = DC

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Explanation:

1. ∠ABC ≅ ∠DEF ≅ 90° . . . . given

2. BC ≅ FE, BC║FE . . . . given

3. ∠BCF ≅ ∠EFC . . . . alternate interior angles

4. ΔABC ≅ ΔDEF . . . . ASA

5. CA ≅ FD . . . . CPCTC

6. FC ≅ CF . . . . reflexive property of congruence

7. CA -CF ≅ FD -FC . . . . addition property of equality

8. FA ≅ CD . . . . segment sum theorem

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2