EDGE Math 8

Refer to the given figures. Find the value of x so that $Δ P I L ≅ Δ C A T$ by the indicated theorem. Choose your answer.

Given:

P I = 2 x + 6,

I L = 15,

P L = 3 x + 4,

A C = 20,

A T = x + 8;

Leg-Leg Congruence Theorem

None of the choices

Answer: 7

Given:

m ∠ T = 55^{\circ},

I L = 13 x + 4,

m ∠ L = 55^{\circ},

I P = 24,

A T = 4 x + 13;

Leg-Acute Angle Congruence Theorem

None of the choices

Answer: 1

Given:

I P = 7 x + 4,

P L = 28,

C T = 9 x + 1,

A C = 5 (x + 2);

Hypotenuse-Leg Congruence Theorem

None of the choices

Answer: 3

/ 3