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URGENT, LAST 2 QUESTION!! WILL GIVE BRANLIEST!!! AT LEAST TAKE A LOOK!!

1. Which theorem would explain why PQ > SR?
FIRST IMAGE BELOW

A) Triangle Inequality Theorem
B) Pythagorean Theorem
C) Hinge Theorem
D) Converse of Hinge Theorem


2. What could you prove about the following diagram, using the Hinge Theorem?
SEOND IMAGE
A) HJ>HK
B) HK>HI
C) IJ>JK

URGENT LAST 2 QUESTION WILL GIVE BRANLIEST AT LEAST TAKE A LOOK1 Which theorem would explain why PQ gt SRFIRST IMAGE BELOWA Triangle Inequality TheoremB Pythago class=
URGENT LAST 2 QUESTION WILL GIVE BRANLIEST AT LEAST TAKE A LOOK1 Which theorem would explain why PQ gt SRFIRST IMAGE BELOWA Triangle Inequality TheoremB Pythago class=

Respuesta :

Answer:

1.

D) Converse of Hinge Theorem

2.

C)IJ>JK

Step-by-step explanation:

1.

The Triangle Inequality Theorem is

the two smallest sides sum is greater than the largest side.

Pythagorean Theorem is

finding out the hypotenuse of a triangle.

Hinge Theorem is

"two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle" -Wikipedia

Converse of Hinge Theorem is

"If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle."

-Wikipedia

Our answer is the Converse of Hinge Theorem.

2.

Since ∠HIJ is larger than ∠HJK, then IJ>JK using the Hinge Theorem.

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