UNIT 4 LESSON 1: ANGLE MEASURES AND SIDES OF 2 TRIANGLES

HINGE THEOREM

Explore the Hinge Theorem Click the checkboxes and move the endpoints of the triangles to see what happens.

HINGE THEOREM QUESTION

Two of the sides of the triangles are congruent. When angle A is greater than angle B, what is the relationship between line segment EC and FD?

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A
line segment EC is equal to line segment FD
B
line segment EC is greater than line segment FD
C
line segment EC is less than line segment FD

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ANGLE MEASURES AND SIDE LENGTH RELATIONSHIPS BETWEEN TWO TRIANGLES

Given and which statement is correct?

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A
AB = FD
B
AB < FD
C
AB > FD
D
AB ≤ FD

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CONVERSE OF THE HINGE THEOREM

Explore the Converse of the Hinge Theorem Click the checkboxes and move the endpoints of the triangles to see what happens.

HINGE THEOREM QUESTION

Two of the sides of the triangles are congruent. When line segment EC is less than line segment FD, what is the relationship between angle A and angle B?

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A
angle A is equal to angle B
B
angle A is greater than angle B
C
angle A is less than angle B

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Given AC ≅ FE and CB ≅ ED which statement is correct?

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A
Angle A is larger than angle B.
B
Angle C is congruent to angle E.
C
Angle C is smaller than angle E.
D
Angle C is larger than angle E.

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A farmer is building three triangular pens such that . If UV > US > SR, which is a true statement?

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A
m∠UTV = m∠UTS = m∠STR
B
m∠UTV < m∠UTS < m∠STR
C
m∠UTS > m∠UTV > m∠STR
D
m∠UTV > m∠UTS > m∠STR

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UNIT 4 LESSON 1: ANGLE MEASURES AND SIDES OF 2 TRIANGLES

HINGE THEOREM

HINGE THEOREM QUESTION

ANGLE MEASURES AND SIDE LENGTH RELATIONSHIPS BETWEEN TWO TRIANGLES

CONVERSE OF THE HINGE THEOREM

HINGE THEOREM QUESTION

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