Hinge Theorem & Converse

Tags

CCSS.8.G.A.2

Compare RT and VX

• RT=VX

• RT<VX

• RT>VX

Tags

CCSS.HSG.CO.C.10

Tags

CCSS.HSG.CO.C.10

Definition of Converse of Hinge Theorem

• If two sides of one triangle are congruent to two sides of another triangle,  and the third side of the first triangle is longer than the third side of the second triangle,  then and angle in the first triangle are larger than an angle in the second triangle.

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

• If two sides of triangle,  and the third side of the first triangle is longer than the third side of the second triangle,  then the included angles in the first triangle are larger than the included angle in the second triangle.

• If two sides of one triangle are congruent to two sides of another triangle,  and the third side of the first triangle is longer than the third side of the second triangle,  then the included angles in the first triangle are smaller than the included angle in the second triangle.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.B.7

CCSS.HSG.SRT.B.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.8

Tags

CCSS.HSG.CO.C.9

Definition of Hinge Theorem

• If two triangles have two sides congruent to each other, but one of the included angles is wider, that means that the third side of that triangle is longer.

• If two triangles have two sides congruent to each other, but one of the third side is longer, that means that the included angle of that triangle is wider.

• If two triangles have one side congruent to each other, then that means the each triangle is congruent to one another.

• Each triangle is congruent, if they have 3 measured same side lengths.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Tags

CCSS.HSG.CO.C.10

Tags

CCSS.HSG.CO.B.7

Tags

CCSS.HSG.CO.C.10

Only Write the Symbol: AD___CD

Tags

CCSS.HSG.CO.C.9