Given: A D ‾ ≅ B C ‾ \overline{AD}\cong\overline{BC} A D ≅ B C and m ∠ D A C > m ∠ A C B m\angle DAC\ >\ m\angle ACB m ∠ D A C > m ∠ A C B which statement below is true based on the Hinge Theorem?

m ∠ D C A > m ∠ B A C m\angle DCA>m\angle BAC m ∠ D C A > m ∠ B A C

m ∠ A D C > m ∠ C B A m\angle ADC>m\angle CBA m ∠ A D C > m ∠ C B A

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Math

Geometry

Hinge Theorem

Triangle Inequalities And Hinge Theorem

triangle inequalities and hinge theorem

Authored by Lisa Smith

Mathematics

9th - 12th Grade

CCSS covered

Used 14+ times

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14 questions

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MULTIPLE SELECT QUESTION

3 mins • 1 pt

Select all that are TRUE. You will want to write this one out on paper!

AB > AE

BE > CE

BE > CD

CD < DE

CE > BC

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the largest side in Δ BCD

Segment BC

Segment DB

Segment DC

Segment AB

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Name this triangle by its angles and sides.

acute, scalene

acute, isosceles

obtuse, equilateral

equiangular, equilateral

Tags

CCSS.4.G.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Using the Hinge Theorem, compare QT and ST

$QT\ <\ ST$

$QT\ >\ ST$

$QT\ =\ ST$

$\overline{QT}\ \cong\ \overline{ST}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the largest side in Δ BCD

Segment BC

Segment DB

Segment DC

Segment AB

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: $\overline{AD}\cong\overline{BC}$ and $m\angle DAC\ >\ m\angle ACB$ which statement below is true based on the Hinge Theorem?

$m\angle DCA>m\angle BAC$

$AB>DC$

$m\angle ADC>m\angle CBA$

$DC>AB$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Name this triangle by its sides.

scalene

isosceles

equilateral

obtuse

Tags

CCSS.4.G.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Choose the TRUE statement.

$m\angle HGI\ >\ m\angle JGI$

$m\angle HGI\ \ <\ \ m\angle JGI$

$m\angle HGI=m\angle JGI$

The above statements are all false.

Tags

CCSS.HSG.CO.C.9

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triangle inequalities and hinge theorem

Select all that are TRUE. You will want to write this one out on paper!

Find the largest side in Δ BCD

Name this triangle by its angles and sides.

Using the Hinge Theorem, compare QT and ST

Find the largest side in Δ BCD

Given: $\overline{AD}\cong\overline{BC}$ and $m\angle DAC\ >\ m\angle ACB$ which statement below is true based on the Hinge Theorem?

Name this triangle by its sides.

Identify the smallest angle.

Choose the TRUE statement.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

triangle inequalities and hinge theorem

Select all that are TRUE. You will want to write this one out on paper!

Find the largest side in Δ BCD

Name this triangle by its angles and sides.

Using the Hinge Theorem, compare QT and ST

Find the largest side in Δ BCD

Given: AD‾≅BC‾\overline{AD}\cong\overline{BC}AD≅BC and m∠DAC > m∠ACBm\angle DAC\ >\ m\angle ACBm∠DAC > m∠ACB which statement below is true based on the Hinge Theorem?

Name this triangle by its sides.

Identify the smallest angle.

Choose the TRUE statement.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given: $\overline{AD}\cong\overline{BC}$ and $m\angle DAC\ >\ m\angle ACB$ which statement below is true based on the Hinge Theorem?