Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Last updated about 1 year ago

18 questions

Required

Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Last updated about 1 year ago

18 questions

Essential Question: How can we determine the angles and side lengths of Isosceles and Equilateral Triangles.

Learning Target: Students will be able to calculate the angles and side lengths of Isosceles and Equilateral Triangles.

Complete the entire document and show all work for full credit.

Part I

Isosceles and Equilateral Triangles

Required

Find the measure of the indicated angle.

m∠C=_______ 
m∠A=_______ 

Required

Solve for x.

Find the measure of the indicated angle.

x=_______ 
m∠T=_______ 
m∠R=_______ 

Required

Solve for x.

Find the measure of the indicated angle.

x=_______ 
m∠C=_______ 
m∠B=_______ 

Required

Solve for x.

Find the length of the indicated side.

x=_______ 
DE=_______ 
m∠E=_______ 

Required

Solve for x.

Find the length of the indicated side.

x=_______ 
OM=_______ 
m∠G=_______ 

Required

Solve for x.

Find the length of the indicated side.

x=_______ 
KL=_______ 
m∠J=_______ 

Required

A regular pentagon has five congruent sides and five 108° angles, as
shown in the figure. Find the angle measures: x = _______ ; y = _______ ;
z = _______ 

Part II

Triangle Inequalities

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
16 m, 21 m, 39 m

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
18 in, 6 in, 13 in
_______+_______ =_______; and 19 _______ 18

Therefore this _______ a triangle

Required

Is it possible to have a triangle with sides of 6cm, 4cm, and 3cm?

Required

Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.
_______ <x<_______ 

Required

Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.

_______ <x<_______

Required

In △ PQR, PQ = 3x + 1, QR = 2x − 2, and PR = x + 7. Determine the range of possible values of x.

Use the Triangle Sum Theorem from your page 5 notes.

_______ ≤ x <_______ 

Required

For each triangle, write the order of the angle measures from least to greatest.
Be sure to include the angle symbol in your answer.    ----> ∠ <----

_______   <   _______    <    _______ 

Required

For each triangle, write the order of the angle measures from least to greatest.
Be sure to include the angle symbol in your answer.          ----> ∠ <----


_______   <   _______    <    _______ 

Required

Suppose a triangle has side lengths PQ, QR, and PR, where PR = 2PQ = 3QR. Write the angle measures in order from least to greatest.

Be sure to include the angle symbol in your answer.          ----> ∠ <----

_______   <   _______    <    _______

Required

For each triangle, write the side lengths in order from least to greatest.

_______ < _______ < _______

Required

For each triangle, write the side lengths in order from least to greatest.

_______ < _______ < _______

Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
16 m, 21 m, 39 m

Is it possible to have a triangle with sides of 6cm, 4cm, and 3cm?

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
16 m, 21 m, 39 m

Is it possible to have a triangle with sides of 6cm, 4cm, and 3cm?

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024)

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.16 m, 21 m, 39 m

Is it possible to have a triangle with sides of 6cm, 4cm, and 3cm?

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.16 m, 21 m, 39 m

Is it possible to have a triangle with sides of 6cm, 4cm, and 3cm?

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

_______ < _______ < _______

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
16 m, 21 m, 39 m

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
16 m, 21 m, 39 m

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____

___ < _ < _____