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Copy of Copy of #9 Isosceles and Equilateral Triangles and Triangle Inequalities (Due 2-17-22) (4/17/2024) (7/21/2024)

Last updated 8 months 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
10
Find the measure of the indicated angle.

m∠C=_______
m∠A=_______
Required
10
Solve for x.

Find the measure of the indicated angle.

x=_______
m∠T=_______
m∠R=_______
Required
10
Solve for x.

Find the measure of the indicated angle.

x=_______
m∠C=_______
m∠B=_______
Required
10
Solve for x.

Find the length of the indicated side.

x=_______
DE=_______
m∠E=_______
Required
10
Solve for x.

Find the length of the indicated side.

x=_______
OM=_______
m∠G=_______
Required
10
Solve for x.

Find the length of the indicated side.

x=_______
KL=_______
m∠J=_______
Required
10
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



5

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

5
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
10

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

Required
10
Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.
_______ <x<_______
Required
10
Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.


_______ <x<_______
Required
10
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
9
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
9
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
9
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
9
For each triangle, write the side lengths in order from least to greatest.


_______ < _______ < _______

Required
9
For each triangle, write the side lengths in order from least to greatest.


_______ < _______ < _______