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WorksheetsGrade 8 Theorems of Triangle Inequalities by Milo
Total questions: 30
Worksheet time: 16mins
The measure of the exterior angle is always greater than either of the two remote interior angles of a triangle.
Theorem 1
Theorem 2
Theorem 3
Theorem 4
The measure of an exterior angles is equal to the sum of the two remote interior angles.
Theorem 1
Theorem 2
Theorem 3
Theorem 4
The angle opposite the longest side is the largest angle.
Theorem 1
Theorem 2
Theorem 3
The side opposite the largest angle is the longest side.
Theorem 1
Theorem 2
Theorem 3
Theorem 4
If side AB is the longest side, then what is the largest angle?
∠A
∠B
∠C
∠M
If ∠A is the smallest angle, then what is the shortest side?
Side AB
Side BC
Side AC
∠M
If ∠C is the largest angle, then what is the longest side?
Side AB
Side BC
Side AC
∠M
What theorem of triangle inequalities is not applicable in the picture?
Theorem 1
Theorem 3
Theorem 4
Theorem 5
m∠C < m∠A + m∠B. What theorem is observed from this given?
Theorem 1
Theorem 3
Theorem 5
Theorem 2
m∠W > m∠X. What theorem is observed from the given?
Theorem 1
Theorem 2
Theorem 3
Theorem 4
m∠W = m∠X + m∠Y. What theorem is observed from the given?
Theorem 1
Theorem 2
Theorem 3
Theorem 4
If ∠1 is our exterior angle, then what angle is not included as its remote interior angle?
∠B
∠A
∠C
Fill in the blank. m∠2 _ m∠C
=
>
<
Fill in the blank. m∠2 _ m∠A
=
>
<
Fill in the blank. m∠2 _ m∠C + m∠A
=
>
<
What angle is not a part of the triangle shown?
A
B
C
D
What side is not a part of the triangle shown?
Side AB
Side AC
Side BC
Side AD
What is the exterior angle?
∠Z
∠X
∠W
∠Y
What is the value of x?
What is the measurement of ∠W?
(a)
What is the sum of all the interior angles of a triangle?
(a)
The sum of the measurements of any two sides of a triangle is always greater than the measurement of the third side.
Theorem 2
Theorem 5
Theorem 6
Theorem 7
If two sides of two triangles are congruent, then the triangle with a larger included angle has a longer third side than the other.
Theorem 7
Theorem 5
Theorem 6
If two sides of two triangles are congruent, then the triangle with a longer third side has a larger included angle.
Theorem 5
Theorem 6
Theorem 7
AC + AB > BC. What theorem is observed in the given?
Theorem 5
Theorem 6
Theorem 7
AC + AB = BC. True or False?
True
False
Given that AC ≈ AB ≈ PR ≈ PQ, with CB = 15 cm and RQ = 14 cm, which included angle (∠A or ∠P) is larger?
∠A
∠P
If you add the sum of all the interior angles of two (2) triangles, what measurement do you have?
90°
180°
260°
360°
What is the measurement of a right angle?
(a)
What theorem states that the sum of any two sides of a triangle is greater than the measure of the third side?
Theorem 3
Theorem 4
Theorem 5
Theorem 7
If 10 triangles, each with no congruent sides, are provided, how many sides are there in total?
(a)
