Triangle Inequality Theorems
9th Grade
•22 Qs
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Triangle Inequality Theorems
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+7
Standards-aligned
Used 1K+ times
FREE Resource
About this resource
This quiz focuses on triangle inequality theorems, which is a fundamental topic in high school geometry typically taught at the 9th grade level. Students must understand that the sum of any two sides of a triangle must be greater than the third side, and they need to grasp the relationship between side lengths and opposite angles. The core concepts include applying the triangle inequality theorem to determine whether three given lengths can form a triangle, understanding that the longest side is opposite the largest angle and the shortest side is opposite the smallest angle, and finding ranges of possible values for unknown side lengths. Students must demonstrate computational skills to test multiple combinations of side lengths, logical reasoning to eliminate impossible triangles, and the ability to set up and solve inequalities when determining ranges for unknown sides. This quiz was created by a classroom teacher who designed it for students studying triangle inequality theorems in grade 9. The comprehensive question set provides excellent support for geometry instruction through varied application of the triangle inequality concept, moving from basic theorem recognition to complex problem-solving scenarios. Teachers can effectively use this quiz as a formative assessment to gauge student understanding before moving to more advanced triangle properties, as homework practice to reinforce classroom instruction, or as a review tool before unit tests. The progression from definition-based questions to applied problems makes it ideal for differentiated instruction, allowing teachers to identify which students have mastered the conceptual foundation versus those ready for challenge problems involving algebraic expressions and range calculations. This assessment aligns with Common Core standard HSG-MG.A.3 and supports the geometric reasoning standards that require students to apply geometric theorems to solve problems.
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22 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The Triangle Inequality Theorem deals with _______ of a triangle
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Name the smallest angle in this triangle.
Tags
CCSS.HSG.CO.C.10
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Name the largest angle in this triangle.
Tags
CCSS.HSG.CO.C.10
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Does a triangle with these side lengths exist?
15, 12, 9
Tags
CCSS.7.G.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Does a triangle with these side lengths exist?
33, 16, 17
Tags
CCSS.7.G.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Does a triangle with these side lengths exist?
20, 10, 9
Tags
CCSS.7.G.A.2
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