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- Triangle Inequality Theorem & Congruent Triangles Flashcard
Triangle Inequality Theorem & Congruent Triangles FLASHCARD
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
Which set of numbers can represent the side lengths of a triangle? {5,18,13}, {6,17,22}, {16,24,7}, {26,8,15}
Back
{6,17,22} because 6 + 17 > 22, 6 + 22 > 17, and 17 + 22 > 6.
3.
FLASHCARD QUESTION
Front
Which set of numbers does not represent the lengths of the sides of a triangle? {2 cm, 6 cm, 7 cm}, {5 cm, 2 cm, 5 cm}, {5 cm, 5 cm, 8 cm}, {3 cm, 10 cm, 15 cm}
Back
{3 cm, 10 cm, 15 cm} because 3 + 10 is not greater than 15.
4.
FLASHCARD QUESTION
Front
If ΔPQR ≅ ΔLJK, and PR=2x+6, JL=10 units, LK=3x-6, find the value of x.
Back
x = 12.
5.
FLASHCARD QUESTION
Front
What does it mean for two triangles to be congruent?
Back
Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.
6.
FLASHCARD QUESTION
Front
If two sides of a triangle are 5 cm and 7 cm, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 2 cm and less than 12 cm.
7.
FLASHCARD QUESTION
Front
What is the definition of congruent triangles?
Back
Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.
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