Triangles Unit Test
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Question
Use the image to answer the question.
A number line with arrows at both the ends ranges from negative 5 to 5 in unit increments. The number line shows closed points on the following numbers along with letters labeled above the points: A for negative 4, B for negative 1, C for 3, and D for 4.
A triangle has no congruent sides. The lengths of two sides of the triangle are AB and BD . Use the number line above to determine the lengths of AB and BD . Then, use the Triangle Inequality Theorem to determine which two segments have lengths that could be used as the third side of the triangle. Select a response containing 2 possible answers.
(1 point)
Responses
CD and AC
cap c cap d and cap A cap c
BC and CD
cap b cap c and cap c cap d
BC and AD
cap b cap c and cap A cap d
AC and BC
cap A cap c and cap b cap c
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The lengths of AB and BD can be determined using the number line. AB can be determined by the distance between points A and B, which is 4 units. BD can be determined by the distance between points B and D, which is 5 units.
According to the Triangle Inequality Theorem, for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
From the options given, the two segments that could be used as the third side of the triangle are CD and AC. Therefore, the correct response is "CD and AC."