A Tale of Three Intersecting L...
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What is a triangle?
A triangle is a closed shape made of three sides and three vertices.
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2/19
What are the corners of a triangle called?
The corners of a triangle are called vertices.
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What do the sides of a triangle create?
The sides of a triangle create three angles at the vertices.
4/19
Define an equilateral triangle.
An equilateral triangle is a triangle where all three sides are of equal length.
5/19
What is an isosceles triangle?
An isosceles triangle has two sides that are of equal length.
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What characterizes a scalene triangle?
A scalene triangle has all sides of different lengths.
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What does the triangle inequality state?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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What is the sum of the angles in a triangle?
The sum of the angles in a triangle is always 180°.
9/19
How can you construct an equilateral triangle using a compass?
Draw a base, then draw arcs from each endpoint with the same radius equal to the side length; the intersection is the third vertex.
10/19
Why use circles in triangle construction?
Circles help to determine distances equal to side lengths easily, ensuring accuracy in triangle construction.
11/19
Can you construct a triangle with sides 3 cm, 4 cm, 8 cm?
No, because 3 + 4 is not greater than 8; it doesn't satisfy the triangle inequality.
12/19
What are the steps to construct a triangle with sides 4 cm, 5 cm, and 6 cm?
1. Draw base AB = 4 cm. 2. Use compass from A to mark 5 cm arc. 3. Use compass from B to mark 6 cm arc. 4. Join points to form triangle.
13/19
What is an altitude in a triangle?
An altitude is a perpendicular line segment from a vertex to the opposite side.
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What is an obtuse triangle?
An obtuse triangle has one angle greater than 90°.
15/19
Define an acute triangle.
An acute triangle has all angles less than 90°.
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What characterizes a right triangle?
A right triangle has one angle that is exactly 90°.
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What tools are useful for drawing accurate triangles?
A marked ruler and a compass are essential for accurate triangle construction.
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What's a common mistake when constructing a triangle?
Measuring lengths incorrectly or not ensuring the triangle inequality can lead to failure in construction.
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How are triangles named?
Triangles are named using their vertices. The order of the vertices can vary.
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