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What is an example of a false statement that has a true converse?
All four-sided polygons are squares. (False) Squares are all four-sided polygons. (True)
All polygons can be constructed entirely from the repetition of a single length of line segment?
This is false. The statement would be true for regular polygons, but not all polygons are regular.
is this statement true or false the incenter of a triangle is equidistant from all three sides of the triangle?
true
Is it true or false that all quadrilaterals are polygons?
Yes, by definition, quadrilaterals are a type of polygone (specifically any that has exactly four sides).
How is the triangle alike to the pentagon and hexagon?
there all polygons and have angles
What is an example of a false statement that has a true converse?
All four-sided polygons are squares. (False) Squares are all four-sided polygons. (True)
All polygons can be constructed entirely from the repetition of a single length of line segment?
This is false. The statement would be true for regular polygons, but not all polygons are regular.
is this statement true or false the incenter of a triangle is equidistant from all three sides of the triangle?
true
Is it true or false that an obtuse triangle can never share all the properties of a right triangle and y?
true
What does a triangle pentagon and square have in common?
they are all polygons
True or false a triangle can be both right-angled and equilateral?
False. All angles of an equilateral triangle are 60 degrees.
An acute triangle is a triangle that has one 90 degree angle true or false?
False. That is a right (-angled) triangle. An acute triangle has all three angles less than 90o
True or false Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
False
Is it true or false that all quadrilaterals are polygons?
Yes, by definition, quadrilaterals are a type of polygone (specifically any that has exactly four sides).
Are all quadrilaterals polygons true or false?
True. All quadrilaterals are polygons because they are closed, two-dimensional shapes with four straight sides. Polygon is a general term that includes any shape with three or more sides, and since quadrilaterals meet this criterion, they fall under the category of polygons.
What do a triangle rectangle and pentagon have in common?
They are all polygons
Are all 3-sided polygons a triangle?
Yes.
