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Geometry

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Melvina Boyle

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Cards in this guide (22)
A rule that is accepted true without proof

A rule or a statement that is accepted without proof is a postulate.

Isosceles triangles may be obtuse or acute but never right

false

What is the greatest number of right angles that a triangle can contain

1 (APEX)

A triangle is formed by three lines. If the ends of two lines meet to form a right-angle (90 degrees), the third line can only form angles less than 90 degrees.

90 + 45 + 45 = 180 the three angles must total 180 degrees.

Are some isosceles triangles equilateral triangles

Yep. All equilateral triangles are isosceles triangles.

True or false A corollary is a statement that can be easily proved using a theorem

For Apex the answer is “True“.

To begin an indirect proof you assume the converse of what you intend to prove is true

false

All isosceles triangles are also equilateral triangles

No. All equilateral triangles are isosceles, but not all isosceles triangles are equilateral.

The lengths of 2 sides of an isosceles triangle are 7 and 5 what are all the possible lengths of the third side

An isosceles triangle must have two sides of equal size.

Since you have a side of 7 and 5, for it to be isosceles, your third side must be either 7 or 5.

A triangle has two sides that have lengths of 8 cm and 14 cm what lengths could not represent the length of the third side

7cm

Can an isoceles triangle ever be scalene

No. An isosceles triangle has, by definition, two sides of equal length. A scalene triangle has, by definition, no sides of equal length. So, by definition (and the fact that 0 is not 2), an isosceles triangle cannot be scalene.

What is the statement of the triangle inequality theorem

jizz in your mouth

Which of the following is the statement of the Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Which term best describes a figure formed by three segments connecting tree noncollinear points

That figure is best described as a "triangle".

What is a triangle with at least two congurent sides

A triangle with two congruent sides is an isosceles triangle, and a triangle with three congruent sides is an equilateral triangle.

Is a triangle obtuse scalene or triangle

A triangle can be Acute, Obtuse, or Right, depending on the angle. It can be Scalene, Isosceles, or Equilateral, depending on the length of the sides.

Complete this sentence after a congruence transformation the area of a triangle would be it was before

This sentence can be complete as: After a congruence transformation the area of a triangle would be the same as it was before.

Which is a true statement about a exterior angle of a triangle

180 degrees minus interior angle = exterior angle and that the 3 exterior angles of a triangle add up to 360 degrees.

Which term best describes a mathematical statement of the form shown below if athen b

A conditional statement.

Which sentence is most clearly about the relationship between a poems setting and mood

i honestly dont know

True or false A corollary is a statement that can be easily proved using a theorem.

FALSE

The segments shown below could form a triangle

No, it could not. A triangle cannot have a perimeter of length zero.

A triangle has sides measuring 8 inches and 12 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x

4 < x < 20

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