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Carson
Chris
Sloan
Hayden

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Haley
Molly
Brendan
Anna

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Eve
Josh
Archdad
Luke

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Janavi
Emily
Kristiana

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Maddie

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If in a right angle one base angle is 45 degrees then both legs are the same distance

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In order to be considered a right triangle, the two sides- not 90 degrees- must be acute angles.
Team 2 agrees
Team 7 agrees

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In an Isosceles triangle, if you subtract the measure of the smaller angle from 180, you can divide the remaining number by two to get the other two angles of the triangle.
This has been disproven by Team 5. Consider an isosceles triangle where the base angles are 50 and the vertex angle is 80

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An interior angle minus 180 equals A Number, call it x. Then x times 2 plus times 2 the interior angle, when added, will always equal 360 degrees
This has been disproven by team 5. Consider a triangle with an interior angle of 35. Then 35 minus 180 equals -145 and the conjecture doesn't hold.

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In an equilateral triangle, the base and legs are not clearly defined. (You can't uniquely identify the base and legs, since all sides are the same length)
Team 2 agrees

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The sum of 2 interior angles can never equal 180
Team 2 agrees
Team 6 agrees
Team 7 agrees
Team 4 agrees

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360 minus the interior angle across from it equals the outer angle that is across from it.
Team 5 agrees

Team 2 agrees
Team 1 agrees

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If a triangle is isosocles and one of the angles is 90 degrees, than the other two have to be 45 degrees.

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In a isoceles triangle if u multipluy one of the same side angles by 3 then the other same angle also would triple in size in order to stay a isoceles triangle
This has been disproven by Team 7 (Consider a triangle where the base angles are 40 degrees. You can't triple the angles and still have a triangle.)

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In an obtuse triangle the second largest angle is 89 degrees or less
This has been disproven by team 7. Consider a triangle with the following angle measures: 90.1, 89.4, and 0.5

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if you draw a diagonal line to cut the square in half, through the middle of a sqaure, you will get two congruent isosocles triangles.
Team 6 has disproven this conjecture due to a poor definition of "diagonal"

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A triangle can at most only have one right angle on a 2-D plane
team 2 agrees.

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The sum of 2 interior angles will never equal 180
team 2 agrees.

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if one side is longer than another, then the angle opposite to the longer side is larger than the angle opposite to the shorter side
Team 2 agrees
Team 4 agrees

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If a triangle has atleast 2 congruent sides, it can not have an obtuse angle.
Team 2 agrees, if you spell triangle correctly.
Team 5 disagrees 10:30
This has been disproven by team 5. Consider a triangle with angles of 20, 20, and 140.

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If you have a triangle and all the sides lengths are divisible by 13, then the triangle could be isoscles or scalene
This has been disproven by team 6. Consider a triangle where all the side lengths are 13.

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A rectangle cut in half diagonally corner to corner will create two right triangles

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If two sides of a triangle are unequal, then the measures of the angles opposite to these sides are unequal, and the greater angle is opposite to the greater side

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A triangle can’t have two right angles
Team 6 agrees
Team 1 agrees
Team 2 agrees

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If you have a isosceles triangle then the base angles (which are congruent to each other) must each be less than 90 degrees

Team 6 agreed
Team 1 agrees
Team 2 agrees

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The sum of the lengths of any two sides of a triangle is greater than the lengths of the third side
Team 2 agrees
Team 4 agrees

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If a right Isosceles triangle had a line through the 90 degrees to the opposite line, then two acute triangles will be made.
Team 1 has disproven this. When you construct the line from the vertex to the hypotenuse, it actually creates two smaller right triangles.

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If a triangle has three congruent sides, there will not be an obtuse or right angle.

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Two right triangles put together by their hypotenuse will always create a rectangle or a square.
Team 5 has disproven this conjecture. Consider when the hypotenuses are put together but are not the same size.

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Two Isosceles triangles put together by their base will create a rhombus with two different pairs of congruent sides.

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If you have a scalene triangle, and one of the angles is 90 degrees, than the equation to find the other two angles would be 180=90+a+b

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n an obtuse triangle the second largest angle is less than 90 degrees