Pythagorean Theorem
5, 12, __
What is 13?
The image shows two congruent triangles by this postulate/theorem.
What is SSS?
Original Statement:
If two angles are vertical, then they are congruent.
Altered:
If two angles are congruent, then they are vertical.
What is the Converse Statement?
The angle pair shown and its relationship.
What are congruent alternate interior angles?
The midpoint of (1, -4) and (3, 8).
What is (2, 2)?
__, 24, 26
What is 10?
The image shows two triangles proven congruent by this postulate or theorem.
What is SAS?
Original Statement:
If two angles are a linear pair, then they are supplementary.
Altered:
If two angles are not a linear pair, then they are not supplementary.
What is the Inverse Statment?
The angle pair in the image and its relationship.
What is congruent corresponding angles?
The midpoint of (5, 13) and (8, 21).
What is (6.5, 17)?
2.5, ___, 6.5
What is 6?
The image shows two congruent triangles using this postulate/theorem.
What is ASA?
Original Statement:
If two lines are perpendicular, then they form right angles.
Altered:
If two lines do not form right angles, then they are not perpendicular.
What is the Contrapositive Statement?
The angle pair demonstrated and its relationship.
What are supplementary same side interior angles?
The midpoint of (-7, 16) and (4,5).
What is (-1.5, 10.5)
7.5, 18, ___
What is 19.5
The image shows two triangles proven congruent using this postulate/theorem.
What is AAS?
A triangle is equilateral if and only if all three sides are congruent.
What is a Biconditional Statement?
The equation of the line parallel to x+5y=25 passing through the point (-5,5)
What is y=-1/5 x +4?
or What is y-5=-1/5(x+5)?
The range of the third side of a triangle with given lengths of 15 and 8.
What is 7<x<23?
__, 4, 5
What is 3?
This information would prove these two triangles congruent by ASA.
What is JT is congruent to DG?
A conjecture can become this if proven true.
What is a theorem?
The line parallel to x-6y=12 passing through the point (6,-2).
What is y= 1/6x-3
or
What is y+2=1/6(x-6)
You and your friends have 15 feet of yarn to make a triangle. One friend holds the end. The second friend holds a spot 6 feet away. You stand holding a piece 8 feet away from your second friend. Can you complete the triangle?
No, because 6+1 is 7 which is less than 8.