unit 1
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
According to the Symmetric Property of Equality, if AB = ___ , then CD = AB
CD
If the slope of a line is -3, then every line ________ to the line will have a slope of -3.
PARALLEL
What should be true to use HL theorem.
-Two right triangles
-The hypotenuses are congruent
-one leg from the first right triangle is congruent to a leg of the second right triangle.
How many triangles are in an n-gon?
(n-2)*180
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
3/2
For a biconditional to be true, ___
The conditional and converse must be true.
If the slope of a line is -3, then every line to the line will have a slope of 1/3 .
PERPENDICULAR
HL theorem, is used to prove two......... triangles are congruent.
Right
What is the interior angle of a heptagon? (7-gon)
900 degrees
Which is a counterexample to the following statement?
If an angle is obtuse, then it is 125°125°
160°
The ______ states that If a = b, then b can replace a in any equation.
Substitution Property of Equality
What does Y1, M, and X1 equal in 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏)
Y1= Y-coordination m=Slope X1=x-coordination
True or False: Every polygon congruent to itself?
True
What is the measure of an INTERIOR angle of a regular 20-gon?
162
Angle KLM = 129 and angle MNO = 129. What is true about these two angles?
They are congruent
The ______ states that If x = 3 + 9 and 3 + 9 = m, then x = m?
Transitive Property of Equality
What's the slope and Y-intercept of y = mx + b
mx= slope b= Y-intercept
In congruent triangles ∆TUV and ∆DEF, ∠U is congruent to
∠E
How many triangles can you make in a pentagon?
3
Which of the following is not a polygon?
Circle
Assume the following statements are true. What conclusion can be made, if any? Which law of logic are you using? If I go to the ballgame, then I’ll eat a hotdog. If I eat a hot dog, I will feel full.
If I go to the ballgame, then I’ll feel full. (Law of Syllogism)
Slope =
𝒎 = 𝒓𝒊𝒔𝒆/𝒓𝒖𝒏 = 𝒚𝟐−𝒚1/ 𝒙𝟐−𝒙1
In congruent triangles ∆JKL and ∆MNO, JL is congruent to
MO
What is the interior angle sum of a 22-gon?
3600