Congruence Statements
Triangle Congruence
Conditional Statements
Parallel or Triangle theorems
Proofs
100
Given this congruence statement, the angle congruent to angle V.
What is
angleH
100
The congruence conjecture that proves these are congruent triangles.
What is SSS?
100
Identify the hypothesis of the conditional statement: "If two lines on the same plane never intersect at any point, then they are parallel."
two lines on the same plane never intersect at any point
100
If the measure of angle 1 = 146 what is the measure of angle 5?
146
100
This is the theorem used to prove two triangles are congruent when they have corresponding angles that are congruent in the middle of two pairs of corresponding sides that are also congruent.
Side-Angle-Side
or
SAS
200
The side congruent to side VU
What is
bar{HI}
200
The congruence conjecture that proves these are congruent triangles.
What is SAS?
200
Find a counterexample to the conditional statement:
"If you are a math student, then you are taking Calculus"
examples:
"You are taking Integrated Math 2"
"You aren't planning on going to college so you won't need to take Calculus."
200
Find the value of x that makes s parallel to t.
x=12
200
This can be used to prove two angles are congruent when they are on the matching positions (relative to the intersection) of two parallel lines cut by a transversal.
Corresponding angles
300
A congruence statement for the two triangles represented by:
What is
triangleMNLcongtrianglePQR
300
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is AAS?
300
Write the converse of the statement:
"If two angles form a linear pair, then they are supplementary."
If two angles are supplementary, then they form a linear pair.
300
Solve for X
x=14
300
Same-Side Interior angles of parallel lines (like d and f) are always:
Supplementary
or
going to have a sum of 180o
400
Property used to prove that something is equal to itself
reflexive property
400
Are the following triangles congruent? If so, name the congruence postulates that proves it.
Not congruent
400
Write the inverse of the statement:
"If two triangles are congruent two each other, then their corresponding parts are congruent."
If two triangles are not congruent two each other, then their corresponding parts are not congruent.
400
Solve for x.
x=50
400
This is the quickest way to prove right triangles congruent if you know the hypotenuse and one of the pairs of legs are congruent.
Hypotenuse-Leg or HL
500
Congruence statement for the triangles represented by:
What is
triangleADBcongtriangleCEB
500
The additional information needed to prove the two triangles are congruent using SSS theorem
What is AC is congruent to DF?
500
Rephrase the statement as a conditional statement:
"You are a musician because you play the guitar."
If you play the guitar, then you are a musician.
500
What is the measure of each angle?
x = 4
so each angle measures 65 and 115
500
For the conditional statement: If 0 is a rational number, then it can be written as a fraction.
Assuming the opposite can be written as: If 3 is a rational number, then it cannot be written as a fraction. Write a counter example to prove by contradiction.
0/1