Vocabulary
Two Column Proof
Similarities
Midpoint
Bonus
100
Type of congruent triangle has all the side the same. 
What is SSS?
100
Corresponding Parts Congruent Triangles Congruent acronym.
What is CPCTC? 
100
If the lenghts of the corresponding sides of two triangles one propontional then the triangle must be similar.  
What is Side-Side-Side (SSS) Similarity Theorom?  
100
Segment whose endpoint are midpoint of a triangle. 
What is midpoint?
100

Statement showing congruence with the corresponding angles and corresponding sides.

What is Congruence Statement?

200

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles. 

What is SAS? 
200

Use your knowledge of Triangle Congruence to solve the problem using the Two Column Proof.

What is ...?


200
If an angle of ome triangle is congruent to an angle of the second triangle and the lengths of the including angle are sides the triangle must be similar.
What is Side-Angle-Side (SAS) Similarity theorom? 
200

Find the midpoint of the two points A(1, -3) and B(4, 5).

What is (2.5,1)?
200
What is Midpoint Formula?
300

Triangles are congruent if any two angles and their included side are equal in both triangles. 

What is ASA? 
300

Give a Two Column Proof.

What is....?
300
If two angle of one triangle are congruent to two angles of another, then the triangles must be similar. 
What is Angle-Angle (AA) Similarity Postuslate? 
300

Point A is (5, 7). Point B is (x, y). The midpoint of AB is (17, –4). Find point B. 


 
What is (29,-15)?
300

1. First column (in left side of the table) is used to express the mathematical statements about the given information.

2. Second column (in right side of the table) is used to justify those mathematical statements with definitions, postulates, properties, theorems, axioms, known facts and results, formula, and so on.

3. Number the statements, mark the figure based on the given information and follow the logical order of the arguments or proof.

4. Conclude the proof with the respective concepts.

How to use a Two Column Proof?
400

Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

What is AAS? 
400
Name the most important things to remember for a two column proof.

What is number each step, start with the given information, dtatements with the same reason can be combined into one step, draw a picture and mark it with the given information, you must have a reason for EVERY statement, use symbols and abbreviations for words within proofs? 

400

Find if the triangles are congruent.

What is PQAB=62=3 QRCB=124=3 PRAC=155=3?

400

The midpoint of line segment AB is (2, -5). If the coordinates of point A are (4, 4), find the cordinates of point B.  

What is (0,-14)?
400
What is they are similar triangles? 
500

Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles.

What is HL? 
500
Name the Propertys, Postulates, etc. 

What are Vertical Angles Theorem, Corresponding Angles Postulate, Definition of Segment Bisector, Definition of Angle Bisector, Definition of Perpendicular Bisector, Transitive Property?

500

Find the value of x.

What is 3?
500

Line segment AB has an endpoint, A, located at (10,−1), and a midpoint at (10,0). Find the coordinates for point B of segment AB.

What is (10,1)
500

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

What is Triangle Congruence?
M
e
n
u