In Exercise 3 and 4, supply statements.
Given: 


Prove: 


PROOF  
Statements  Reasons  
1. ?  1. Given  
2. ?  2. Substitution  
3. ?  3. Angles with equal measures are congruent.  
4. ?  4. If a ray divides an angle into two congruent angles, then the ray bisects the angle. 
To prove:
That
Given:
And,
The given figures are,
Figure (1)
Figure (2)
The given table is shown below.
PROOF  
Statements  Reasons 
1. ?  1. Given 
2. ?  2. Substitution 
3. ?  3. Angles with equal measures are congruent. 
4. ?  4. If a ray divides an angle into two congruent angles, then the ray bisects the angle. 
Property used:
a. The Additive Property of Equality states that if same number is added to both sides of the equation then the sides of the equation remains equal.
b. If the measure of two angles is equal then the angles are known as congruent angles.
c. According to Substitution Property, if
Approach:
The reason for the first statement of the proof is “Given”. So, the given statements are,
The reason for the second statement of the proof is “Substitution” and the angle
So, the measures of angles can be written as,
The reason for the third statement of the proof is “Angles with equal measures are congruent”
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