Proving Vertical Angles Are Congruent RE
Statements Reasons
✓x
Given: 22 and 24 are vertical
angles.
Prove: 223 24
def. of a linear pair
subtraction property
substitution property
angle addition postulate
m
Reasons
1
1. given
2
Statements
✓ 1.22 and 24 are vert. angles
2. lines m and n intersect at P
3. 22 and 23 are a linear pair
n
P
2. def. of vertical angles
3. def. of a linear pair
4
3

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.