Complete the following proof related to the figure below.
2 answers:
Answer:
∠R=∠S and RQ=SQ
Step-by-step explanation:
Given
PQ is the perpendicular bisector of RS, prove ∠R = ∠S
1. PM is the perpendicular bisector of RS. | Given
2. If M is the midpoint of RS and SQ then RQ = SQ. | Reason: If a point is at a perpendicular bisector line of one segment, that point is equidistant from each endpoint of the line segment.
3. ∠R ≅ ∠S | Reason: Since PQ is the perpendicular bisector line then we can affirm PS≅ PR and RQ≅SQ as an equal pair of sized segments. That implies equal opposite angle measures of ∠R and ∠S.
4. RQ=SQ | Reason: If Q is the midpoint then RQ has the same size as SQ.
You might be interested in
Answer:
ok so we know that a triangle is 180 degrees.
so i can take the info and figure out the f,g,d,i all equal 90 degrees so i can figure out that 90+51=141
180-141=39
so angle a is 39
the two bigger triangles are equal and the two smaller ones are equal...
so we know that
a=39
b=62
c=51
d=90
e=39
f=90
g=90
h=28
i=90
Step-by-step explanation:
