Refer to the image attached.
Given:
and
are congruent.
To Prove:
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore,
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Two ratios form a proportion if they are equal. If one fraction is equivalent to the other fraction, they form a proportion. To find out, reduce both fractions and see if they are equal.
A
1/2 and 4/2
Reduce 4/2 to 2/1.
1/2 and 2/1 are not equal.
1/2 and 4/2 do not form a proportion.
B
2/1 and 4/8
Reduce 4/8 to 1/2.
2/1 and 1/2 are not equal.
2/1 and 4/8 do not form a proportion
C
1/2 and 8/4
Reduce 8/4 to 2/1.
1/2 and 2/1 are not equal.
1/2 and 8/4 do not form a proportion
D
2/1 and 16/8
Reduce 16/8 to 2/1
2/1 and 2/1 are equal.
2/1 and 16/8 form a proportion.
Answer: D. 2/1 and 16/8
The Sample space for three cards is


There are two cards red(R) and black(B) and a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the Sample space is as follows.

<h3>Find Sample space if there are three cards.</h3>
Consider there were three cards red(R), black(B) and green(G) a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the sample space will be as follows,

.
Learn more about sample space here :-
brainly.com/question/24273864
#SPJ1
Answer:
Positive
Step-by-step explanation: