cerna
10.10.2020 •
Mathematics
2
Question 4 (4 points)
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:
Glver: AABC
Prove: The midsegment between sides
AB
and
BC
Is parallel to side AC
Draw AABC on the coordinate plane with point A at the origin (0,0). Let point B have the ordered pair (X1, Yı) and locate point on the x-axis at
0+x 0+y
2
(X2, 0). Point D is the midpoint of AB with coordinates at
by the slope formula. Point E is the midpoint of BC with an ordered
x+x. 0+y
2
pair of
by the slope formula. The slope of DE is found to be through the application of the slope formula:
[oty ory
2 2
0
=0
X + x 0+
Y, -Y 0-0 0
2 2
When the slope formula is applied to AC *-, X-OX,
Its slope is also O. Since
the slope of DE and AC are identical, DE and AC are parallel by the definition of parallel lines.
Which statement corrects the flaw in Gina's proof? (4 points)
0
Оа
Ob
Ос
Od
The coordinates of D and E were found using the Midpoint Formula
Segments DE and AC are parallel by construction
The slope of segments DE and AC is not 0.
The coordinates of D and E were found using the Distance between Two Points Postulate
Solved
Show answers
More tips
- F Family and Home What is Most Important in Men s Lives?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Nick s garden is broken into three sections each with an area of 252 sq ft he wants to put a fence around the perimeter of the entire garden how much fencing will he need...
- M Mathematics If you don t know the probability of success for the pilot, is there a value that is critical to your recommendation?...
- M Mathematics How many square feet of wood are needed to build a cabinet that is 2 feet 3 inches tall, 1 foot 4 inches deep, and 1 foot 4 inches wide? (assume that wood is needed for all six...
- M Mathematics What is the measure of 0 in radians? radians 15 In the diagram, 0 is a central angle....
- M Mathematics The angle of elevation from the ground to the top of a flagpole is measured to be 53˚. If the measurement was taken from 15 feet away, how tall is the flag pole?...
- M Mathematics Prove the following identities. (Remember, you may only change one side of the equation) (a) Sec θ (1 - sin^2 θ) = cos θ (b) 1 = 1 + sin x/ sin x - csc x...
- M Mathematics Evaluate each expression. 18^-4 x 6^7...
- M Mathematics Pls helpppp find x and y plsss...
- M Mathematics Suppose a solid is formed by revolving the function f(x)=2+mx around the x-axis where 0≤m 1 and 0≤x≤1, and a washer is created by drilling a hole in the solid that corresponds...
- M Mathematics A solid has cross sections that are squares. The side lengths of the square cross sections are equal to x^2, where 0≤x≤1. Suppose the solid is divided by planes perpendicular...
Ответ:
Hello Honey take a look at my picture (profile)
Step-by-step explanation: