Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.

To prove that EFGH is a parallelogram, the missing reasons are:

1. Alternate interior angles theorem

2. Reflexive property

3. SAS

4. CPCTC

5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.

A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent

To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:

1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.

2. EG ≅ EG based on the reflexive property of congruence.

3. ΔFGE and ΔHEG have:

two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH

one pair of included congruent angles - ∠FGE ≅ ∠HEG

Therefore, ΔFGE ≅ ΔHEG by SAS.

4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.

5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.

Learn more about parallelogram on:

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Which equation shows y = (x − 4) 2 − 3 written in standard form?

Describe how the graph of y=lxl – 7 is like the graph of y=lxl and how it is different.

(x​²​y−3y²+5xy​²​​ )−(−x​²y+3xy​²​​ −3y​² )

Question 2
In the expression 7x8+(24/8x4), which part has to be solved first?

Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!

The table of values shows the height of a buoy compared to the sea floor over time as the tide goes in and out. This can be modeled by a sinusoidal function.
Which statements are true?
Select EACH correct answer

The maximum value of the function is 5.8

The amplitude of the function is 5.8

The period of the function is 24

The frequency of the function is 24

NO BOTS PLEASE!!!! Write an equation and solve: what fraction of 4 is 3?

the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x​

In ΔPQR, the measure of ∠R=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ∠P to the nearest degree.

Carmen leaned a 13-foot ladder against a wall. If the base of the ladder is 4 feet from
the bottom of the wall, approximately how far up the wall does the ladder reach?

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If p is inversely proportional to q and p=-8 then q=2, find p when q=-4

PLz help me thx!!! jenny bought gas for her car gas costs $2.55 per gallon jenny bought 13.8 gallons. What was the total cost for her gas????

PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT

Which symbol correctly compares the mixed number and the improper
fraction?
3 4/6 ? 22/6

PLEASE HELP AND HURRY!

The front of the home is being painted, not including the door the door measures 9ft by 2ft how many square feet will be needed

IGNORE THE WRITING

Please help me with this

Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y = 4x + 5
O y = 4x - 5
O 2y = 8x - 10
O-2y = -8x - 10

express 1 cm3 in m3 please help ​

Raul is 27 years old, and he owns his car, which he uses to get to work. His collision deductible is $100, and he does not have comprehensive coverage. If his car's safety rating is 20, how much does he pay each month for car insurance?

A person invest 7900 in an account growing at a rate allowing the money to double every 8 years. How much money would be in the account after 5 years, to the nearest dollar

Which word describes the slope of the line?
positive
negative
zero
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When the temperature stays the same, the volume of a gas is inversely proportional to the pressure
of the gas. If a balloon is filled with 45 cubic inches of a gas at a pressure of 14 pounds per square
inch, find the new pressure of the gas if the volume is decreased to 15 cubic inches.
15
A) 28 pounds per square inch
B) pounds per square inch
14
D) 39 pounds per square inch
C) 42 pounds per square inch

a box in the shape of a triangular prism is shown below. what is the surface area of the box.
a. 94in
b.96in
c.98in
d.100in

Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16

for every one rotation a small gear takes, the larger gear makes 1/6 of a rotation. If the gear makes 10 complete rotations, how many rotations will the larger gear have made

Please answer!!!!!!!

7(3+5)=
you have to hurry

DO NOT SEND ME PDFS!!!

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: A homeowner wants to purchase new carpet for his rectangular living room, which is 8 feet wide and 12 feet long. What is the area of the carpet needed to completely cover the floor of the living room? Choose the correct answer.


A. 40 feet


B. 40 square feet


C. 96 square feet


D. 96 feet



Part B: Bianca wants to wrap a gift for her sister. The gift is in a box with a length of 10 inches, height of 2 inches, and depth of 3 inches. What is the minimum amount of wrapping paper Bianca needs to completely cover the box?


Part C: Greg had a rectangular vegetable garden that was 4 feet wide by 5 feet long. He increased the length of his garden by 2 feet and doubled the width. How many square feet larger is the area of his new garden compared to the area of his old garden? In a short paragraph, explain your answer in your own words.