In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove that XYZ is also an equilateral triangle.
~Thanks in advance !
Answers
Answer:
See Below
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ } \Delta PQR\text{ is equilateral}[/tex] Given
[tex]2)\text{ }PQ=QR=RP[/tex] Definition of Equilateral
[tex]3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP[/tex] Given
[tex]4)\text{ } PX=XQ[/tex] Definition of Midpoint
[tex]5)PQ=PX+XQ[/tex] Segment Addition
[tex]6)\text{ } PQ=2XQ[/tex] Substitution
[tex]7)\text{ } QY=YR[/tex] Definition of Midpoint
[tex]8)\text{ }QR=QY+YR[/tex] Segment Addition
[tex]9)\text{ } QR=2QY[/tex] Substitution
[tex]10)\text{ } 2XQ=2QY[/tex] Substitution
[tex]11)\text{ } XQ=QY[/tex] Division Property of Equality
[tex]12)\text{ } XQ=PX=QY=YR[/tex] Transitive Property
[tex]13)\text{ } RZ=ZP[/tex] Definition of Midpoint
[tex]14)\text{ } RP=RZ+ZP[/tex] Segment Addition
[tex]15)\text{ } RP=2RZ[/tex] Substitution
[tex]16)\text{ } 2XQ=2RZ[/tex] Substitution
[tex]17)\text{ } XQ=RZ[/tex] Substitution
[tex]18)\text{ } XQ=PX=QY=YR=RZ=ZP[/tex] Transitive Property
[tex]19)\text{ } \angle Q\cong \angle R\cong \angle P[/tex] Definition of Equilateral
[tex]20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX[/tex] SAS Congruence
[tex]21)\text{ } XY\cong YZ\cong ZX[/tex] CPCTC
[tex]22)\text{ } \Delta XYZ\text{ is equilateral}[/tex] Equilateral Triangle Theorem
Answer:
this is your answer. thanks, for great point
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Answer:
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Answer:
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Step-by-step explanation:
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Combine Like Terms:
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Answer:
=−10b
Answer:
-10b
Step-by-step explanation:
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Answer:
hope this helps!
Step-by-step explanation:
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Step-by-step explanation:
option B is the correct answer of this question.
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plz mark my answer as brainlist plzzzz vote me also .
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Answer:
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Step-by-step explanation:
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Answer:
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Have a great day/night
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Weight Calculator
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Answer:
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Step-by-step explanation:
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[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the straight lines.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
a)2a+5a +8+8
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The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
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The profit of pens = sale price of set of pens - cost price of set of pens
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The amount that will go to the school for 1200 sets of pens = $ 3816
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The amount that will go to the school = $ 3816.00
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
9514 1404 393
Answer:
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Answer:
no tengo suficiente information para responder
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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slove this its is Evaluate functions
Answers
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
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I hope this helps you!
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Answers
Answer:
Step-by-step explanation:
What you've provided is only a function. What's the complete question?
How do you say $183,240 in word form ?
Answers
Answer:
one hundred and eighty-three thousand two hundred forty
Step-by-step explanation:
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
Answers
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
