How do you prove that a triangle is transitive congruent?
Answers
The triangle transitive congruent is proved by considering that if one triangle is congruent to second triangle and second triangle is congruent to third one, then the first triangle is congruent to third triangle.
Transitive Property of Congruence :The transitive property states that if one geometry is congruent with another, and the second is congruent with a third, then the first is also congruent with the third.
Statement : If triangle ABC is similar to triangle PQR and triangle PQR is similar to triangle EFG , then triangle ABC is similar to triangle EFG.
Given, ∆ABC ≅ ∆PQR and ∆PQR ≅ ∆EFG
RTP -> ∆ABC ≅ ∆EFG.
Proof : ∆ABC ≅ ∆PQR, SSA Congruence which implies, AB = PQ --(1)
PR = AC --(2)
and angle ABC = angle PQR --(3)
∆PQR ≅ ∆EFG, AAS Congruence which gives
Angle PQR = Angle EFG --(4)
PQ = EF --(5)
Angle PRQ = Angle EGF --(6)
from (3) and (4) we get,
angle ABC = Angle EFG --(7)
from (1) and (5) we get , AB = EF --(8)
angle BAC = angle FEG = 40° --(9)
Now, from (7) , (8), (9) we conclude that the triangle ABC is Congruent to triangle EFG by ASA Congrauance postulate i.e ∆ABC ≅ ∆EFG.
Hence proved.
To learn more about Transitive property in Congruence, refer:
https://brainly.com/question/29792714
#SPJ4
Related Questions
Can someone please help me please I really need help please help me.
Answers
Answer:
Step-by-step explanation:
I can't get to act correctly either.
The answer is 1 day and 7 items.
Ariana
y = 5x + 2
Julie
y = 7x
The ys have to be the same so equate the right hand side.
7x = 5x + 2 Subtract 5x from both sides.
7x - 5x = 5x - 5x + 2
2x = 2 Divide by 2
2x/2 = 2/2
x = 1
1 day
7 items
HELP NEEDED PLEASE! THIS IS DUE IN 8 MINUTES! BRAINLIST AND 15 POINTS FOR ANSWER!
Which of the three runners has the fastest pace? Explain how you know.
Answers
Answer:
Runner 2.
Step-by-step explanation:
Runner 1 is running 2 miles every 20 minutes, or 1 mile every 10 minutes.
Runner 2 is running 1 mile every 8.5 minutes.
Runner 3 is running 2 miles every 18 minutes, or 1 mile every 9 minutes.
No matter what, they are all running faster than me. Hope that this helps!
Word Problem #2
On one night, a scientist needs to determine the
distance she is away from the International Space
Station. At the specific time she is determining this the
space station distance they are both on the same line of
longitude 77' E. Furthermore, she is on a latitude of 29°
N and the space station is orbiting just above a latitude
of 61.4° N. In short, the central angle between the two
is 32.4°. If the Earth's radius is 3959 miles and the
space station orbits 205 miles above the surface of the
Earth, then how far is the scientist away from the space
station?
205 mi
3959 miles
324 CE
A
3959 miles
Answers
help me asap please
Answers
Because on the first and third one you would have to collect data, and on the second one u wouldn’t because you already know how many hours are in a day.
The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.
Answers
Answer:
The answer is 8/15
hope it helps you
Find the length of arc JK.
(Round to the nearest hundredth).
Answers
Convert Ø to radians
30°=π/6Arc length
s=rØs=2(π/6)s=3.14/3s=1.04ftWhat theorem shows ACE = BCD
Answers
Answer:
SAS
Step-by-step explanation:
in two triangles
if EC=DC
AC =BC
M<ECA =M<DCB "V.O.A"
THEN triangle ACE = triangle BCD
If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?
Answers
To find h(k(x)), substitute k(x) into h(x):
h(k(x)) = 2x
= 2(2x - 4)
= 4x - 8
Thus, h(k(x)) = 4x - 8 would be your final answer.
How many grams is 3200 milligrams? A. 2.5 g B. 3 g C. 3.2 g D. 3.5 g
Answers
Answer:
C. 3.2g
Step-by-step explanation:
Mark Me Brainliest?
Answer:
3200mg is C; 3.2g
What is the equation of the line shown in the graph?
Answers
The slope is 2 and the y intercept is -4
Please helppppp pleaseeeee
Answers
Answer:
A.) 3/10
Step-by-step explanation:
I added all the colored cubes together (4+6+3+7=20) then I put the number of green cubes (6) over the total (20) so it looks like 6/20. But that can be simplified to 3/10.
Hope I helped! (p.s. Maybe brainliest)
Answer:
3/10Addition:
4 + 6 + 3 + 7 = 20
I put the number of green cubes
6 over the total
20
= 6/20
However, this can be simplified to 3/10.
A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost
$15.05. Unfortunately, she bredks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Answers
Answer:
Its 6.45
Step-by-step explanation:
we first need to know how much is one pane of glass so i divide
15.05÷ 7 and got $2.15
so each one pane of glass is $2.15
than i multiply 2.15 x 3 and got 6.45
So the cost is 6.45
write a propotion that can be obtained from the given figures. PLEAS ANSWER SENSIBLY
Answers
Answer:
1.
(p+m)/m=(c+o)/o
or
m/(p+m)=o/(c+o)
2.a/v=s/i
or
v/a=i/s
Given f (x) = -4x+6, find f (10)
Answers
f ( x ) = - 4x + 6
f ( 10 ) = - 4 ( 10 ) + 6
f ( 10 ) = - 40 + 6
f ( 10 ) = - 34
Please help me out with this I will give brainiest this is the last one I need!
Answers
Answer:
20
Step-by-step explanation:
28/16=1.75
35/1.75=20
!!!!!Please do step by step when answering!!!!!
Answers
Answer:
surface area =0.1357
Step-by-step explanation:
first, find the triangle area
to find use triangle area= base x height divided by 2
so .18 x .23
=0.0414
divided by 2
= .0207
multiplty 0.0414 by 4 because theres a total of 4 triangle sides
.0207 x 4 = 0.0828
now find the area of the square on the bottom
area= base x height
.23 x .23 = 0.0529
now add the two areas together
0.0529 + 0.0828= 0.1357
What is all that is equivalent to 5x+(x+6)+3x
Answers
Answer:
9x+6
Step-by-step explanation:
I think by equivalent, you mean solve it.
5x+(x+6)+3x
5x+x+6+3x, open the parenthesis
9x+6, add up the like terms
What is the area of this square?
16 square miles
26 square miles
36 square miles
46 square miles
Answers
Find the value of x.
Answers
Answer:
38+82 =70
180-70=110
x=110°
Find the surface area of the pyramid.
9 ft
5.2 ft
6 ft
The surface area is
square feet
Answers
Answer: 280.8
Step-by-step explanation:
Wich measurement is the closest to the area of the triangle in square centimeters???? :(
Answers
Dndndjjfkf
Jfkkfjf
Jfkkf
pleas help meeeeeeeee !!
Answers
What is the least common multiple of 6 and 10?
02
3
30
60
Answers
Answer: 30
Step-by-step explanation:
Multiples of 6:
6, 12, 18, 24, 30, 36, 42
Multiples of 10:
10, 20, 30, 40, 50
Therefore,
Least common multiple (6, 10) = 30
Answer:
30
Step-by-step explanation:
10 x 1 = 10 / 10 x 2 = 20 / 10 x 3 = {30}
6 x 1 = 6 / 6 x 2 = 12 / 6 x 3 = 18 / 6 x 4 = 24 / 6 x 5 = {30}
The least common multiple of 10 and 6 is 30
what is the formula to find the vertex of an exponential function?
Answers
Answer:
formula: x = -b/2a
Step-by-step explanation:
HELP PLS PLS I NEED TO TURN THIS IN RN
Answers
Answer:
A
Step-by-step explanation:
Question Help
In the figure to the right, lines that appear to be tangent are tangent, and is the center of the circle.
What is the value of x?
Answers
Answer:
sorry
where is the figure
find the value of each variable
Answers
Answer:
x=12.124
y=14
Step-by-step explanation:
tan(30)= 7/x
x= 7/tan(30)
sin(30)= 7/y
y= 7/sin(30)
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
A.
(
1
×
3
×
4
)
+
(
2
×
5
×
3
)
B.
(
1
×
3
)
+
(
4
×
2
)
+
(
5
×
3
)
C.
(
1
×
3
×
2
)
+
(
6
×
3
×
2
)
D.
3
×
(
1
+
4
)
+
2
×
(
5
+
3
)
E.
(
3
×
4
)
+
1
×
(
2
×
5
)
+
3
Answers
Answer:
a & c are the correct answer
Step-by-step explanation:
The perimiter of a rectangle is 128 inches. The width of the rectangle is 4y inches. Find the length of the rectangle in terms of y.
PLEASE HELP!
I will give brainiest if it is correct
Answers
Answer:
The perimeter of a rectangle is 2W + 2L.
P = 2W + 2L
128 = 2(4y) + 2L = 8y + 2L
2L = 128 - 8y
L = 64 - 4y (this is the answer
Step-by-step explanation:
A car traveled 25 miles in 1/5 of an
hour. At the same speed, how many
miles will the car travel in 1 hour?
Answers
Answer:
in 1 hour it can travel 5(25)= 125 miles
Answer:
125 miles
Step-by-step explanation:
1/5 of a n hour = [tex]\frac{1}{5}*60[/tex] = 12 minutes
Distance traveled in 12 minutes (1/5 of an hour) = 25 miles
Distance traveled in 1 minutes = 25 ÷ 12 = [tex]\frac{25}{12}[/tex]
Distance traveled in 1 hour (60 minutes) = [tex]\frac{25}{12}*60 = 25*5 = 125 miles[/tex]