Triangle JKL is reflected across x = 0 and then translated 5 units up to create △JʹKʹLʹ. Are the two figures congruent? Explain.
A. No; a reflection changes the orientation of a figure, so the figures are not congruent.
B. No; a translation changes the position of a figure, so the figures are not congruent.
C. Yes; reflections and translations preserve lengths and angle measures, so the figures are congruent.
D. There is not enough information.
Answer:C
Step-by-step explanation: Measure stay the same when translated
The solution is Option C.
Yes; reflections and translations preserve lengths and angle measures, so the figures are congruent
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the triangle be represented as Triangle ΔJKL
Now , the triangle JKL is reflected across the line x = 0
So , the triangle is reflected along the y axis
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , the x coordinates of triangle JKL changes
Now , the triangle is translated 5 units up
So , the values of the y coordinates gets increased by 5 units
And the transformed triangle is ΔJ'K'L'
The transformed triangles retains the shape as well the angle measures
From the congruent theorem of triangles
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
So , the triangle ΔJKL ≅ ΔJ'K'L'
Hence , the triangles are congruent and reflections or translations preserve lengths and angle measures
To learn more about congruent triangles click :
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Put it in your own words
There's a seasonal show called the Amazing Race. I am chosen to participate in it, my partner is Fransteria. I am the leader of our team. In this game, we have to chose the best path, we have to calculate the fastest way to victory. A map full of triangles will be given to us for the first path. We will get to know about more details later.
A line passes through the point (0,-2) and has slope 7. What is the equation of the line in slope-intercept form? please help me
Answer:
y=7x-2
Step-by-step explanation:
I’m not good at Spanish but,
Yo esta una decepción
Can Spanish people translate to the ones who don’t understand?
Answer:
Yo esta una decepcion? Alright, a direct translation would be: I this a deception/disappointment, but for it to make sense it would be either I'm disappointed, or I'm disappointed of her, due to "esta" is to refer a women non dearingly
Step-by-step explanation:
I am a disappointment.
Yo esta = I am
una = a
decepción = disappointment
También puedo suponer que ya soy una decepción para usted.
This can be translated to:
I can also imagine that I'm already a disappointment to you.
Put the names of the friends in order based on the absolute value of their scores from least to greatest
PLease see the picture below please help me thank you.
3r +8
combine 4r -r
combine 14 -6
3r + 8
Jahaira buys a car for $5,160. Her state charges 7% sales tax, $87
for licence plates, and $30 for safety and emissions fees. How much
will Jahaira owe for these extra charges, NOT INCLUDING the price
of the car?
Answer:
119.1
Step-by-step explanation:
In a survey of 2,500 people who owned a certain trote of car, 500 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
20 %
Step-by-step explanation:
I did the math and its 20
Segment BD is a midsegment of triangle AEC Which equation could be used to find the value of x?
39x -11 = 17x + 6
39x - 11 = 2(17x + 6)
2(39x - 11) = 17x + 6
2(39x - 11) = 2(17x + 6)
Answer:the first one
Step-by-step explanation:
Answer:
B) 39x - 11 = 2(17x + 6)
Step-by-step explanation:
I took the quiz.
If m2A = 110 degrees and m2B = 35 degrees, find m21.
A)
35 degrees
B)
75 degrees
C)
110 degrees
D)
145 degrees
Answer:
c
Step-by-step explanation:
i have a degree in mathematics so you can trust this
If $1,000 is invested at 5% interest, compounded continuously, for five years, what is the ending balance?
Answer:
1284.03
Step-by-step explanation:
Ms. Shepheard cuts 1/2 of a piece of a construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper dose she use to make the flower.
Answer:
She use 1/12 of the paper
Step-by-step explanation:
if jogging burns on average 140 calories every 15 minutes. how many calories are you burning in one hour.
do 60 divided by 15 then do 140 multiplied by what ever you got when you did 60 divided by 15
The diagram shows four graphs match the graphs to the equations
Answer:
y=x^2 is graph D
y=1/x is graph A
otherwise, you're right
IQ scores have a mean of 100 and a standard deviation of 16. Nora scored a 122 on the IQ test. What is Nora's z-score? Round to the nearest hundredth. *
The points (-9, -10) and (-2,-5) form a proportional relationship. Find the slope of the
line that passes through these two points.
Answer:
[tex]m=\frac{5}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, -10)
Point (-2, -5)
Step 2: Find slope m
Substitute: [tex]m=\frac{-5+10}{-2+9}[/tex]Add: [tex]m=\frac{5}{7}[/tex]And we have our final answer!
9. f(x) = x2 - 49, g(x) = x + 7
Answer:
(x^(2)-49)/(x-7)
Step-by-step explanation:
Did it.
please answer see the image below
Answer:
64.8Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
Answer:
64.8² units. Hope it's help you.
Find the slope of the line that passes through (64, -7) and (54, 67).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Sorry im late to this but the other 2 people are correct the answer is -37/5!! :D
Step-by-step explanation:
Math assignment cant get it
Answer:
y = -1/2x + (-1)
Step-by-step explanation:
Divide 25 1858.
To find the quotient, start by dividing
Answer:
74.32
Step-by-step explanation:
1,858 divided by 25= 74.32
To evaluate any piecewise function you must look at the domain. true or false ?
To evaluatetheany piecewise function we must look at the domain. Yes it is true.
Write an equation that represents each graph.
Answer:
3x3
Step-by-step explanation:
I think that it is 3x3 because that is the angle.
9514 1404 393
Answer:
y = -x +3y = x -3y = 3x +1y = -3x -3Step-by-step explanation:
In each case, the slope can be found by counting the number of vertical grid squares for each horizontal grid square between points where the line crosses grid intersections. The ratio "rise"/"run" is the slope of the line, m.
The y-intercept, b, can be found as the y-value where the line crosses the y-axis.
These values go into the slope-intercept form of the equation for a line to give the equation you want:
y = mx + b
__
1. Rise is -1 for a run of 1. The y-axis is crossed at 3.
y = -x +3
__
2. Rise is 1 for a run of 1. The y-axis is crossed at -3.
y = x -3
__
3. Rise is 3 for a run of 1. The y-axis is crossed at 1.
y = 3x +1
__
4. Rise is -3 for a run of 1. The y-axis is crossed at -3.
y = -3x -3
Question 2
Only students who receive financial aid from the college/university they attend is entitled to take a tax credit.
True
False
Jamie plays a trivia game. She earns 1 point for each
correct answer and loses 0.25 points for each incorrect
answer. She gets 15 correct answers and 5 incorrect
answers
What is her score for the game?
A 16.25
B 13.75
C. 15
D. 14.25
Answer: B. 13.75
First write out the equation you need to solve
1x - 0.25y = total score
Second fill in the known information
1(15) - 0.25(5) = total score
Now solve your equation
15 - 1.25 = total score
13.75 = total score
Her score for the game will be 13.75. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Jamie plays a trivia game.
She earns 1 point for each correct (W) answer and loses 0.25 points for each incorrect (L) answer.
Then the total points is given as
Total point = W – 0.25L
She gets 15 correct answers and 5 incorrect answers.
Then her score for the game will be
Total point = 15 – 0.25 x 5
Total point = 13.75
Then the correct option is B.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Mr Morales makes a table of the number of chaperones needed for different numbers of students attending a field trip. The ratio of parent chaperones to students is a constant proportion. What is the missing number in Mr. Morale’s table?
A) 36
B) 40
C) 42
D) 48
Answer:
48
Step-by-step explanation:
2 x 8 = 16
4 x 8 = 32
8 x 8 = 64
6 x 8 = 48
2 div 16 = 8
4 div 32 = 8
8 div 64 = 8
6 div 48 = 8
Need help ASAP pls due in 5 mins
At 4:00 A.M., the outside temperature was –28°F. By 4:00 P.M. that same day, it rose 38 degrees. What was the temperature at 4:00 P.M.?
Answer:
10°
Step-by-step explanation:
-28 + 38 = 10
A company uses the equation C = 4.50n + 15 to represent the cost (C) of the number of bottles (n) they sell. What do the numbers 4.50 and 15 represent?
PLEASE ANSWER ASAP SORRYYYYYY
Answer:
535 + 4.50n = 12n.
Step-by-step explanation:
please answer I need the answer now, please
Answer:
The slope is -2, and the y-intercept is 12.
Step-by-step explanation: