1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sineoko [7]
1 year ago
9

Step 1: Choose ONE of the following triangles and complete the table below:

Mathematics
1 answer:
Archy [21]1 year ago
6 0

The question is incomplete below you will find the missing part.

Step 1 : Choose ONE of the following triangles complete the table below:

1. Obtuse Scalene Triangle Translation to prove SSS Congruence

or

2. Isosceles Right Triangle Reflection to prove ASA Congruence

or

3. Equilateral Equiangular Triangle Rotation to prove SAS Congruence

Original Coordinate Point

Transformation Rule

Image Coordinate Points

A (1, 4)      (x,y) -> (x+ ,y -)      A’ ( , )

B ( 7,4)     (x,y) -> (x+ ,y - )     B’ ( , )

C (8,9)      (x,y) -> (x+ ,y -)     C’ ( , )

The appropriate table is also shown below.

The triangles ABC and A'B'C' are congruent by SSS through Obtuse Scalene Triangle Translation  because the corresponding sides are congruent

Two triangles are congruent if their size and shape are the same.

Now we have to transform the triangle,

The coordinates of the triangle ΔABC are given as:

A = (1, 4)

B = (7,4)

C = (8,9)

so the lengths of the sides of the triangle are given by

AB= √(7-1)²+(4-4)²= √6²= 6

BC= √(8-7)²+(9-4)²= √1²+5²= √1+25= √26

CA= √(8-1)²+(9-4)²= √7²+5²= √49+25= √74

In order to prove the SSS congruence, we have to transform the triangles under the following translation rule:

(x,y) -> (x -3, y +6)

in the above translation,

The triangle will be translated 3 units left

And then translated 6 units up.

So, we have the new coordination of the points of the translated triangle ΔA'B'C'

A' = (1-3, 4+6)

A' = (-2, 10)

B' = (7-3, 4+6)

B' = (4, 10)

C' = (8-3, 9+6)

C' = (5, 15)

Now

so the lengths of the sides of the triangle are given by

A'B'= √(4-(-2))²+(10-10)²= √6²= 6

B'C'= √(5-4)²+(15-10)²= √1²+5²= √1+25= √26

C'A'= √(-2-5)²+(10-15)²= √(-7)²+(-5)²= √49+25= √74

By comparing two triangles ΔABC and ΔA'B'C'

AB ≅ A'B'

BC ≅ B'C'

CA ≅ C'A'

Hence ΔABC ≅ A'B'C' (By S-S-S rule)

By the above transformation, the triangles ABC and A'B'C' are congruent by SSS because the corresponding sides are congruent as all the points are gone through the same transformation.

Learn more about the transformation

here: brainly.com/question/4289712

#SPJ10

You might be interested in
For f(x)= 3x+1 and g(x)= x^2-6, find (g/f)(x).
o-na [289]
D. The exclusion is important because we cannot divide by zero. Apart from that we are simply looking at a function. 
4 0
3 years ago
Read 2 more answers
The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
2 years ago
Simplifying algebraic expressions 7d+d use d=9
Lostsunrise [7]
Hey there Titachely1p09ewg,

Answer:

7d + d = 7 (9) + 9
           = 63 + 9
           = 72

Hope this helps :D

<em>~Natasha♥</em>
5 0
3 years ago
In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to
Ede4ka [16]

Answer:

0.632

Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p

The two events are independent hence joint probability is product of these two.

i.e. P(both) = p(3p) =3p^2

This is given as 0.2

3p^2 =0.2\\p = 0.258

the probability that a homeowner purchases exactly one coverage.

=P(AUB)-P(A \bigcap B)

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

= 0.258+3(0.258)-2(0.2)\\=0.632

5 0
3 years ago
Is a type of bar graph to represent<br>grouped data​
Romashka-Z-Leto [24]

Answer:

A histogram is a bar graph that represents grouped data

8 0
2 years ago
Other questions:
  • Yo can someone help me out
    8·2 answers
  • Plz help me! Need answers soon! _fr
    15·1 answer
  • A rectangle has an area of 36 square centimeters and a length of 9 centimeters.
    13·2 answers
  • The graph of g(x) is a transformation of the graph of f(x)=3^x .
    9·1 answer
  • Help me plz urgent I’ll give brainliest and it’s worth 20 pts
    15·1 answer
  • The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represen
    11·1 answer
  • You rent an apartment that costs $1800 per month during the first year, but the rent
    8·1 answer
  • What are the steps to graphing a linear equation?
    12·2 answers
  • Find the total surface area of the prism pictured
    6·2 answers
  • Which equation should you solve to find x?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!