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Elanso [62]
3 years ago
8

On the coordinate plane, ΔABC ≅ ΔDEF by SSS. ΔABC translates 2 units to the left and 3 units down. Do the triangles remain congr

uent? Explain why or why not.
Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
Yes because you are simply translating the shape and moving it and not changing the shape.
elena55 [62]3 years ago
4 0

Answer: Yes, they are congruent.

Step-by-step explanation:

Given: On the coordinate plane, ΔABC ≅ ΔDEF by SSS...........(1)

ΔABC translates 2 units to the left and 3 units down.

Let ΔA'B'C' be the translated image of ΔABC.

  • A translation is rigid transformation that maps every point of a figure by the same distance in a given direction.

Since, all the rigid transformations create congruent images.

Hence, ΔA'B'C'≅ΔABC.........................(2)

From (1) and (2), we have

A'B'C'≅ΔDEF   [Transitive property of equality]

Therefore, the triangles remains congruent.

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What does m equal and please show how to do it: m-4=2m
Tju [1.3M]

Answer:

m - 4 = 2m \\ m - 2m = 4 \\ m(1 - 2) = 4 \\ m( - 1) = 4 \\  -  m = 4 \\ m =  - 4

8 0
3 years ago
Jim and Sarah invited seven friends over for dinner. If each friend brought one guest how many people will be at the dinner excl
Vanyuwa [196]

16 people would be at the dinner because Jim and Sarah invited 7 friends and each friend brought 1 guest, so you do 7*2=14 and the 14 + Jim and Sarah=16 people.

7 0
3 years ago
Write an expression to represent:<br> Eight minus the quotient of two and a number x
NARA [144]
8 - (2/x) = y (ignore these words the answer was too short lol)
8 0
3 years ago
Read 2 more answers
Anne,Ryan and Joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many cans as Ryan
elixir [45]
A + R + J = 1925
A = 1/2R
J = 2R

1/2R + R + 2R = 1925
7/2R = 1925
R = 550

J = 2(550)
J = 1100

Joel collects 1100 cans.
3 0
2 years ago
Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor
docker41 [41]

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

\dfrac{35}{7}=5

\dfrac{70}{14}=5

\dfrac{105}{21}=5

\dfrac{140}{28}=5

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

\dfrac{y}{x}=k

Here, k=5.

\dfrac{y}{x}=5

y=5x

Hence the rate of change is constant that is 5.

8 0
2 years ago
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