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
kow [346]
3 years ago
14

Please help me. its attached

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer

5. ΔABC ≅ ΔDEF is true.

6. ΔABC ≅ ΔGHI is not true.


Step by step explanation

5. Find the lengths of the triangle ABC.

BC = 3

Use the distance formula to find the length of AB and AC

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Coordinates of A = (1, 4) and B = (2, 2).

Now plug in these values in to the distance formula.

AB = \sqrt{(2 -1)^2 + (2 - 4)^2} \\

AB = \sqrt{(1)^1 + (-2)^2}

AB = √1 + 4

AB = √5

Now let's find the length of AC.

A = (1, 4), C = (5, 2)

Use the distance formula and the length of AC.

AC = \sqrt{(5 - 1)^2 +(2 - 4)^2}

AC = \sqrt{(4)^2 + (-2)^2}

AC = √(16 + 4)

AC = √20

Now let's find the length of GI

G = (6, 6) and I = (8, 1)

Use the distance formula.

GI = √(2)^2 + (-5)^2

GI = √(4 + 25)

GI = √29.

The length of EF = 3, DE = √5, EF = √20

Now let's compare the two triangles ABC and DEF.

The sides of the triangle ABC is equal to the sides of the triangle DEF

By SSS property,  ΔABC ≅ ΔDEF.


6) The side length of GI = √29 which is not equal to the side length of AC = √20.

Therefore, the ΔABC ≅ ΔGHI is not true.

Hope this will help you.

Thank you.


You might be interested in
Write the equation of the line y = 3x + 5 when dilated by a scale factor of 2 centered
Nostrana [21]

Answer:

Warm Up: Line y = 3x – 1 is transformed by a dilation with a scale factor of 2 ... Exercise 1- The line y = 3x is dilated by a scale factor of 2 and centered at the origin. ... 5. The line y=--x-2 is graphed to the right. Write the equation of the m=273.

Step-by-step explanation:

8 0
2 years ago
Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green ap
snow_lady [41]

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

6 0
3 years ago
Read 2 more answers
The sum of the measures of angle A and angle B equal 90 degrees. What is cos B​
stira [4]

Answer:I think it is 12/25

Step-by-step explanation:

4 0
3 years ago
A) How many books were sold after 8 months?
irakobra [83]

Maybe if you put a picture I could help you out
4 0
3 years ago
Chester and Mary have pencils in a ratio of 2:4. Together they have 24 pencils. What percentage of the total pencils does Mary h
weeeeeb [17]
She has 67% of the pencils.


Chester:Mary = 2:4 = 1:2
So, in the simplest case:
If Chester has one pencil Mary would have two.
There are three pencils.
Mary has two.
2/3 = 0.667 = 67% (rounded)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Joe says, "I have found an interesting fact! Twenty-five percent of thirty dollars is
    10·1 answer
  • What is the original price
    12·1 answer
  • How do I factor this:
    6·1 answer
  • 5 times the sum of 8 and d
    12·1 answer
  • Consider the following expression 4x+5y+9+3y
    11·2 answers
  • Which of the following variables are correlated because one causes the other? Select all that apply.
    11·1 answer
  • Hey, babes! Here is a question for today-
    11·1 answer
  • Please I need help to solve those problems: <br> A) (+4) + (-7) multiply (-3)-(+5)
    11·2 answers
  • 8*10^4 is how many times as large as 4*10^-5
    7·1 answer
  • In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!