HOW ARE TRIANGLE PROOFS USED TO PROVE OTHER PROPERTIES OF GEOMETRIC FIGURES? EXPLAIN

1 answer:

6 0

When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle. All corresponding sides and angles will be congruent.

When triangles are congruent, six facts are always true.

Corresponding sides are congruent.

Corresponding angles are congruent.

The good news is that when proving triangles congruent, it is not necessary to prove all six facts to show congruency. There are certain ordered combinations of these facts that are sufficient to prove triangles congruent. These combinations guarantee that, given these facts, it will be possible to draw triangles which will take on only one shape (be unique), thus insuring congruency.

You might be interested in

Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many meals will the

yan [13]

We can divide 18 pounds by 2/3 pounds to find how many servings of meals the dogs will have.
We will use the keep change flip rule to solve this.
18 / 2/3 is then the same as 18 x 3/2
We then multiply across to get
54/2
This would be 27 meals that the food will last

3 0

2 years ago

Which system of inequalities is represented by the graph?

Tamiku [17]

The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality

red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are :
x + 2y < = 5 and 3x + y < = 4

4 0

3 years ago

PLS HELP ME I CANT DO IT AND JMBEING TIMED

tamaranim1 [39]

Answer:

For A+B

a. 0.3+0.8 = 1.1

b. 1.2+1.4 = 2.6

c. 3.4 + 4.2 = 7.6

d. 2.25 + 2.95 = 5.20

For B-A

a. 0.8-0.3 = 0.5

b. 1.4-1.2 = 0.2

c. 4.2-3.4 = 1.2

d. 2.95-2.25 = .070

8 0

2 years ago

Is 36/121 a perfect square

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Yes

7 0

3 years ago

Read 2 more answers

Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

Sergeeva-Olga [200]

A) .10 d + .25 q = 7.75
B) d + q = 40

Multiplying B) by -.10
B) -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75

Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75

Correct!!

6 0

2 years ago