Step-by-step explanation:
+) Polygons ABCD has: A(-7;4); B(-5;7); C(-3;4); D(-5; 1)
+) Polygons A'B'C'D' has: A'(-9;0); B'(-7;3); C'(-5;0); D'(-7;-3)
The side lengths of ABCD:
The side lengths of A'B'C'D':
So that side lengths of ABCD equal to those of A'B'C'D'.
However, this is not enough to said that they are congruent polygons, as 2 polygons are congruent when they have all corresponding sides and interior angles are congruent.
ABCD and A'B'C'D' have all corresponding sides congruent.
=> <em>So that "all corresponding interior angles are congruent" must be true for them to be congruent polygons</em>
Answer:
true
Step-by-step explanation:
you must assume its false and if said statement leads to an impossibility then its proved to be true
Answer:
The missing number in the sequence is 73155.
Step-by-step explanation:
To solve this question, we have to find patterns in the numbers.
The number 16351 was generated from a pattern in the number 88511. What pattern?
8 + 8 = 16
So adding the first two digits of the first number, we get the first two digits of the second number
8 - 5 = 3
Subtracting the second and the third digit of the first number, we get the third digit of the second number.
5*1 = 5
Multiplying the third and the fourth digit of the first number, we get the fourth digit of the second number.
1/1 = 1
Dividing the fourth and the fifth digit of the first number, we get the fifth digit of the second number.
Third number
Just like we applied the patterns on the first number to get the second, we can apply the patterns on the second to get the third. So
1 + 6 = 7
6 - 3 = 3
3*5 = 15
5/1 = 5
So
The missing number is 73155.
Confirmation: Third and fourth number:
7 + 3 = 10
3 - 1 = 2
1 * 5 = 5
5/5 = 1
Which shows that the third number is, in fact, 73155