One way to prove that the triangles are congruent is to show that the three pairs of sides have the same length.
For side 
, this is easy, since it is shared by the two triangles, so it is obviously equal.
On the other hand, we know that the given figure is a parallelogram, the opposite sides are equal in length. Particularly, it means that:
Thus, we have shown that each pair of sides have the same length, which means that:
4 = .25x + 2 , .25x = 2 , x = 8. The answer is D
When you write a scale factor, the units have to be the same. In this case, 9mm on the drawing represents 1 meter on the house. Change 1 meter to millimeters (1m = 1000mm).
9 mm on the drawing represents 1000 mm on the house.
The scale factor is 9 to 1000, or, as a fraction, 9/1000.
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
