translate it 6 units to the left and 3 units up
Congruence Properties
In earlier mathematics courses, you have learned concepts like the commutative or associative properties. These concepts help you solve many types of mathematics problems. There are a few properties relating to congruence that will help you solve geometry problems as well. These are especially useful in two-column proofs, which you will learn later in this lesson!
The Reflexive Property of Congruence
The reflexive property of congruence states that any shape is congruent to itself. This may seem obvious, but in a geometric proof, you need to identify every possibility to help you solve a problem. If two triangles share a line segment, you can prove congruence by the reflexive property.
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:
sine (theta) = opposite side / hypotenuse
sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
Answer:
the maximum number of snow balls can bought back = 1.6
Step-by-step explanation:
Let
Mrs. Hector brings total number of giant snow globes = x
As given,
weight of 1 snow globe = 1.5 kg
So,
Weight of x snow globe = 1.5x
As given,
She have to take them in a suitcase of weight 2.4 kg
∴
For number of snow globes we have the equation,
1.5x = 2.4
⇒x = 
= 1.6
So, the maximum number of snow balls can bought back = 1.6
