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.
Answer:
y=-2/3x -6
Step-by-step explanation:
y=-6 so b=-6
rise/run=-2/3
Put that into an equation of y=mx+b and you get y=-2/3x -6
Answer:
A lies along the positive x-axis and B lies along negative x - axis
.
Step-by-step explanation:
They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.
A lies along the positive x-axis and B lies along negative x - axis
.
This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y + 4)² = 36 ← is in standard form
with (h, k) = (3, - 4 ) = centre and r = 
= 6
Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.
She also divided 36 by 2 , thus omitting the root of 36
