Answer: 2.9 ≠ −7 (False)
Step-by-step explanation:
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
You can use sin cos or tan to solve this
Answer:
Part A
The given definition of a circle is the set of all points that are the same distance from one given point
One example that contradicts the definition, is the set of all points in a three dimensional plane which are equidistant from, a point, which is the definition of a sphere
Part B
The definition of a circle can be modified to include the location of the points <em>on the same plane</em>, from which we therefore have;
<em>A circle is a set of all points on a plane that are the same distance from one given point</em>
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be
.
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be
.