Use the diagram to determine whether the statement is true or false. 1. Points D, G, and F are collinear. 2. ZABH is a right angle. 3. LABH and LCBH are complementary. •G 4. IH is perpendicular to line m. 5. ZDEH and LFEH are supplementary. R. 6. CB is perpendicular to line (. E,
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![1.
True or False
Choose If the statement is true or false, and then
justify your answer by choosing from the answer
bank and moving into the blanks.
Reason:
True or False
2.
Reason:
Use the diagram to determine whether the statement is true or false.
1. Points D, G, and F are collinear.
3.
True or False
2. LABH is a right angle.
Reason:
3. LABH and ZCBH are complementary.
4.
True or False
G
Reason:
4. IH is perpendicular to line m.
5. ZDEH and ZFEH are supplementary.
True or False
5.
Reason:
6. CB is perpendicular to line f.
True or False
Reason:
6.
Answer bank:
G is not on linek
Two angles add to = 90 degrees
True
Given information: marked
Given information: not marked
Lines form a right angle
Vertical Angles are congruent
False
Two Angles add to 180 degrees
Linea s are supplementary](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15216536-0aef-49e1-a776-7ebdf8cd3cca%2F2fd1fd20-104a-4ca2-bdbe-e507c4c1c5f0%2F3zlud5h_processed.jpeg&w=3840&q=75)
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