RJ Dagdagan (Perseverance)

Theorem 1-4
exactly one plane contains two intersecting line

Explain: Our house contains tiles with two lines intersecting each other in a plane like theorem 1-4.

(Y) If you believe that geometry is everywhere

Edward Dunhill P. Chico III-Obedience

Theorem 1-1

“Two distinct lines intersect at only one point” – p. 6, Next Century Mathematics – Geometry

In my photograph, you would see an example of this specific theorem. The central support of the revolving frame is the point, while the arms are the lines. If you would carefully observed, the two lines (the arms) intersect in one point (the central support)

Geometry is indeed everywhere in every aspect of our lives. I look everywhere and I can apply many postulates and theorems. I can’t imagine a world without geometry. I look forward to a blessed, joyful and fruitful school year. Benedicamus Domino!

Florian F. Perez Jr. of III-Obedience

The theorem depicted in the picture is theorem 1-1. This theorem states that two distinct lines intersect at exactly one point. No two lines can intersect twice. If ever you try to curve it, then it is no longer called a line because a line is straight and extends in opposite directions.

The picture I chose is the stained glass form Mt. Samat. The mirror itself is the plane, while the frame is the line. Lines in the plane intersect each other to hold as the foundation of the glass. In the background, you can also see points or circles in the image.

#geometryiseverywhere

Vincent Angelo A. Flores III-Obedience

Postulate 1 (Line postulate)

The theorem that I used is the first postulate. the first postulate states that whenever there are two points or if there is a collinear point there is always a line in between them.

On my picture you can see 2 white dots on the guitar neck. The two white dots represent 2 points and the string passing through them is the line thus presenting the first postulate.

John Emmanuel D. Samson of II-Obedience

Theorem 1-2
The picture is a good example of this theorem. Let’s just simply say the pole represents the line, which intersects with he the wall that represents the plane, thus a point is the result (like in the picture).

Jennus Alonte / OBEDIENCE

     An airplane follows the qualification for the application of Theorem 1-1 regarding intersection of lines.

     As you can see, the wings intersect with the main body of the toy. The point where the two intersect is called the point. Through these lines, the picture or object is proven to be a concrete example of the aforementioned theorem.

#geometryiseverywhere

Michael John L. Yumul III-Obedience

Line Postulate states that two points determine exactly one line. This means that there is one and only one line that contains points A & B

Strings in a guitar is considered as lines. When you hit a note/tab, it changes the sound. In this picture, 2 notes/tab (points A & B) were hit in a string. The first string is the only string that is affected. The five other strings were not affected because points A & B are only contained in the first string.

Joel Benedict De Castro III- Obedience

The Plane Postulate states that three noncollinear points are contained in at exactly one plane and that three collinear points are in at least one plane.

As we can see in this photo, the buttons can be considered as the points and the surface of the remote is the plane and we can call the surface Plane A. If that’s the case, then the blue, green, and yellow buttons at the left side of the remote in this photo are noncollinear and we can see that they are contained in exactly one plane which is Plane A. At the edge of the remote, its bottom side is attached to its top surface which is Plane A. If the bottom side of the remote is Plane B and Plane A and Plane B meet at the edge of the remote, then the edge is a line that we can call Line C and if Line C is made of three imaginary collinear points then those points are contained in both Plane A and Plane B.

#geometryiseverywhere