Points, Lines, Planes, Line Segments, Rays, and Opposite Rays
At least how many points are needed to form a plane?
Three NON-COLLINEAR points.
What do you call congruent angles that are not on same side of a transversal and is inside the inner sides of two parallel lines?
Alternate interior angles.
Guess the song from its last 10 seconds.
From The Start by Laufey
Guess the anime by the main character.
One Piece
Guess the celebrity by the image.
Michael Jackson
A student claims:
"Every pair of rays with a common endpoint are opposite rays, given that they don't extend in the same direction."
Is the student's claim true?
No. Opposite rays must extend in exactly opposite directions, forming a line.
Two parallel lines are cut by a transversal. An exterior angle measures 68°. What is the measure of its alternate exterior angle pair?
68°
Guess the song from it's piano instrumental.
When I Was Your Man by Bruno Mars
Guess the anime by the meme.
Dr. Stone
Guess the classmate by the image.
Isaiah Jacob V. Paulino
Points A, B, and C are collinear. Point D does not lie on line segment AC.
Can point D still be collinear with points A, B, and C?
Yes.
Conditions:
1. D lies beyond A on the same line.
Example:
D —— A —— B —— C
2. D lies beyond C on the same line.
Example:
A —— B —— C —— D 3. D lies between C and B (when B is outside line segment AC)
Example:
A —— C —— D —— B
Student A claims:
"A line that intersects two distinct lines is always a transversal."
Student B counter argues that:
"A line can only be a transversal if it intersects two parallel lines."
Which of the following is the most accurate judgment?
A. Student A and Student B are both correct.
B. Student A is incorrect, and student B is correct.
C. Student A is correct, and student B is incorrect.
D. Both student A and student B is incorrect.
D.
A transversal is a single line that passes through two or more other lines (in the same plane) at two distinct points. A transversal itself doesn't have to cross parallel lines.
Student A is incorrect since a line that intersects the common point or the intersection of two intersecting lines is not a transversal.
Student B is incorrect since a transversal doesn't only need to intersect parallel lines.
Guess the song from its first 10 seconds.
MAPA by SB19
Guess the anime by the emoji rebus puzzle.
Death Note
Guess the song artist by the emoji rebus puzzle.
Taylor Swift
Plane M contains line w.
Points A, B, and C lie on line w. Point D lies in plane M but not on line w.
Which of the following statements must be false?
A. Points A, B, C, and D are coplanar.
B. Segment AD lies entirely in plane M.
C. Ray DA is opposite to ray DB.
D. Plane M is the same as plane ACD.
C is false.
A transversal passes through two parallel lines. Angle p, measuring 3x - 15°, is formed. Angle p's vertical angle measures 2x + 32°. What is the measurement of angle p in numerical degrees?
126°
Guess the song from 10 seconds of its instrumental break.
Pasilyo by SunKissed Lola
Guess the anime by the opening.
Demon Slayer
Guess the celebrity by the logo.
Elon Musk
Plane L intersects plane M at line AB, plane M intersects plane N at line CD, and plane L intersects plane N at line EF.
Is it possible for planes L, M, and N to intersect at just one point?
Yes.
Transversal t intersects parallel lines m and n.
This forms an interior angle measuring 5x + 13°. The angle's same-side interior angle pair measures 2x + 27°.
The difference of the interior angle and its same-side interior angle pair is congruent to the measurement of an exterior angle formed from the intersection of a different transveral, q, with the same parallel lines m and n.
Find the value of the same-side exterior angle of this exterior angle.
134°
Sing the song for at least 30 seconds. (Blind Karaoke)
Lover Girl by Laufey
Guess the anime by the side character.
The Quintessential Quintuplets
Guess the celebrity by the image (their face is covered).
Belen.