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👉Quiz: Sum of Angles Triangles & Quadrilaterals

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Find and create gamified quizzes, lessons, presentations, and flashcards for students, employees, and everyone else. Get started for free!

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A beautiful, free online scientific calculator with advanced features for evaluating percentages, fractions, exponential functions, logarithms, trigonometry, statistics, and more.

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In this class, you will learn about mathematics and how you can apply it to the real world. Under an ideal positive learning environment, together we will connect with new concepts and ideas useful for your future. The class would cover the Math courses of Integrated Math I, II, and III.

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In this class, you will learn about mathematics and how you can apply it to the real world. Under an ideal positive learning environment, together we will connect with new concepts and ideas useful for your future. The class would cover the Math courses of Integrated Math I, II, and III.

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sum the angles of a quadrilateral is 360 degrees

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Right Triangle (Triangulo Recto)
Isosceles Triangle (Triangulo Isosceles)
Scalene Triangle (Triangle Escaleno)
Equilateral Triangle (Triangulo Equilatero)
Vertices (Vertices)
Quadrilateral (Cuadrilatero)
Interior Angles (Angulos Interiores)

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Propiedad de triángulos "Suma de ángulos interiores de todo triángulo suma 180°"

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Calcular: suma de ángulos interiores de un cuadrilátero

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How would you define a pattern?

¿Como definirias un patron?

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Mention 2 patterns you have noticed at home, school or anywhere else. Why do you think they are patterns?

Menciona 2 patrones que hayas notado en casa, en la escuela o en cualquier otro lugar. ¿Por qué crees que son patrones?

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Where are examples of angles found or used in the real-world?

¿Dónde se encuentran o se utilizan ejemplos de ángulos en el mundo real?

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Using Flipgrid, explain what you learned from today's lesson.

Usando Flipgrid, explica lo que aprendistes de la leccion de hoy.

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We express ourselves in different ways. On Flip, you can use our simple and fun built-in camera to record your thoughts, add effects and share within your Flip group as video, audio only or text in your web browser or mobile app.

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Flip is a video discussion and sharing app, free from Microsoft.

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Flip (formerly Flipgrid) is a video discussion and video sharing app, free from Microsoft, built for classrooms and beyond. Learn more.

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Choose ONE:
(1) Solve the following problems using a blank piece of paper, or Google Doc👈
(2) Go to Kahoot 👈.
Game Pin: 123456

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(1)
Two angles of a triangle add up to 170 degrees. What is the size of the third angle?

Dos ángulos de un triángulo suman 170 grados. ¿Cuál es el tamaño del tercer ángulo?

(2)
Two angles of a triangle add up to 100 degrees. What is the size of the third angle?

Dos ángulos de un triángulo suman 75 grados. ¿Cuál es el tamaño del tercer ángulo?

(3)
Three angles of a quadrilateral add up to 310 degrees. What is the size of the fourth angle?

Tres ángulos de un cuadrilátero suman 340 grados. ¿Cuál es el tamaño del cuarto ángulo?

(4)
Three angles of a quadrilateral add up to 300 degrees. What is the size of the fourth angle?

Tres ángulos de un cuadrilátero suman 295 grados. ¿Cuál es el tamaño del cuarto ángulo?

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Add your answers on our Jamboard 👈
Johnny says that he can draw a triangle for which the size of the angles is 45 degrees, 80 degrees, and 90 degrees. Can Johnny do what he claims. Why or why not? Explain your reasoning.

Johnny dice que puede dibujar un triángulo para el que el tamaño de los ángulos es 45

grados, 80 grados y 90 grados. ¿Johnny puede hacer lo que dice? ¿Por que o por que no? Explica tu razonamiento.

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The sum of the three angles in any triangle sum to 180 degrees. The importance of this fact in Geometry cannot be emphasized enough. The triangle angle sum theorem is used in almost every missing angle problem, in the exterior angle theorem, and in the polygon angle sum formula.

One of the most important properties of triangles that we use all over Geometry is this triangle, angle, sum. What this is talking about is the 3 angles in a triangle and what they're always going to add up to. We're going to look at this two different ways, the first one using a physical model of a triangle secondly we're going to walk over here and we're going to look at this triangle and prove it on the board using some Algebra. So let's start off with this triangle, what's a way that I can determine what these 3 angles of the scaling triangle have to add up to?
Well, what I could do, is that I could tear off each of these 3 angles. So here I've got 1 piece and I'm going tear off another piece and what I've done is I've created 3 different angles. So what I'm going to do, is I'm going too take these 3 angles which I've already precut out and taped and I'm going to tape them on the board to see if we can figure anything out. So here's angle 1 and I'm going to tape on the board and I'm going to grab angle 2 and so you can make a difference between the different angles I'm going to leave a little bit of space here, so here's angle 2, so that way you can see that there's a little bit of a difference and last angle 3, and again leaving a little bit of space so you can see that we have 3 different angles and they form a straight line.
We know that a straight line is always 180 degrees, so what we can say is that angle 1 plus angle 2 plus angle 3 sum to 180 degrees. But does this always work? It will work for any triangle. So let's move over to the Algebraic explanation of this, right here we have a triangle with 3 angles labeled 1, 2 and 3, and for this proof I'm going to draw in 3 auxiliary lines. The first auxiliary line or helping line is going to be parallel to this base containing 1 and 3. Now to extend our 2 other auxiliary lines I'm going to think of these as transversals that is a line that intersects 2 parallel lines. So we've got 1 transversal right there and we have our second transversal right here.
I'm also going to add in 2 more angles, angle 4 and angle 5. So what can we say about 4, 2 and 5, well it's pretty clear that they are all forming one line. So I'm going to say that angle 4 plus angle 2 plus angle 5 sum to 180 degrees. If I compare my 2 equations, one equation has our 3 angles 1, 2, 3 so this is where we want to end up, the other one has 4 and 5 instead of 1 and 3. So how can we rectify this problem, well I see that angel 4 and angle 1 are alternate interior angles. So what I'm going to do, I'm going to say angle 4 is congruent to angle 1 by alternate interior angles. By the same token we can say that 5 and 3 are alternate interior angles as well. Which means angle 5 is congruent to angle 3 by alternate interior angles. So what I'm going to is I'm going to substitute in for 4 with angle 1 and in for angle 5 angle 3. So I'm going to write angle 1 plus angle 2 plus angle 3 sum to 180 degrees. So we've proved it two ways, one by tearing up the 3 pieces of a triangle and seeing that they form a line and secondly using this Algebraic proof where we drew this parallel line that helped us prove that the 3 angles in a triangle will sum to 180 degrees.

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Triangle Angle Sum - Concept - Geometry Video by Brightstorm

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The sum of the three angles in any triangle sum to 180 degrees. The importance of this fact in Geometry cannot be emphasized enough. The triangle angle sum theorem is used in almost every missing angle problem, in the exterior angle theorem, and in the polygon angle sum formula.

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Students will:

Investigate  and predict sums of angles by experimenting with different models.

Demonstrate that the sum of interior angles of all triangles is 180 degrees and for all quadrilaterals is 360 degrees.

Calculate missing angles using diagrams of triangles and quadrilaterals

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Estudiantes:

Investigaran y predeciran sumas de ángulos experimentando con diferentes modelos.

Demostraran que la suma de los ángulos interiores de todos los triángulos es 180 grados y para todos los cuadriláteros es 360 grados.

Calcularan los ángulos faltantes usando diagramas de triángulos y cuadriláteros

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Do you think patterns can help us come up with valuable conclusions?

¿Crees que los patrones pueden ayudarnos a llegar a conclusiones valiosas?