Game - Geogebra

yolanda, 5 Nis 2026

İçindekiler

  1. Elements of trigonometry in the right triangle: tan, cotan
    1. Tan -cotan
    2. Tan -Cotan 1
  2. perpendicular bisectors
    1. Perpendicular bisectors
  3. Properties of an isosceles triangle
    1. Properties of an isosceles triangle
  4. The Circumscribed Circle
    1. The Circumscribed Circle
  5. Trigonometry in Right Triangles
    1. Trigonometry in Right Triangles – Worksheet
    2. Trigonemetry problem
  6. Metric Relations in Any Triangle
    1. Metric Relations in Any Triangle – Worksheet
  7. The Magic of Circle in Geometry and Life
    1. Hexagon by Cirle
    2. Regular dodecagon
    3. Flower circle
    4. Flowercircle
    5. Artcircle
  8. Perfect Shape Detectives
    1. London Eye
    2. Manhole cover
    3. Onion

1.

Elements of trigonometry in the right triangle: tan, cotan

  • 1. Tan -cotan
  • 2. Tan -Cotan 1

1.1.

Tan -cotan

In a right triangle, what is the definition of the tangent (tan) of an acute angle?
In a right triangle, what is the definition of the cotangent (cotan) of an acute angle?
– yolanda

1.2.

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2.

perpendicular bisectors

  • 1. Perpendicular bisectors

2.1.

Perpendicular bisectors

What is a perpendicular bisector of a side of a triangle?
What is the point of intersection of the perpendicular bisectors of a triangle called?
What is special about the circumcenter of a triangle?
The circumcenter is the center of which circle?
– yolanda

3.

Properties of an isosceles triangle

  • 1. Properties of an isosceles triangle

3.1.

Properties of an isosceles triangle

What is true about an isosceles triangle?
In an isosceles triangle, the base angles are:
The line drawn from the vertex (top angle) to the base in an isosceles triangle is:
– yolanda

4.

The Circumscribed Circle

  • 1. The Circumscribed Circle

4.1.

The Circumscribed Circle

In a right-angled triangle, the two legs (the sides forming the right angle) have lengths a = 9 cm and b = 12 cm. What is the radius R of the [b]circumscribed circle[/b]?
A right-angled triangle has sides with lengths a = 5 cm, b = 12 cm, and a hypotenuse c = 13 cm. What is the radius $r$ of the [b]inscribed circle[/b] (inradius)?
– yolanda

5.

Trigonometry in Right Triangles

  • 1. Trigonometry in Right Triangles – Worksheet
  • 2. Trigonemetry problem

5.1.

Trigonometry in Right Triangles – Worksheet

Find:[br][br]a) sin(θ) = ______[br][br]b) cos(θ) = ______[br][br]c) tan(θ) = ______
– yolanda

5.2.

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6.

Metric Relations in Any Triangle

  • 1. Metric Relations in Any Triangle – Worksheet

6.1.

Metric Relations in Any Triangle – Worksheet

Part A: Use the Law of Sines
In triangle ABC:[br][br]A=30∘, B=45∘ , a=10a = 10[br][br]👉 Find side bb[br]
Part B: Use the Law of Cosines
In triangle ABC:[br][br]b=7, c=9, A=60∘[br][br]👉 Find side aaa
Part C: Area of a Triangle
Given: a=5a = 5a=5, b=7b = 7b=7, C=30∘C = 30^\circC=30∘[br][br]👉 Find the area
– yolanda

7.

The Magic of Circle in Geometry and Life

  • 1. Hexagon by Cirle
  • 2. Regular dodecagon
  • 3. Flower circle
  • 4. Flowercircle
  • 5. Artcircle

7.1.

Hexagon by Cirle

– yolanda

7.2.

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7.3.

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7.4.

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7.5.

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8.

Perfect Shape Detectives

  • 1. London Eye
  • 2. Manhole cover
  • 3. Onion

8.1.

London Eye

1. Basic Geometry Questions
[list=1][*][br]The London Eye has a radius of [b]67.5 m[/b].[br][br] Find the [b]diameter.[/b][/*][/list]
2. [br]Calculate the [b]circumference[/b] of the wheel.
3. Find the [b]area[/b] of the circle formed by the wheel.
4. One full rotation takes [b]30 minutes[/b].[br][br]How far does a capsule travel in one full turn?
5. What is the [b]speed[/b] (m/min) of a capsule?[br][br]speed=distancetime\text{speed} = \frac{\text{distance}}{\text{time}}
6. How far does a capsule travel in [b]10 minutes[/b]?
7. If a capsule moves through [b]90°[/b], what distance does it travel?
8. What angle corresponds to [b]half a rotation[/b]?
9. Why is a [b]circle better than a square[/b] for a wheel like this?
10. How does the circular shape help with [b]balance and safety[/b]?
– yolanda

8.2.

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8.3.

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Bilgi