geometry. triangles triangle angle sum theorem: the sum of the angles in any triangle is 180°...
TRANSCRIPT
![Page 1: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/1.jpg)
Geometry
![Page 2: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/2.jpg)
Triangles
• Triangle angle sum theorem: the sum of the angles in any triangle is 180°
• Triangle inequality theorem: the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
![Page 3: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/3.jpg)
Is this possible
• To draw a triangle with sides measuring 2cm, 3 cm, and 6 cm? (explain)
• To construct a triangle with angles measuring 30°, 50°, and 100°
![Page 4: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/4.jpg)
Angles
• Adjacent angles: two angles that have a common side and a common vertex
• Vertical angles: two angles opposite one another when lines intersect. (vertical angles are congruent)
• Supplementary angles: two angles whose measures add to 180°
• Complementary angles: two angles whose measures add to 90°
![Page 5: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/5.jpg)
Surface Area
• Surface area of a three dimensional figure is the sum of the areas of all of its surfaces.
• Find the area of each of the faces then add them to find the total.
• Independent practice p.34 ws.
![Page 6: Geometry. Triangles Triangle angle sum theorem: the sum of the angles in any triangle is 180° Triangle inequality theorem: the sum of the lengths of any](https://reader036.vdocument.in/reader036/viewer/2022082610/56649f435503460f94c63cb3/html5/thumbnails/6.jpg)
Volume
• Volume of a three-dimensional figure is the number of cubic units that fit inside it.
• You can also use formulas to find volume.
• Practice p.38 and 39 ws.