G.2 types of triangle and angles of triangles
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The document discusses different types of triangles classified by their angles and sides. It describes right triangles which have a 90 degree angle, acute triangles with angles all less than 90 degrees, obtuse triangles with an angle greater than 90 degrees, and equilateral triangles with all three angles congruent. Triangles are also classified as scalene, isosceles, or equilateral based on their side lengths. Students work in groups to measure angles and sides of triangles and classify them. Special triangle theorems are presented including the sum of interior angles equaling 180 degrees and the exterior angle theorem. Examples of using the theorems to solve for unknown angles are provided.
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Lesson plan angle sum of triangle
This lesson plan introduces students to the angle sum of a triangle through three methods: measuring angles with protractors, cutting out triangles and rearranging the corners, and using GeoGebra software. Students will work in groups to measure angles, cut out triangles, and explore interactive worksheets. They will discover that regardless of the type of triangle, the interior angles always sum to 180 degrees. The lesson concludes with an assessment involving calculating unknown angles based on given measures.
Lesson plan - angle sum of triangle
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This document discusses two ways to classify triangles: by their side lengths or by their angles. For side classification, triangles are either scalene with no equal sides, or isosceles with at least two equal sides. For angle classification, triangles are either acute with all angles less than 90 degrees, right with one 90 degree angle, or obtuse with one angle over 90 degrees. Examples are given of classifying triangles into these different categories.
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1) The document defines an angle as being formed by two rays with a common endpoint called the vertex. Angles can have points in their interior, exterior, or on the angle.
2) There are three main ways to name an angle: using three points with the vertex in the middle, using just the vertex point when it is the only angle with that vertex, or using a number within the angle.
3) There are four types of angles: acute, right, obtuse, and straight. Angles are measured in degrees with a full circle being 360 degrees.
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Cr #7
The document contains a math worksheet with 10 problems:
1) Finding the percentage of cars with fuel efficiency over 20 mpg using proportions
2) Calculating discount prices on a sweater using proportions
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7) Determining the maximum number of 15-inch pieces that can be cut from two 7-foot boards
8) Plotting and drawing two triangles on a coordinate grid
9) Evaluating an algebraic expression for a given value of x
10
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G.2 types of triangle and angles of triangles
- 1. Types of Triangle and Angles of Triangles Classification and Properties
- 7. Remote Interior Angle Theorem Example: 80 60 140 x
- 8. Isosceles Triangle Theorem Example: 54 x
- 9. Homework Examples: (6y 20)° (8y + 6)° 8y°
- 10. Homework Examples (5x 8)° (4x + 20)°
- 11. HOMEWORK EXAMPLES: y° (4y 22)° 60°
- 12. Homework Examples: 132° (3x + 2)° (2x 7)°