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Questions and Answers
What are the 3 ways to classify triangles by their side lengths? (Select all that apply)
What are the 3 ways to classify triangles by their side lengths? (Select all that apply)
- Equilateral (correct)
- Isosceles (correct)
- Right
- Scalene (correct)
What is an equilateral triangle?
What is an equilateral triangle?
A triangle with three congruent sides
What is an isosceles triangle?
What is an isosceles triangle?
A triangle with at least two congruent sides
What is a scalene triangle?
What is a scalene triangle?
What are the 4 ways to classify triangles by their angles? (Select all that apply)
What are the 4 ways to classify triangles by their angles? (Select all that apply)
What is an acute triangle?
What is an acute triangle?
What is an obtuse triangle?
What is an obtuse triangle?
What is a right triangle?
What is a right triangle?
What is an equiangular triangle?
What is an equiangular triangle?
The sum of the angles of a triangle equals what?
The sum of the angles of a triangle equals what?
How do you find the perimeter of a polygon?
How do you find the perimeter of a polygon?
Write an equation that illustrates the angle measures of a triangle if the ratio of the angle measures is 7 : 16 : 22.
Write an equation that illustrates the angle measures of a triangle if the ratio of the angle measures is 7 : 16 : 22.
A polygon is a 2D shape that...
A polygon is a 2D shape that...
What is a regular polygon?
What is a regular polygon?
What is a quadrilateral?
What is a quadrilateral?
What is the difference between a convex polygon and a concave polygon?
What is the difference between a convex polygon and a concave polygon?
What is a pentagon?
What is a pentagon?
What is a hexagon?
What is a hexagon?
What is an octagon?
What is an octagon?
What is an n-gon?
What is an n-gon?
What is a trapezoid?
What is a trapezoid?
What is a parallelogram?
What is a parallelogram?
What is a rhombus?
What is a rhombus?
What is a rectangle?
What is a rectangle?
What is a square?
What is a square?
The sum of the angles of a quadrilateral equals what?
The sum of the angles of a quadrilateral equals what?
What is the formula for the area of a parallelogram?
What is the formula for the area of a parallelogram?
What is the formula for the area of a trapezoid?
What is the formula for the area of a trapezoid?
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Study Notes
Triangle Classification by Sides
- Triangles can be classified into three types based on side lengths: equilateral, isosceles, and scalene.
- Equilateral Triangle: All three sides are congruent.
- Isosceles Triangle: Has at least two sides that are congruent.
- Scalene Triangle: Contains no congruent sides.
Triangle Classification by Angles
- Triangles can also be classified based on angle measures: acute, obtuse, right, and equiangular.
- Acute Triangle: All three angles are acute (less than 90 degrees).
- Obtuse Triangle: Contains one angle greater than 90 degrees.
- Right Triangle: Has one right angle (exactly 90 degrees).
- Equiangular Triangle: All three angles are congruent.
Triangle Angle Sum
- The sum of the interior angles of a triangle always equals 180°.
Polygon Characteristics
- A polygon is a two-dimensional shape characterized by:
- Straight lines
- Being closed
- No intersecting lines
Regular Polygon Definition
- A regular polygon has both congruent sides and congruent angles.
Common Polygons
- Quadrilateral: A polygon with four sides.
- Pentagon: A polygon with five sides.
- Hexagon: A polygon with six sides.
- Octagon: A polygon with eight sides.
- n-gon: A polygon with n sides, where n can be any integer.
Types of Quadrilaterals
- Trapezoid: A quadrilateral with exactly one pair of parallel sides.
- Parallelogram: A quadrilateral with two pairs of parallel sides.
- Rhombus: A specific type of parallelogram with four congruent sides.
- Rectangle: A parallelogram featuring four right angles.
- Square: A rectangle with both four congruent sides and four right angles.
Quadrilateral Angle Sum
- The sum of the interior angles of a quadrilateral always equals 360°.
Area Formulas
- Area of a Parallelogram: A = base × height (A = bh).
- Area of a Trapezoid: A = 1/2 × (base1 + base2) × height (A = 1/2(b1+b2)h).
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