Geometry Chapter 10 Flashcards

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Questions and Answers

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?

A triangle with three congruent sides

What is an isosceles triangle?

A triangle with at least two congruent sides

What is a scalene triangle?

A triangle with no congruent sides Signup and view all the answers

What are the 4 ways to classify triangles by their angles? (Select all that apply)

Acute Signup and view all the answers

What is an acute triangle?

A triangle with 3 acute angles Signup and view all the answers

What is an obtuse triangle?

A triangle with one angle that is greater than 90 degrees Signup and view all the answers

What is a right triangle?

A triangle with one right angle Signup and view all the answers

What is an equiangular triangle?

A triangle with 3 congruent angles Signup and view all the answers

The sum of the angles of a triangle equals what?

180° Signup and view all the answers

How do you find the perimeter of a polygon?

Add up all the side lengths Signup and view all the answers

Write an equation that illustrates the angle measures of a triangle if the ratio of the angle measures is 7 : 16 : 22.

7x + 16x + 22x = 180 Signup and view all the answers

A polygon is a 2D shape that...

has straight lines, is closed, has no intersecting lines Signup and view all the answers

What is a regular polygon?

A polygon that has congruent sides and congruent angles Signup and view all the answers

What is a quadrilateral?

A 4 sided polygon Signup and view all the answers

What is the difference between a convex polygon and a concave polygon?

Convex polygons have all interior angles less than 180 degrees, while concave polygons have at least one interior angle greater than 180 degrees. Signup and view all the answers

What is a pentagon?

A 5 sided polygon Signup and view all the answers

What is a hexagon?

A 6 sided polygon Signup and view all the answers

What is an octagon?

An 8 sided polygon Signup and view all the answers

What is an n-gon?

A polygon with n sides Signup and view all the answers

What is a trapezoid?

A quadrilateral with exactly one pair of parallel sides Signup and view all the answers

What is a parallelogram?

A quadrilateral with two pairs of parallel sides Signup and view all the answers

What is a rhombus?

A parallelogram with four congruent sides Signup and view all the answers

What is a rectangle?

A parallelogram with four right angles Signup and view all the answers

What is a square?

A parallelogram with four congruent sides and four right angles Signup and view all the answers

The sum of the angles of a quadrilateral equals what?

360° Signup and view all the answers

What is the formula for the area of a parallelogram?

A = bh Signup and view all the answers

What is the formula for the area of a trapezoid?

A = 1/2(b1 + b2)h Signup and view all the answers

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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Description

Test your knowledge with these flashcards on triangle classification from Chapter 10. Learn about the three types of triangles based on their side lengths: equilateral, isosceles, and scalene. Ideal for students looking to solidify their understanding of basic geometry concepts.