"Equilateral Triangle" Axis Symmetry PPT Courseware

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"Equilateral Triangle" Axis Symmetry PPT Courseware

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1. What is an isosceles triangle?

A triangle with two equal sides is an isosceles triangle.

2. What are the properties of an isosceles triangle?

The two sides of an isosceles triangle are equal AB=AC

The two base angles are equal ∠B = ∠C (equal sides correspond to equal angles)

The bisector of the vertex of an isosceles triangle, the midline on the base and the height line on the base coincide with each other (three lines combined into one)

3. How to determine an isosceles triangle

Equiangular opposite sides

An isosceles triangle is an axially symmetrical figure

Properties of equilateral triangles

⑴The three sides of an equilateral triangle are equal (AB=AC=BC)

⑵The three interior angles of an equilateral triangle are equal, and each angle is equal to 60°. (∠ A= ∠ B= ∠ C=60°)

What kind of triangle is an isosceles triangle with interior angles equal to 60°?

If AB=AC. Then ∠ B= ∠ C

1. When the vertex angle ∠A=60 °, ∠ B= ∠ C= 60 °

∴ ∠A= ∠ B= ∠ C=60 °

∴ △ABC is an equilateral triangle.

2. When the base angle ∠ B= 60, ∠ C=60 °,

∠A=180 -(60 °+60 °)=60. °

∴ ∠A= ∠ B= ∠ C=60 °

∴ △ABC is an equilateral triangle.

summary:

(1). Properties of equilateral triangles.

1. The interior angles of an equilateral triangle are all equal and equal to 60°

2. An equilateral triangle is an axially symmetrical figure with three axes of symmetry.

3. The median, height and bisector of the opposite angle on each side of an equilateral triangle are all three lines.

(2) Determination of equilateral triangle:

1. A triangle with three equal sides is an equilateral triangle.

2. A triangle with three interior angles equal to 60° is an equilateral triangle.

3. An isosceles triangle with an interior angle equal to 60° is an equilateral triangle.

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For more information about the "Axisymmetric Equilateral Triangle" PPT courseware, please click the "Axisymmetric ppt Equilateral Triangle ppt" tab.

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Update Time: 2024-12-11

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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