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People's Education Press First Grade Mathematics Volume 2
Category | Format | Size |
---|---|---|
People's Education Press Eighth Grade Mathematics Volume 1 | pptx | 6 MB |
Description
"Equilateral Triangle" Axis Symmetry PPT Courseware 2
Knowledge review:
(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.
theorem:
In a right triangle, if an acute angle equals 30°, then the right side it opposes is equal to half the hypotenuse.
That is, in Rt△ABC, if
∠AC = 90° ∠A= 30 °
Then BC=1/2AB
Proof: Extend BC to D, make CD=BC, and connect AD.
∵∠ACB=90°∠BAC=30° then ∠B=60°.
∵ ∠ACB=90° ∴∠ACD=90°
∵ AC=AC ∴ △ABCC≌△ADC(SAS)
∴ AB=AD (corresponding sides of congruent triangles are equal)
∴ △ABD is an equilateral triangle (an isosceles triangle with one angle of 60° is an equilateral triangle).
∴ BC=1/2BD=1/2AB
Conclusion: In a right triangle, the side opposite to 30° is equal to half the hypotenuse.
Keywords: axial symmetry courseware, equilateral triangle courseware, New People's Education Edition eighth grade mathematics PPT courseware, eighth grade mathematics slide courseware download, axial symmetry PPT courseware download, equilateral triangle PPT courseware download, .ppt format
For more information about the "Axisymmetric Equilateral Triangle" PPT courseware, please click the "Axisymmetric ppt Equilateral Triangle ppt" tab.
"Determination of Equilateral Triangle" Proof PPT Courseware:
"Determination of Equilateral Triangle" Proof PPT Courseware When a triangle meets what conditions can it become an equilateral triangle? What conditions must be met for an isosceles triangle to become an equilateral triangle? Do you think an isosceles triangle with an angle of 600 is an equilateral triangle?
"Equilateral Triangle" Axis Symmetry PPT Courseware 3:
"Equilateral Triangle" Axis Symmetry PPT Courseware 3 Explore New Knowledge Contains 30 Exploration of the properties of right-angled triangles: In △ABD, AB = BD = DA, AC is the height of the base BD, explore the relationship between the quantities of BC and AB ? Analysis: ∵ AC is equal to...
"Equilateral Triangle" Axisymmetric PPT courseware:
"Isosceles Triangle" Axis Symmetry PPT Courseware Review 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 to equal angles)..
File Info
Update Time: 2024-10-19
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