The World of Triangles
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The World Of Triangles
Triangles
A triangle is a 3-
sided polygon.
Every triangle has
three sides and
three angles. When
added together, the
three angles equal
180°.
Acute Triangles
A triangle in which
all three angles are
less than 90°.
Obtuse Triangles
An obtuse triangle
is a triangle in
which one of the
angles is greater
than 90°.
Right Triangles
A right triangle is
triangle with an
angle of 90°.
Scalene Triangles
A triangle with
three unequal
sides.
Isosceles Triangles
An isosceles
triangle is a triangle
with (at least) two
equal sides.
Isosceles Triangle Theorem
The following
movie shows
that if two sides
of a triangle are
congruent, then
the angles
opposite those
sides are
congruent.
Equilateral Triangles
An equilateral
triangle is a triangle
with all three sides
of equal length.
Equiangular Triangles
An equiangular
triangle is a triangle
which has three
equal angles.
Congruent Triangles
Congruent triangles
are triangles whose
corresponding
angles and sides
are congruent.
They are exactly
the same size and
shape.
The Hypotenuse
The hypotenuse of
a right triangle is
the triangle's
longest side, i.e.,
the side opposite
the right angle.
The Pythagorean Theorem
For a right triangle
with legs
a
and
b
and hypotenuse
c
,
a
2
+b
2
=c
2
.
Triangle Quiz
Please complete the following quiz that
covers the information that was just
presented to you.
Question 1
If a triangle has
three unequal sides
it is a ______
triangle.
A) Scalene
B) Obtuse
C) Isosceles
Answer:
A) Scalene
Question 2
A triangle which
has three equal
angles is a ______
triangle.
A) Acute
B) Equilateral
C) Equiangular
Answer:
C) Equiangular
Question 3
A triangle with (at
least) two equal
sides is a ______
triangle.
A) Scalene
B) Isosceles
C) Congruent
Answer:
B) Isosceles
Question 4
Two triangles that
are equal are
called ______
triangles
A) Acute
B) Obtuse
C) Congruent
Answer:
C) Congruent
Question 5
A triangle with all
three sides of equal
length is a ______
triangle.
A) Equilateral
B) Right
C) Equiangular
Answer:
A) Equilateral
Question 6
A triangle with an
angle of 90° is a
______ triangle.
A) Acute
B) Right
C) Congruent
Answer:
B) Right
Question 7
A triangle in which
all three angles are
less than 90° is a
______ triangle.
A) Right
B) Acute
C) Scalene
Answer:
B) Acute
Question 8
A triangle in which
one of the angles is
greater than 90° is
a ______ triangle.
A) Obtuse
B) Isosceles
C) Acute
Answer:
A) Obtuse
Question 9
What is the
Hypotenuse of a
right triangle?
A) The smallest
angle.
B) The side
opposite the right
angle.
C) The right angle.
Answer:
B) The side
opposite the right
angle.
Question 10
The Pythagorean
Theorem states …
A)
r
2
B) (a+b)
2
/2=c
C) a
2
+b
2
=c
2
Answer:
C) a
2
+b
2
=c
2
Question 11
Use the
Pythagorean
Theorem to solve
the following:
a = 5
b = 12
c = ?
Answer:
c = 13
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Dive into the realm of triangles, from basic properties like sides and angles to the classification into acute, obtuse, right, scalene, isosceles, equilateral, and equiangular triangles. Discover concepts like congruence, the Pythagorean theorem, and the significance of the hypotenuse in right triangles. Unveil the beauty and symmetry of these geometric shapes through engaging visuals and explanations.
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Presentation Transcript
Triangles A triangle is a 3- sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180 .
Acute Triangles A triangle in which all three angles are less than 90 .
Obtuse Triangles An obtuse triangle is a triangle in which one of the angles is greater than 90 .
Right Triangles A right triangle is triangle with an angle of 90 .
Scalene Triangles A triangle with three unequal sides.
Isosceles Triangles An isosceles triangle is a triangle with (at least) two equal sides.
Isosceles Triangle Theorem The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Equilateral Triangles An equilateral triangle is a triangle with all three sides of equal length.
Equiangular Triangles An equiangular triangle is a triangle which has three equal angles.
Congruent Triangles Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape.
The Hypotenuse The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.
The Pythagorean Theorem For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.
Triangle Quiz Please complete the following quiz that covers the information that was just presented to you.
Question 1 If a triangle has three unequal sides it is a ______ triangle. A) Scalene B) Obtuse C) Isosceles Answer: A) Scalene
Question 2 A triangle which has three equal angles is a ______ triangle. A) Acute B) Equilateral C) Equiangular Answer: C) Equiangular
Question 3 A triangle with (at least) two equal sides is a ______ triangle. A) Scalene B) Isosceles C) Congruent Answer: B) Isosceles
Question 4 Two triangles that are equal are called ______ triangles A) Acute B) Obtuse C) Congruent Answer: C) Congruent
Question 5 A triangle with all three sides of equal length is a ______ triangle. A) Equilateral B) Right C) Equiangular Answer: A) Equilateral
Question 6 A triangle with an angle of 90 is a ______ triangle. A) Acute B) Right C) Congruent Answer: B) Right
Question 7 A triangle in which all three angles are less than 90 is a ______ triangle. A) Right B) Acute C) Scalene Answer: B) Acute
Question 8 A triangle in which one of the angles is greater than 90 is a ______ triangle. A) Obtuse B) Isosceles C) Acute Answer: A) Obtuse
Question 9 What is the Hypotenuse of a right triangle? A) The smallest angle. B) The side opposite the right angle. C) The right angle. Answer: B) The side opposite the right angle.
Question 10 The Pythagorean Theorem states A) pr2 B) (a+b)2/2=c C) a2+b2=c2 Answer: C) a2+b2=c2
Question 11 Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ? Answer: c = 13
This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.
