X , Y , and Z are on circle O such that m X Y ⌢ = 120 ° , m Y Z ⌢ = 130 ° , and m X Z ⌢ = 110 ° . Suppose that triangle X Y Z is drawn and that the triangle A B C is constructed with its sides tangent to circle O at X , Y , and Z . Are △ X Y Z and △ A B C similar triangles ?
Solution Summary: The author explains that the triangles ABC and XYZ are not similar.
X
,
Y
, and
Z
are on circle
O
such that
m
X
Y
⌢
=
120
°
,
m
Y
Z
⌢
=
130
°
, and
m
X
Z
⌢
=
110
°
. Suppose that triangle
X
Y
Z
is drawn and that the triangle
A
B
C
is constructed with its sides tangent to circle
O
at
X
,
Y
, and
Z
. Are
△
X
Y
Z
and
△
A
B
C
similar triangles?
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY