In Exercises 11 and 12, make drawings as needed. Suppose that T is a point on side P Q ¯ of Δ P Q R . Also, R T ¯ bisects ∠ P R Q , and ∠ P ≅ ∠ Q . If ∠ 1 and ∠ 2 are the angles formed when R T ¯ intersects P Q ¯ , explain why ∠ 1 ≅ ∠ 2 .
In Exercises 11 and 12, make drawings as needed. Suppose that T is a point on side P Q ¯ of Δ P Q R . Also, R T ¯ bisects ∠ P R Q , and ∠ P ≅ ∠ Q . If ∠ 1 and ∠ 2 are the angles formed when R T ¯ intersects P Q ¯ , explain why ∠ 1 ≅ ∠ 2 .
Solution Summary: The author explains that angle 1 is congruent to the sum of the measures of interior angles in a triangle.
Suppose that
T
is a point on side
P
Q
¯
of
Δ
P
Q
R
. Also,
R
T
¯
bisects
∠
P
R
Q
, and
∠
P
≅
∠
Q
. If
∠
1
and
∠
2
are the angles formed when
R
T
¯
intersects
P
Q
¯
, explain why
∠
1
≅
∠
2
.
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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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY