In triangle xyz if angle z is congruent angle x, thenwich scale of the triangle xyz are congruent.
Answers
Step-by-step explanation:
Recall the properties of a triangle and the different types of triangles and then properties of angles opposite to equal sides, that is the angles opposite to equal sides are also equal.
Complete step-by-step answer:
A triangle is a three-sided polygon with three angles subtended between the three sides.
Special kinds of triangles include the isosceles triangle, right-angle triangle, and equilateral triangle.
A scalene triangle is a triangle with all sides of differing sizes.
An isosceles triangle is a triangle with any two sides equal.
In our given problem, it is given that XY = YZ, the two sides are equal, hence the triangle XYZ is an isosceles triangle.
For an isosceles triangle, the angles opposite to the equal sides are equal.
Let us prove the statement. Construct a median YP from the vertex Y of the triangle.
Answer:
Step-by-step explanation:
Recall the properties of a triangle and
the different types of triangles and then
properties of angles opposite to equal sides.
that is the angles opposite to equal sides
are also equal.
Complete step-by-step answer:
A triangle is a three-sided polygon with three angles subtended between the three
sides.
Special kinds of triangles include the
isosceles triangle, right-angle triangle, and
equilateral triangle.
A scalene triangle is a triangle with all sides
of differing sizes.
An isosceles triangle is a triangle with any two sides equal.
In our given problem, it is given that XY =YZ, the two sides are equal, hence the
triangle XYZ is an isosceles triangle. For an isosceles triangle, the angles opposite to the equal sides are equal.
Let us prove the statement. Construct a
median YP from the vertex Y of the triangle.