Use the Hinge theorem and its converse and solve the following

what can be the x value?

Write a contradictory assumption for “if in ∆XYZ, ∠X = 60°, ∠Y = 60°, then ∆XYZ is an equilateral triangle.”

If in triangle XYZ , Y=60 and X=60, then triangle XYZ is not an equilateral triangle.

Write the contradictory assumption for “if a and b are even numbers, then a + b is an even number.”

What is the temporary assumption to prove that A is an obtuse angle by proof of contradiction?

Use the Hinge theorem and complete the relationships in the given questions.

 

Use the Hinge theorem and complete the relationships in the given questions.

 

Use the Hinge theorem and complete the relationships in the given questions.

 

Use the Hinge theorem and complete the relationships in the given questions.

 

Use the Hinge theorem and complete the relationships in the given questions.

 

What is the temporary assumption used to prove that   “If a + b ≠ 18, and a = 16 then b ≠ 2”?

 

In the given figure AB = CD,

If ∠CAB > ∠DCA then,

In the given figure AB = CD,

If AD > BC then,

Indirect proof is also called ____

If G is the centroid of triangle ABC,

Find GD.

Centroid divides a median in the ratio 2:1

If G is the centroid of triangle ABC,

Find BG.

BE= 12

If G is the centroid of triangle ABC,

Find BE.

BG = 4x + 4
BG = 2/3 BE
4x + 4 = 2/3 (7x + 5)
12x + 12 = 14x + 10
2x = 2
x = 1
BE = 7x + 5
= 12