Isosceles Triangles Answers

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Consider the diagram and proof by contradiction.Given: △ABC with AB ≅ AC

Question illustration
A
AB ≠ AC
B
∠B ≅ ∠C
C
ABC is not a triangle
D
∠A ≅ ∠B ≅ ∠C
3

is a perpendicular bisector of .

Question illustration
A
It will be a right triangle.
B
It will be an acute triangle.
C
It will be an equilateral triangle.
D
It will be an isosceles triangle.
7

GJ bisects ∠FGH and is a perpendicular bisector of FH.

Question illustration
A
It is a right triangle.
B
It is an obtuse triangle.
C
It has exactly 2 congruent sides.
D
It has exactly 3 congruent sides.
9

Consider the diagram and proof by contradiction.Given: △ABC with ∠B ≅ ∠CProve: AB ≅ AC

Question illustration
A
converse of the isosceles triangle theorem
B
substitution
C
definition of congruency
D
converse of the triangle parts relationship theorem
10

What is true about QRT? Select two options.

Question illustration
A
QRT = 90°
Option A
B
QRT = SRT
Option B
C
QRT STQ
Option C
D
QRT = 2*RTQ
Option D
E
QRT RTQ
Option E

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