Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)
isosceles triangles have 2 congruent sides scalene triangles have no congruent sides equilateral triangles have 3 congruent sides
Without a visual or more information, I'm guessing that the picture is of angles 1 and 2 that are consecutive (share an angle side) and a separate picture of consecutive angles 3 and 4. With that said: 1) angle 2 congruent to angle 3................1) given 2) angle 1 is supplementary to angle 2....2) If angles are next to each other --> supps angle 3 is supplementary to angle 4 3) angle 1 congruent angle 4..............3) If supps to congruents angles ---> congruent
angle 3 and 4 are complimentary
Their opposite angle are equal and all 3 angles will add up to 180 degrees
No, it means they have either 2 sides and 1 angle congruent, 2 angles congruent, 2 angles and a side congruent, or 3 sides congruent.
not possible, they only have 3 sides so they have to be congruent by ASA or AAS
All triangles have 3 sides and 3 interior angles that add up to 180 degrees. Equilateral triangles have 3 congruent sides. Isosceles triangles have 2 congruent sides. A right angle triangle can have 2 congruent sides if its interior angles are 90, 45, 45 degrees. A scalene or an obtuse triangle has no congruent sides.
an equilateral triangle has 3 congruent sides and angle measures.
An equilateral triangle has 3 congruent sides
Classification of triangles according to sides: -Scalene Triangle - a triangle with no 2 congruent sides. -Isosceles Triangle - a triangle with at least 2 congruent sides. -Equilateral Triangle - a triangle with 3 congruent sides. Classification of triangles according to angles: -acute triangle - a triangle with 3 acute angles. -right triangle - a triangle with one right angle. -equiangular triangle - a triangle with 3 congruent angles. -obtuse triangle - a triangle with one obtuse angle.
It is an equilateral triangle that has 3 congruent sides
No
How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent
How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent
No triangle can meet those requirements.
No because only 2 of its 3 sides are congruent in an isosceles triangle but all 3 sides of an equilateral triangle are congruent.