Geometry

Classification of Triangles

Properties of Isosceles Triangles

         

ABC\triangle ABC is an isosceles triangle such that the lengths of AB\overline{AB} and AC\overline{AC} are equal. If BAC=78,\angle BAC=78 ^\circ , what is ABC\angle ABC in degrees?

In the above diagram, ACD\triangle ACD is an isosceles triangle with the length of CA \overline{CA} equal to the length of CD.\overline{CD}. If CD\overline{CD} bisects ACB\angle ACB and ABC=a=66,\angle ABC =a= 66^{\circ}, what is three times ACD\angle ACD in degrees?

In the above diagram, DCE=a=99,AB=AC=CE,\angle DCE=a=99^\circ, \lvert \overline{AB}\rvert =\lvert \overline{AC}\rvert=\lvert \overline{CE}\rvert, and BE\overline{BE} and BD\overline{BD} are both straight lines. What is the value of ABC(=x)\angle ABC(=x) in degrees?

Note: The above diagram is not drawn to scale.

In the above diagram, BAD=22,AB=BD=CD=DE.\angle{BAD} = 22^{\circ}, \overline{AB}=\overline{BD}=\overline{CD}=\overline{DE}. What is CEA?\angle{CEA}?

Note: The above diagram is not drawn to scale.

Which of the following does NOT sufficient to indicate an isosceles triangle?

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