Parallel Line Geometry: Classifying Triangle ABC with Extended Side AE

Question

AD is parallel to BC.
AE is an extension of side BA.

What type of triangle is ABC?

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Video Solution

Solution Steps

00:00 Identify what type of triangle ABC is
00:03 Parallel lines according to the given information
00:06 Corresponding angles between parallel lines are equal
00:10 The sum of angles in a triangle equals 180
00:13 Therefore, subtract the known angles from 180 to determine the angle
00:24 The angle is right
00:36 The perpendicular bisects the vertex angle
00:42 In an isosceles triangle, the perpendicular also bisects the angle
00:46 This is the solution

Answer

Isosceles.

More Questions

Related Subjects

Types of Triangles Angles In Parallel Lines Collateral angles Adjacent angles Vertically Opposite Angles Alternate angles Corresponding angles Equilateral triangle Isosceles triangle Sides, Vertices, and Angles Acute triangle Obtuse Triangle Scalene triangle Identification of an Isosceles Triangle Right Triangle Corresponding exterior angles Alternate interior angles

Question Types

Angles in Parallel Lines: Isosceles triangle