: Which of the following has congruent base angles? A all trapezoids B all isosceles trapezoids C all kites D all quadrilaterals

1 answer
Question:

:
Which of the following has congruent base angles?
A
all trapezoids
B
all isosceles trapezoids
C
all kites
D
all quadrilaterals

Answers

All isosceles trapezoids have congruent base angles.Option AExplanation:An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.Properties of isosceles trapezoid: Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent).The bases (both top and bottom) of an isosceles trapezoid are parallel. Note: Refer the attached file for the image of an isosceles trapezoid.All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.

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