IM Geo.2.14 Practice: Bisect It
Select all quadrilaterals for which a diagonal is also a line of symmetry.
Show that diagonal EG is a line of symmetry for rhombus EFGH.
ABDE is an isosceles trapezoid.
Priya makes a claim that triangle is congruent to triangle . Convince Priya this is not true.
In quadrilateral ABCD, triangle ADC is congruent to CBA.
Show that is a parallelogram.
Priya is convinced the diagonals of the isosceles trapezoid are congruent.
She knows that if she can prove triangles congruent that include the diagonals, then she will show that diagonals are also congruent. Help her complete the proof.
is an isosceles trapezoid.
Draw auxiliary lines that are diagonals 
and 
. is congruent to 
because they are the same segment. We know angle and 
are congruent. We know is congruent to 
. Therefore, triangle and 
are congruent because of 
. Finally, diagonal is congruent to 
because 
.
Is triangle congruent to triangle ? Explain your reasoning.
Triangle is isosceles with congruent sides and .
Which additional given information is sufficient for showing that triangle is isosceles? Select all that apply.