Tara is given a drawing of triangle rst. she is told that + tarn has to show that triangle rst must be
a right triangle thra draws right triangle jkl and makes the lengths of the legs of triangle jkl the same as the
lengths of two of the sides of triangle rst triangle rst and triangle jkl are shown below.
t i slik
since triangle jkl is a right triangle, tara knows that ? + 5 n by using the pythagorean theorem since
and + m. it must be that and run so tara has shown that the lengths of the sides of
tringle rst and right triangle jkl are the same. which conclusion can tara make to show that triangle rst is a
right triangle?
a
since the lengths of the sides of both triangles are the same, the areas of the triangles must be the same, so
angle t must be a right angle and triangle rst must be a right triangle.
b.
since the lengths of the sides of both triangles are the same, the sum of the measures of the angles in both
triangles must be the same, so angle t must be a right angle and triangle rst must be a right triangle
since the lengths of the sides of both triangles are the same, the measures of all the angles in both triangles
must be the same. since angle l is a right angle, all the angles in both triangles, including angle t. must be
right angles, so triangle rst must be a right triangle
since the lengths of the sides of both triangles are the same, the measures of the corresponding angles of
the triangles must be the same. since angle l is a right angle, angle t must also be a night angle and
triangle rst must be a right triangle