Question

Two triangles both have angles that measure 30º, 60º, and 90º. Two quadrilaterals both have angles that measure 60º, 90º, 90º, and 120º.

Which statements must be true? I. The two triangles are congruent. II.
The two triangles are similar.
III. The two quadrilaterals are congruent
. IV. The two quadrilaterals are similar.

A Statements I, II, III, and IV
B Statements I, II, and IV
C Statements II and IV
D Statement II only

Answer 1

Option C

Explanation:

If all the angles are equal in a triangle and a quadrilateral, they are similar. They are not congruent since the length of the sides may vary.

The triangles are similar by AAA or AA similarity criterion.