•   Geometry
•   Objective: Exploring symmetry and transformation
•   Level 5

The keywords for each question in this search are:

Question 1: Scale factor; enlargement; similar shapes
Question 2: Parallelogram
Question 3: Scale factor; enlargement; similar shapes
Question 4: Triangle; similar shapes
Question 5: Rectangle

Triangles ABC and DEF are similar triangles.

What is the length of side AC?

(A)   2
(B)   4
(C)   4.5
(D)   5.5
(E)   32

A quadrilateral MUST be a parallelogram if it has

(A)   one pair of adjacent sides equal.
(B)   one pair of parallel sides.
(C)   a diagonal as axis of symmetry.
(D)   two adjacent angles equal.
(E)   two pairs of parallel sides.

The figure represents two similar triangles. The triangles are not drawn to scale.

In the actual triangle ABC, what is the length of side BC?

(A)   3.5 cm
(B)   4.5 cm
(C)   5 cm
(D)   5.5 cm
(E)   8 cm

Two of the triangles below are similar.

I	II	III	IV

Which two triangles are similar?

(A)   I and II
(B)   I and III
(C)   I and IV
(D)   II and IV
(E)   III and IV

Which of the following is NOT true for all rectangles?

(A)   The opposite sides are parallel.
(B)   The opposite sides are equal.
(C)   All angles are right angles.
(D)   The diagonals are equal.
(E)   The diagonals are perpendicular.