Geo OPT 1 Readiness Quiz Mod 1: Reasoning with Shapes

Triangle DEF is a right triangle with points D(1,1) and E(5,4). Which of the following could be the coordinate of point F? Select all that apply.

• (1,4)

• (5,1)

• (6,1)

• (1,7)

A triangle on the coordinate plane has points located at P(1,3), Q(4,7), and R(7,3). What is the area of the triangle? The area of the triangle is ______ units squared.

• 12
• 9

• 24

• 6

Which is the slope of a line that is perpendicular to the line that passes through the points (2,3) and (5,7)? Type your response as an integer or fraction.​ (a)  

Quadrilateral ABCD has vertices A(1,3), B(4,8), C(7,3), and D(4,-2). What is the best name for quadrilateral ABCD?

• trapezoid

• square

• parallelogram

• rectangle

Square ABCD on the coordinate plane has points A(1,1), B(6,6), and C(1,11). What are the coordinates of point D?

• (-4, 6)

• (-4, 1)

• (-3, 5)

• (0, 0)

Write the equation of a line that passes through the point (3,-2) and is perpendicular to a line that passes through the points (1,2) and (5,6).

Square PINT has vertices N(3,2) and T(3,7). What is the area of square PINT?

• 25 units

• 20 square units

• 25 cubed units

• 25 squared units

Which of these figures has no lines of symmetry?

• Butterfly

• Foot

• Letter D

• Option 1

• Option 2

• Option 3

Match the geometric figure used to define the transformation.

• angle

• reflection

• line

• Translation

• line segment

• rotation