Unit 3 Pretest: Geometry and Numbers

Which of the following numbers is irrational?

What is the result of a 90-degree clockwise rotation of point (3, 4) around the origin?

If a figure is translated 5 units to the right and 3 units up, what is the new position of point (2, -1)?

Which of the following is a rational number?

A triangle has angles described by $$x$$ , $$2x$$ , and $$3x$$ . What is the value of $$x$$ ?

What is the image of point (-3, 5) after a translation 4 units to the left and 6 units down?

Which of the following numbers is irrational?

What is the result of a 180-degree rotation of point (5, -2) around the origin?

If a figure undergoes a translation that moves it 8 units left and 5 units down, what is the new position of point (10, 10)?

In a pair of complementary angles, one angle is described as $$2x + 10$$ and the other as $$x - 20$$ . What is the value of $$x$$ ?