Math 8 EOG G Review

Justin is marking a border for his garden. He walks 200 feet due east, turns and walks 120 feet due south, and then turns again and walks in a straight line back to where he started. To the nearest foot, how far does Justin walk in all?

In square ABCD below, the distance between point A and 6 is 6 units. What is the length of one side of the square?

• $\sqrt{12}$ units

• $\sqrt{18}$ units

• $\sqrt{36}$ units

• $\sqrt{72}$ units

A square with side lengths of 6 centimeters is inscribed in a circle, as shown. What is the diameter of the circle?

• 12 cm

• 6 cm

• $\sqrt{72}$ cm

• $\sqrt{12}$ cm

What is the length of a line segment with endpoints (6, 8) and (-7, 3)?

• $\sqrt{18}$ units

• $\sqrt{26}$ units

• $\sqrt{122}$ units

• $\sqrt{194}$ units

A tree struck by lightning broke at a point 16 feet above ground level. The broken trunk formed a right triangle with the top of the tree resting on the ground 18 feet from the base of the tree, as shown. What is the full height of the tree, to the nearest foot, before it was struck by lightning?

What is the length of the diagonal of the rectangular prism represented by the red line in the figure?

• $\sqrt{14}$ inches

• $\sqrt{74}$ inches

• $\sqrt{84}$ inches
  

• $\sqrt{116}$ inches

What is the distance between the points (2, 15) and (9, 21)?

• 13 units

• $\sqrt{13}$ units

• $\sqrt{85}$ units
  

• 85 units

A triangular flag has one 90^o angle. Which set of measurements could be the side lengths of the flag?

• 20 cm, 24 cm, 26 cm

• 20 cm, 48 cm, 56 cm

• 24 cm, 32 cm, 36 cm

• 24 cm, 45 cm, 51 cm

Use the coordinate grid. What is the length of $\overline{AB}$ ? 

•  $\sqrt{10}$  units

•  $\sqrt{58}$  units

• 10 units

• 58 units

Rafael is using this diagram as part of a proof of the Pythagorean Theorem. A right triangle with sides a, b, and c is divided into two smaller, similar triangles. For one of the steps in his proof, Rafael needs to find the ratio equivalent to $\frac{a}{c}$ . Which of these ratios could he use?

•  $\frac{e}{a}$  

•  $\frac{e}{d}$  

•  $\frac{f}{b}$  

•  $\frac{d}{f}$