Pythagorean Theorem STAAR Review

In this figure, what is the length of line segment MN

Mathematical Equivalence

ON

The distance from Megan to the point on the ground directly below the kite is ​ ​ (a)   ​ ​ ​​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

• 80 yd
• 60 yds
• 240 yd
• 120 yd

The diagram shows 3 squares that are joined at vertices to form a right triangle. Which statement is true?

• The sum of the areas of Square N and Square L is equal to the area of Square K

• The sum of the areas of square N and Square L is greater than the area of Square K

• The sum of the areas of Square N and Square K is equal to the area of Square L

• The sum of the areas of Square N and Square K is less than the area of Square L

Which of the following could not be the lengths of the sides of the triangle? (a)  

• 10 yd, 14 yd, 17 yd
• 16 m, 30 m, 34 m
• 10 yd, 10.5 yd,
• 18 ft, 24 ft, 30 ft

Porter drove due east 20 miles on Interstate 23, then drove due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point? (a)  

• 43 mi
• 11.36 mi
• 26 mi
• 30.48 mi

The perimeter of the right triangle to the left is ​ ​ ​ ​ (a)  

• 90
• 7
• 83
• 39

Which of the following could be the lengths of the three sides of a right triangle? (a)  

• 10 ft, 15 ft, 20 ft
• 16cm, 30cm, 34cm
• 2.5 in, 6 ft, 6.5 ft
• 4 in, 5 in, 6 in

The coordinate grid to the left shows line segment XY. Which measurement is closest to the length of line segment XY in units? (a)  

• 7.8 units
• 16.0 units
• 13.0 units
• 11.7 units

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurment is closest to the length of the diagonal in inches?

• 6.24 in.

• 19.5 in.

• 6.98 in.

• 13.9 in.

The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet.

What is the length of the ramp in feet?

Record your answer below. Be sure to use the correct place value.