act aspire part 1 geometry pythagorean theorem. act aspire write down everything you know about...
TRANSCRIPT
Multiple Choice #1• Jamie’s rectangular garden has a length of 12 feet and
a width of 19 feet. What is the length of the diagonal, in feet, of the garden?
• A 505• B 31• C 23• D 22.5• E 7.8
Answer is D
Multiple Choice #2
• Trapezoid JKLM is shown below.• What is the length, in centimeters, of KL ?• A 12• B 10• C 9• D 8• E 6
Answer is B
Multiple Choice #3• A right triangle has a hypotenuse measuring 26
inches and one leg measuring 10 inches. What is the length, in inches, of the other leg of the triangle?
• A 24• B 36• C 16• D 50• E NH
Answer is A
Constructed Response #4
• The dimensions of a trapezoid are shown in the diagram below.
• What is the length, in feet, of k?
Answer is 5
Constructed Response #5• Devon designed a sign for his company. The sign is in the shape
of a triangle with side lengths of 7 feet, 9 feet, and 15 feet.
• a. Explain how you know that Devon’s sign is not a right triangle.
• b. Devon wants to redesign the sign so that it is a right triangle with a hypotenuse of 15 feet. Describe the changes that Devon could make to either or both of the other two sides of the sign.
• c. Devon wants to design a second sign that is a right triangle with a hypotenuse of 39 feet and a leg of 15 feet. What should be the length, in feet, of the other leg of Devon’s second sign?
Multiple Choice #1• Drew has a sticker in the shape of a quadrilateral with exactly
2 right angles, exactly 1 pair of parallel sides, and no sides that are the same length.
What is the shape of Drew’s sticker?
• A Rhombus• B Trapezoid • C Rectangle• D Parallelogram• E Square
Answer is B
Multiple Choice #2
• Which of the following statements about quadrilaterals is always true?
• A All parallelograms are similar.• B All squares are rhombuses. • C All rectangles are congruent.• D All trapezoids are parallelograms• E All rectangles are squares.
Answer is B
Multiple Choice #3• Which of these statements about triangles is not true?
• A An isosceles triangle can also be a right triangle.• B An acute triangle can also be an equilateral triangle.• C A right triangle can also be an obtuse triangle. • D An obtuse triangle can also be an isosceles triangle.• E An acute triangle can also be an scalene triangle.
Answer is C
ANSWER
• Area of Circle – Area of Rectangle• A = ∏r² - lw• A = (3.14)(5)² - (6)(8)• A = 78.5 - 48• A = 30.5 cm²
6 cm
8 cm
ANSWER
• SQUARE ABCD has side lengths of 9.
• Area of Square – Area of Triangle• A = lw - ½bh• A = (9)(9) - ½(9)(6)• A = 81 – 27• A = 54 cm²
6 cm