University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

279

Pages:

32
Author:

Jaylin Huff

GEOMETRY Practice Questions for the State Test 1. What is the area of the isosceles trapezoid shown? Diagram of an isosceles trapezoid with: Base 1 (b1) = 9 cm Base 2 (b2) = 4.5 cm Height (h) = 6 cm (A) 27 cm² (B) 33.8 cm² (C) 40.5 cm² (circled) (D) 54 cm² Area of Trapezoid = 1/2 * h * (b1 + b2) A = 1/2 * 6 * (9 + 4.5) A = 3 * 13.5 A = 40.5 cm² Noah wants to make the kite shown below out of cloth. [Diagram of a kite shape with dimensions: 42.7 cm, 22.5 cm, 16.3 cm, 16.3 cm] He wants to determine how much cloth he needs. What is the area, rounded to the nearest square centimeter, of Noah's kite? (A) 531 (B) 1,063 (C) 1,430 (D) 2,126 Split into 2 triangles Left Δ A = ½ * b * h A = ½ * (32.6) * 42.7 A = 696.01 Right Δ A = ½ * b * h A = ½ * (32.6) * 22.5 A = 366.75 Add the areas of the left and right triangles together: 696.01 + 366.75 = 1062.76 Round up to 1,063 3. The base of a right rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume, in cubic centimeters, of the right rectangular prism? (A) 182.6 (B) 781.2 (C) 1,406.1 (D) 1,562.4 Volume = Area of Base * h V = 173.6 * 9 V = 1,562.4 cm³ 15. The net of a rectangular prism is shown below. The surface area of each face is labeled. net of a rectangular prism with the surface area of each face labeled. The dimensions of each face are also indicated. 12 sq. cm 3 4 24 sq. cm 18 sq. cm 4 12 sq. cm 3 4 18 sq. cm 4 3 Which values represent the dimensions, in centimeters, of the rectangular prism? (A) 12, 18, 24 (B) 3, 4, 8 (C) 3, 4, 6 (D) 2, 9, 12