Unit Test — Unit test Answers

Julia uses the shadow of the flagpole to estimate its height. She stands so that the tip of her shadow coincides with the tip of the flagpole?s shadow as shown. Julia is 5 feet tall. The distance from the flagpole to Julia is 28 feet and the distance between the tip of the shadows and Julia is 7 feet. Calculate the height of the flagpole. The diagram is not drawn to scale.

In the sunlight, a cactus casts a 9 ft shadow. At the same time an oversized groundhog 6 ft tall casts a 4 ft shadow. Use similar triangles to find the height of the cactus.

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation . What is the height of the ball at its equilibrium?

Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.

A regular polygon first maps directly onto itself after rotating 22.5 degrees. How many sides does the polygon have?

The graph shows quadrilateral FGHI and the location of vertex F' after a dilation with respect to the origin.

A transformation is applied to the smaller triangle, A, to form the larger triangle, B.

three

If triangle ABC is reflected over the x-axis, triangle A'B'C' will be created.

Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-image?

Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm3.What is the volume of the larger cylinder?

The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation , where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. Which equation also models this situation?

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A?

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.What is the lateral area of the smaller cylinder?

A triangle in which one angle measures more than 90 degrees is called?