Area of Triangles and Parallelograms — Cumulative exam Answers

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments?

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

The triangles are congruent by the SSS congruence theorem.

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

The box plots show the distributions of weights of cucumbers and zucchini collected from a garden. Which statement explains the best measure of variability to use to compare the data sets?

Mr. Walker is looking at the fundraiser totals for the last five years.

Which quadrilateral will always have 4-fold reflectional symmetry?

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5.The following functions represent the rate structures of the two rental companies:x = the number of weeks Company Af(x) = 15(7x)Company Bg(x) = 100x + 5The function h(x) = f(x) – g(x) represents the difference between the two rate structures.Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply.If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B.If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.If Marguerite rents for 1 week, it will cost her the same at either company.If Marguerite rents for 1 week, it will cost her more if she rents from Company A.h(x) = 5x – 5h(x) = 5x + 5

The graph of which function has an axis of symmetry at x = ?

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y Z W.

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.