Jim is building a deck for his family to enjoy. Because of a big bay window that juts out next to the deck, he has to build an angled section for the steps going down to the yard. The section will be a parallelogram. Assuming that he cannot accurately prove that any two sides are parallel, how can he be assured that he has an actual parallelogram? Identify the theorem that he will use and how he will use it.

Angela needs to draw perpendicular bisectors. At what points would she mark on each side of this triangle? 7 ft 12 ft 14 ft O 7 ft, 3.5 ft, 6 ft O 7 ft, 4.5 ft, 6 ft O 14 ft, 7 ft, 12 ft O 7 ft, 4 ft, 6 ft search F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 23 2$ & 3 6 7 8 W E R Y P S D F G H J K L 4.

A billboard at ground level has a support length of 26 feet that extends from the top of the billboard to the ground. A post that is 5 feet tall is attached to the support and is 4 feet from where the base of the support is attached to the ground. In the figure shown, the distance, in feet, from the base of the billboard to the base of the support is labeled z. billboard 26 post Assuming the post and bill board are parallel to each other (and perpendicular to the ground) we can prove the smaller triangle is similar to the larger triangle by [ Select ] Using the given information along with pythagorean theorem and proportions, x = [ Select ]

ABCD is a quadrilateral with AB = ỉ, CD = 2ỷ, and AC = 33 – ỷ. Express BD and BC in terms of x and ý.

1) Prove that the polygon with coordinates A (4, -1), B (5, 6), and C (1, 3) is an isosceles right triangle. a. Graph the figure b. Calculate the distances of all three sides showing ALL algebra steps and work c. Use the slope formula to prove that the two legs are perpendicular. Show ALL algebra steps and work. d. Using complete sentences, explain your findings to prove or disprove the problem. Findings: