Question 1 (5 points)

Identify the statement given below.

Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

Question 1 options:

	Angle-Angle Similarity Postulate
	Polygon Congruence Postulate
	Polygon Similarity Postulate
	Side-Side-Side Similarity Theorem
	Side-Angle-Side Similarity Theorem

Question 2 (5 points) Which of the following postulates and theorems can be used to prove triangle similarity? (Select all that apply.) ASA SAS HL SSA AA O AAS SSSQuestion 3 (5 points) V Saved Triangle ABC is similar to triangle FGH. Given the following angle measures, find the missing angle measures. mZA = 32 degrees mZB = 46 degrees Enter your answers as numbers only. mZF = degrees A/ mz G =_ ____ degrees A/ mcH = degrees A/ m z C =_ _ _ degreesQuestion 4 (5 points) Saved W S X T U R In the figure, triangle UVW is similar to triangle RST, VU=48, VW=38, and SR=24. What is the value of x? Show all your work.Question 5 (5 points) Saved tree shadow person shadow In the figure, the person is 6 ft tall and his shadow is 5 ft long. The tree's shadow is 11 ft long. What is the height of the tree? Show all your work. Iy \\YA_Y_} x y Flagpole a and flagpole are both casting a shadow that ends at point s. The distance (x) between the flagpoles is 14 ft. The distance (y) from flagpole to point s is 10 ft. The height of flagpole a is 13.2 ft. What is the height of flagpole ? Show all your work. Question 7 (5 points) mmllilmm\" 000 , E __l_ mIEDr4 ~\"d A student is walking to school and sees a mirror on the ground. She stops a short distance from the mirror to practice her Geometry. She knows her own height and the height of the school. She also knows the distance from the mirror to the school from a previous Geometry activity. She would like to calculate the distance she is standing from the mirror. 50 ft The height of the school is 30 ft. The distance from the school to the mirror is 50 ft. The height of the student is 4.8 ft. What is the distance d between the student and the mirror. Show all your work. Question 8 (5 points) Given the following segment lengths, find the length of segment AB. AC =22 mm EC =44 mm ED =11 mm Show all your work. Question 9 (5 points) In the diagram, segment AD bisects angle BAC. Given the following segment lengths, find the value of x. Round to the nearest tenth. AB =23 AC=18 Show all your work. Question 10 (5 points) Provide the missing reasons for the proof. Given: ZC ~ LE Prove: AABC~ADBE A D B E C Statement Reason 1. ZC ~ LE 1. 2. ZABC ~ LDBE 2. 3. AABC ~ ADBE 3