Multiple Choice. 3. The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.

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1 Accelerated Coordinate Algebra/Analtic Geometr answers the question. Page 1 of 5 Multiple Choice 1. The dashed triangle is an image of the solid triangle. What is the scale factor of the image?. The polgons are similar, but not necessaril drawn to scale. Find the values of and. =, = =, = 7 c. = 9, = d. = 9, = 7 c. d.. Michele wanted to measure the height of her school s flagpole. She placed a mirror on the ground feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her ees were 5 feet above the ground and she was 1 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.. Determine whether the figures are similar Not drawn to scale similar and congruent not similar c. similar onl d. not enough information ft. ft c. 55 ft d. 5 ft

2 Accelerated Coordinate Algebra/Analtic Geometr answers the question. Page of 5 5. Determine whether each pair of triangles is similar. Justif our answer.. Eplain wh the triangles are similar. Then find the value of. 6 es; b AA Similarit es; b AA Similarit c. es; b ASA Similarit d. No; there is not enough information to determine similarit. 6. Find the length of the altitude. The triangle is not drawn to scale. > > Not drawn to scale SSS Postulate; 5 1 AA Postulate; 1 1 c. SAS Postulate; 1 1 d. AA Postulate; c. 17 d The following triangles are similar. What is the ratio of the area of Triangle ABC to the area of Triangle DEF? 7. Use the Triangle Proportionalit Theorem to find, given that. A B 1 6 c. 0 d. P 1 Q 1 C 1: 1:16 c. :1 d. 16:1

3 Accelerated Coordinate Algebra/Analtic Geometr answers the question. Page of Justif the second step of the proof. Given: AB BD and ABC & DBC are right angles Prove: Δ ABC Δ DBC 1. Which statement is true? Statements Reason 1. AB BD 1. Given. ABC DBC... Refleive Propert of Congruence. Δ ABC Δ DBC. Vertical Angles are congruent CB CB c. Euclid s Perpendicular Postulate d. SAS are same-side angles. are same-side angles. c. are alternate interior angles. d. are alternate interior angles. 1. Find the values of and. The diagram is not to scale. 11. Suppl the missing reasons to complete the proof. Given: and Prove: P Q R T S = 77, = 59 = 77, = 57 c. = 57, = 77 d. = 1, = 57 1 ( ) ( + ) 1. The jewelr bo has the shape of a regular pentagon. It is packaged in a rectangular bo as shown here. The bo uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. 7 ASA; Substitution SAS; CPCTC c. AAS; CPCTC d. ASA; CPCTC 1 5 c. 6 d. 7

4 Accelerated Coordinate Algebra/Analtic Geometr answers the question. Page of The sum of the measures of two eterior angles of a triangle is 55. What is the measure of the third eterior angle? c. 105 d In the rhombus, Find the value of each variable. The diagram is not to scale. 16. Find. The diagram is not to scale = 15, = 165, z = 10 = 0, = 75, z = 10 c. = 15, = 75, z = 5 d. = 0, = 165, z = c. 6 d Based on the information given, can ou determine that the quadrilateral must be a parallelogram? Eplain. Given: and X Y A 19. Which graph shows a triangle and its reflection image in the -ais? N W Z c. d. No; ou cannot determine that the quadrilateral is a parallelogram. Yes; two opposite sides are both parallel and congruent. c. Yes; opposite sides are congruent. d. Yes; diagonals of a parallelogram bisect each other.

5 Accelerated Coordinate Algebra/Analtic Geometr answers the question. Page 5 of 5 0. Which diagram shows the construction of the perpendicular bisector of AB? 1. Constructed Response: complete the following proof. c. d.. Constructed Response: complete ALL parts of the questions below. ABC has vertices with the coordiantes A 7,9, B,, and C,. A. Draw and label ABC on the coordinate plane B. Draw, label and state the coordinates of A B C after the transformation that maps (,) to (, ). C. Based on our diagram, identif the tpe of transformation that was performed.

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