Please plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted.

Transcription

1 Please plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted. Name: Geometry CC Regents Review #11 Part I: Answer all questions in this part. Each correct answer with supporting work/explanation is worth 2 points. Use the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale. For each statement or question, choose the word or expression that, of those given, best completes the statement or answers the question. 1.) Parallelogram HAND is drawn below with diagonals and intersecting at S. Which statement is always true? 1) 2) 3) 4) 2.) Triangle ABC and triangle DEF are graphed on the set of axes below. Which sequence of transformations maps triangle ABC onto triangle DEF? 1) a reflection over the x-axis followed by a reflection over the y-axis 2) a 180 rotation about the origin followed by a reflection over the line 3) a 90 clockwise rotation about the origin followed by a reflection over the y-axis 4) a translation 8 units to the right and 1 unit up followed by a 90 counterclockwise rotation about the origin 3.) A 20-foot support post leans against a wall, making a 70 angle with the ground. To the nearest tenth of a foot, how far up the wall will the support post reach? 1) 6.8 3) ) 6.9 4) 18.8 Grade based on work written for question(s) # Score: /

2 4.) Quadrilateral ABCD has diagonals and. Which information is not sufficient to prove ABCD is a parallelogram? 1) and bisect each other. 3) and 2) and 4) and 5.) In shown below, side is extended to point D with,, and. What is? 1) 20º 2) 40º 3) 60º 4) 80º 6.) In, where is a right angle,. What is? 1) 3) 2) 4) 7.) In the diagram below, a sequence of rigid motions maps ABCD onto JKLM. If,, and, the measure of is 1) 53 2) 82 3) 104 4) 121

3 8.) Quadrilateral ABCD with diagonals and is shown in the diagram below. Which information is not enough to prove ABCD is a parallelogram? 1) and 3) and 2) and 4) and 9.) In the diagram of right triangle ABC, intersects hypotenuse at D. If and, which length of makes? 1) 3) 2) 4) 10.) In the diagram below of parallelogram ROCK, is 70 and is 65. What is? 1) 45º 3) 115º 2) 110º 4) 135º 11.) In triangle CHR, O is on, and D is on so that. If,, and, what is the length of? 1) 3) 11 2) 4) 15

4 Part II: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts etc. Each correct answer with supporting work/explanation is worth 2 points. Use the information provided for each question to determine our answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part a correct numerical answer with no work shown will receive no credit. 12.) In right triangle ABC with the right angle at C, and. Determine and state the value of x. Explain your answer. 13.) Triangle ABC and triangle ADE are graphed on the set of axes below. Describe a transformation that maps triangle ABC onto triangle ADE. Explain why this transformation makes triangle ADE similar to triangle ABC. 14.) Sue believes that the two cylinders shown in the diagram below have equal volumes. Is Sue correct? Explain why

5 Part III: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts etc. Each correct answer with supporting work/explanation is worth 4 points. Use the information provided for each question to determine our answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part a correct numerical answer with no work shown will receive no credit. 15.) Given: Rhombus ABCD, diagonal extended through C to E,, and Prove:. 16.) In the accompanying diagram of, W is a point on and G is a point on such that //, =, = 1, = +5 and =2 +6. Find the length of

6 Part IV: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts etc. Each correct answer with supporting work/explanation is worth 6 points. Use the information provided for each question to determine our answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part a correct numerical answer with no work shown will receive no credit. 17.) Given: Rectangle ABCD,,,, and. Prove: a. b.