Analytic geometry

There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ————————————————- Top of Form Question 1 (Multiple Choice Worth 2 points) What is the measure of the third angle? 30. 5 55 35 149. 5 Question 2 (Multiple Choice Worth 2 points) What are two qualities that make an equilateral triangle unique? Three congruent sides and three congruent angles Three noncongruent sides and three congruent angles Three noncongruent sides and two congruent angles

Two congruent sides and three noncongruent angles Question 3 (Multiple Choice Worth 3 points) What is the value of G? 37 14 83 97 Question 4 (Multiple Choice Worth 2 points) A triangle has the following measurements. What is a possible length for the third side? GH = 19, HJ = 8, JG = ? 17 27 6 11 Question 5 (Multiple Choice Worth 3 points) What is the most accurate name for the triangle? right acute isosceles obtuse scalene equilateral Question 6 (Multiple Choice Worth 3 points) Which triangle always has at least two congruent sides? obtuse equiangular right acute scalene isosceles

Question 7 (Multiple Choice Worth 2 points) What is the m? ADC? 57. 5 65 115 90 Question 8 (Multiple Choice Worth 3 points) If m? BDC = 125, what is the m? ABD? 70 55 115 60 NOT SURE IF YOU CAN DO THIS ONE. IF YOU CAN TRY. I HVE NO UNDERSTANDING OF THE BELOW. 1. Draw a line segment and copy it to the right of the original segment. Explain your steps and justify each step used. 2. Bisect the original line segment from problem one. 3. Draw an angle and copy it to the right of the original angle. Explain your steps and justify each step used. 4. Bisect the original angle from problem three. 05. 04 Coordinate Geometry

Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ————————————————- Top of Form Question 1 (Multiple Choice Worth 4 points) (05. 04) The following set of coordinates represents which figure? (-5, 3), (-2, 5), (2, 4), (-4, 0) kite parallelogram rectangle trapezoid Question 2 (Multiple Choice Worth 4 points) (05. 04) If quadrilateral JKLM is a kite, what is the ordered pair of its missing vertex? (-2, -1) (-2, 2) (-4, -1) (-4, 2) Question 3 (Multiple Choice Worth 4 points) 05. 04) If quadrilateral FGHI is an isosceles trapezoid, what is the ordered pair of its missing vertex? (10, 4) (7, 4) (8, 4) (11, 4) Question 4 (Multiple Choice Worth 4 points) (05. 04) If quadrilateral BDMZ is a rhombus, which of the following ordered pairs could be a vertex? (1, -1) (2, 3) (1, 3) (2, 2) Question 5 (Multiple Choice Worth 4 points) (05. 04) Quadrilateral ABCD has coordinates (3, 5), (5, 2), (8, 4), (6, 7). Quadrilateral ABCD is a rectangle because its length is units, its width is units, and adjacent sides are perpendicular trapezoid because it has only one pair of parallel sides quare because its length and width are both units and adjacent sides are perpendicular rhombus because its length and width are both units and adjacent sides are not perpendicular Bottom of Form 06. 02 Translations and Reflections Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ————————————————- Top of Form Question 1 (Multiple Choice Worth 2 points) Pentagon PQRST and its reflection, pentagon P’Q’R’S’T’, are shown in the coordinate plane below.

What is the line of reflection between pentagons PQRST and P’Q’R’S’T’? y = x y = 0 x = 1 x = 0 Question 2 (Multiple Choice Worth 2 points) Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below. Which two transformations are applied to pentagon ABCDE to create A’B’C’D’E’? translated according to the rule (x, y) > (x + 7, y + 1) and reflected across the x-axis translated according to the rule (x, y) > (x + 1, y + 7) and reflected across the axis translated according to the rule (x, y) > (x + 7, y + 1) and reflected across the y-axis translated according to the ule (x, y) > (x + 1, y + 7) and reflected across the y-axis Question 3 (Fill-In-The-Blank Worth 2 points) Trapezoid TUVW is shown on the coordinate plane below. If trapezoid T’U’V’W’ represents trapezoid TUVW reflected over the y-axis, the ordered pair of W’ is ___________. (Note: You must include parentheses and a comma when typing the ordered pair. ) Answer for Blank 1: Question 4 (Multiple Choice Worth 2 points) Quadrilateral LMNO is shown on the coordinate plane below. If quadrilateral L’M’N’O’ represents the reflection of quadrilateral LMNO across the line y = x, which point is at the ordered pair (3, 2)?

N’ O’ M’ L’ Question 5 (Multiple Choice Worth 2 points) Triangle XYZ is shown on the coordinate plane below. If triangle XYZ is reflected across the line y = 1 to create triangle X’Y’Z’, what is the ordered pair of X’? (-4, 5) (-2, 5) (4, -3) (4, -5) Question 6 (Multiple Choice Worth 2 points) Triangle ABC is translated on the coordinate plane below to create triangle A’B’C’. If parallelogram EFGH is translated according to the same rule that translated triangle ABC, what is the ordered pair of point H’? (-3, -3) (4, 9) (7, 6) (0, -5) Question 7 (Multiple Choice Worth 2 points)

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D’E’F’G’H’I’. Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’? (x, y);(x – 9, y – 3) (x, y);(x – 3, y – 9) (x, y);(x + 3, y + 3) (x, y);(x + 9, y + 9) Question 8 (Multiple Choice Worth 2 points) Trapezoid JKLM is shown on the coordinate plane below. If trapezoid JKLM is translated according to the rule (x, y) ; (x + 2, y – 6), what are the coordinates of point L’? (1, -4) (-4, -1) (-7, 4) (0, 7) Question 9 (Multiple Choice Worth 2 points) A city grid of Anytown, USA is shown on the grid below.

The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department’s property must be congruent to the older department. Vertices A and B are plotted on the grid to represent two vertices of the new fire department quadrilateral ABCD. What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department? C(1, 1), D(4, 1) C(1, 6), D(4, 6) C(1, 2), D(4, 2) C(1, 4), D(4, 4)

Question 10 (Multiple Choice Worth 2 points) Jared is flying a kite in the park. It is reflected in the surface of a nearby pond. Jared’s kite, labeled JKLM, is graphed on the coordinate plane below. If kite J’K’L’M’ represents the reflection of kite JKLM over the x-axis, what is the ordered pair of point J’? (-5, -2) (5, 7) (-5, -7) (7, -5) Bottom of Form 06. 04 Rotations Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ————————————————-

Top of Form Question 1 (Multiple Choice Worth 4 points) Pentagon ABCDE is shown on the coordinate plane below. If pentagon ABCDE is rotated 180° around the origin to create pentagon A’B’C’D’E’, what is the ordered pair of point D’? (-1, 2) (2, 1) (1, -2) (-2, -1) Question 2 (Fill-In-The-Blank Worth 3 points) Use the figure shown below to answer the question that follows. What is the order of rotation of this figure? Numerical Answers Expected! Answer for Blank 1: Question 3 (Fill-In-The-Blank Worth 3 points) What is the angle of rotation for a regular octagon? Note: Be sure to type out the word degrees, instead of the symbol. ) Answer for Blank 1: Question 4 (Multiple Choice Worth 3 points) How many total lines of symmetry may be found in the image below? 16 8 12 4 Question 5 (Multiple Choice Worth 4 points) Parallelogram JKLM is shown on the coordinate plane below. If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in the image parallelogram? K’(-4, -6); L’(3, -3) K’(-6, -4); L’(-3, -3) K’(6, 4); L’(3, 3) K’(-4, 6); L’(-3, -3) Question 6 (Multiple Choice Worth 3 points)

Triangles DEF and D’E’F’ are shown on the coordinate plane below. What rotation was applied to triangle DEF to create triangle D’E’F’? none of the above 90° counterclockwise 180° 90° clockwise Bottom of Form THIS IS ANOTHER ONE. NOT SURE IF YOU ARE ABLE TO MAKE THESE LINES OR COME CLOSE. AGAIN THIS IS FOR A HIGH SCHOOLER SO IT DOESN’T HAVE TO BE PERFECT. Now that you know how to construct, it’s time to create your own constructions. Complete the tasks below. 1. Using a compass and straightedge, construct parallel lines. 2. Construct parallel lines using GeoGebra or another construction program. . Using a compass and straightedge, construct perpendicular lines. 4. Construct perpendicular lines using GeoGebra or another construction program. 07. 03 Lateral and Surface Area Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ————————————————- Top of Form Question 1 (Multiple Choice Worth 2 points) What is the lateral area of a rectangular prism if the base edges are 6 meters and 4 meters and the height is 7 meters? 140 m2 4 m2 24 m2 122 m2 Question 2 (Multiple Choice Worth 4 points) The height of an equilateral rectangular prism increases by four units. The new lateral area is more than the original by how much? four more than the perimeter of the base four times the the area of the base four times the perimeter of the base four more than the area of the base Question 3 (Multiple Choice Worth 3 points) A square pyramid has a slant height of 17 inches and a height of 15 inches. What is its surface area if the square base has sides of length 16 inches? 224 in2 480 in2 800 in2 864 in2

Question 4 (Multiple Choice Worth 2 points) What is the lateral area of a triangular prism with base edges all equaling 4 feet and a height of 10 feet? 160 ft2 180 ft2 140 ft2 120 ft2 Question 5 (Multiple Choice Worth 3 points) A prism has a right triangle as its base with a hypotenuse that measures 5 meters and legs that measure 3 meters and 4 meters. What is the surface area of this prism if the height of the prism is 6 meters? 102 m2 96 m2 78 m2 84 m2 Question 6 (Multiple Choice Worth 2 points) Which of the following is a situation where finding the lateral area would be appropriate?

Determining how many bricks are needed to build a pyramid with a brick floor. Determining how much water is needed to fill a rectangular tank. Determining how much stucco is needed to stucco the walls and roof of a building. Determining how much paint is needed to paint the walls of your bedroom. Question 7 (Multiple Choice Worth 4 points) Observe the composite figure below. The bottom shape is a cube with base edges of 6 inches. The top shape is a right pyramid with a height of 4 inches. What is the surface area of this composite figure? 180 in2 60 in2 240 in2 36 in2 Bottom of Form

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