![]() Quadrilateral ABCD is inscribed in circle O, as shown below. What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x - 6y = 15?Ģ1. A parallelogram must be a rhombus if its diagonalsĢ0. As shown in the diagram below, ABC || EFG and BF ≅ EF. Segments XY and RS are drawn perpendicular to YR to form triangles XYZ and SRZ. In the diagram below, XS and YR intersect at Z. In circle M below, diameter AC, chords AB and BC, and radius MB are drawn. Which transformation would not carry a square onto itself?ġ6. The line whose equation is 3x - 5y = 4 is dilated by a scale factor 5/3 of centered at the origin. In the diagram of ABC below, DE is parallel to AB, CD = 15, AD = 9, and AB = 40. Geometry - January 2018 Regents - Questions and solutions 13 - 24ġ3. What are the coordinates of the center and the length of the radius of the circle? The equation of a circle is x 2 + y 2 - 6x + 2y = 6.Rectangle A’B’C’D’ is the image of rectangle ABCD after a dilation centered at point A by a scale factor of 2/3.Which three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis? In the diagram below, a quarter of circle O is graphed. In ABC shown below, side AC is extended to point D with m∠DAB = (180 - 3x)°, m∠B = (6x - 40)°, and m∠C = (x + 20)°.Under which transformation of PQR are distance and angle measure preserved? The vertices of PQR have coordinates P(2,3), Q(3,8), and R(7,3).What is the number of centimeters in the height of the waffle cone? An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 6.6 centimeters and a volume of 54.45π cubic centimeters.If B is a point on and AB:BC = 1:2, what are the coordinates of B? In the diagram below, has endpoints with coordinates A(-5,2) and C(4,-10).Which figure describes the two-dimensional cross section? A two-dimensional cross section that is perpendicular to the base is taken from the prism. A right hexagonal prism is shown below.If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man? A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram below.Which rigid motion would map ABC onto A’B’C’? The graph below shows two congruent triangles, ABC and A’B’C’.Parallelogram HAND is drawn below with diagonals HN and AD intersecting at S.In the diagram below, a sequence of rigid motions maps ABCD onto JKLM.Geometry - January 2018 Regents - Questions and solutions 1 - 12 Scroll down the page for the step by step solutions. The following are questions from the past paper Regents High School Geometry, January 2018 Exam (pdf). Geometry Common Core Regents New York State Exam - January 2018 The following are the worked solutions for the Geometry (Common Core) Regents High School Examination January 2018. Compute the area of quadrilateral (trapezium) ABCD?Ĭompute the area of the quadrilateral ABCD in the figure.High School Math based on the topics required for the Regents Exam conducted by NYSED. In the figure ABCD, AB parallel to CD and the distance between them is 8 cm. Draw an arc of radius 4 cm with centre B as centre and radius 4 cm and draw another arc with D as centre and radius 6 cm. In the circle (as shown in the picture) mark a point D and join AD. Draw a circle with centre A and radius 4 cm \(\frac\)ĭraw a parallelogram of sides 6 cm, 4 cm and area 18 cm 2.ĭraw a line AB of length 6 cm. The diagonals of the rhombus intersect at O and they bisect each other at right angles. Ii.The area of the small rhombus is 3 square centimetres. Prove that this quadrilateral is a rhombus. In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral: What is the area of the ground bounded by the rope? What is the distance between the other two corners? ![]() ![]() ![]() The distance between a pair of opposite corners is 16 metres. What is the area of the parallelogram?Īrea of parallelogram = one side × distance to the opposite sideĪ 68 centimetre long rope is used to make a rhombus on the ground. The area of the dark triangle in the figure is 5 square centimetres.
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