2D Geometry Questions and Answers

Q4 use the following graph to answer a Is f x one to one b The domain of f x c y intercept Show Transcribed Text Graph f x 3 4 O

U 8 Circle measurements mixed review TFF The radius of a circle is 8 centimeters What is the length of a 135 arc Give the exact answer in simplest form A 010 centimeters

The circumference of a circle is 187 miles What is the radius C 187 mi Give the exact answer in simplest form miles

14 Given the following b 80 and e 30 what does the value of a have to be O O O O 30 50 70 80 O O O P e a b 1 point Imagine a pair of same side interior angles On angle is 12 more than 5 times the smaller angle What are the measurements of the larger angle 152 165 132

1 point Which image show a pair of angles that will prove a b O O B A B C B 110 60 D C 110 110 C C 70 D 70 110 60

D What value for x is going to make m n Type your answer m 115 1 point What value for x will prove that m n x 3 1 0 8x 3

Given that m n and 22 2a 20 and 26 4a 16 what is the measure of 27 OOOO 124 108 18 56 1 4 2 5 3 8 7 line 1 Transversal line 2

Given m n find the 135 t o m n

1 point Which transformation would take place from figure A to B 10 9 8 7 B 6 5 4 3 2 Y 10 9 8 7 6 1 5 4 3 2 1 1 2 J W 6 7 8 9 10 1 2 3 4 A clockwise rotation of 270 degrees about the origin A clockwise rotation of 90 degrees about the origin A reflection over the x axis A reflection over the y axis 5 6 7 8 9 10 x 1 point Find the distance between the two points rounding to the nearest tenth if necessary 8 1 and 4 5

Look at the graph below nd find the angle measure with the given information Figure 1 Given wv m 9 80 m 5 68 Identify the other angle measures 12 43 56 87 W 9 10 12 11 P 13 14 16 15 1 TV 9 10 11 1 point 212 Type your answer 1 point 21 Type your answer 1 point Z4 Type your answer 1 point

6 1 point Given m n find the value for x Type your answer 1 point Given m n find the value for 7x 1 8x 14 2x 26 7x 8

00 2 3 4 22 23 24 25 26 5 6 27 48 7 8 2 3 4 41 22 1 point Look at the following graph Select all the angles that are congruent to 27 5 6 l 7 8 m l m

A farmer wishes to enclose two identical rectangular plots of land each having an area of 1200 m as shown The outer boundary requires a taller fence that costs 6 per linear metre The shorter partition fence dotted line between the two plots costs 4 per linear metre If 10 m x 40 m determine the minimum cost for the farmer to fence the boundary and the partition Round your answer to the nearest dollar 1x

omplete the table by solving the parallelogram shown in the figure The lengths of the diagonals are given by c and d Round your answers to two decimal places a a X 0 b 24 b d C 52 d 37 68 70 0 111 28 9

The following problem refers to triangle ABC find all missing parts Round degrees to 1 decimal place and sides to the nearest whole number A 80 6 B 54 3 b 255inches A 43 B a b C O 0 inches inches inches

Find the third side to the following non right triangle there are two possible answers Round to the nearest foot A 37 a 50ft b 51ft C ft ft

1 Complete the given proof 3pts Given TRVR S is the midpoint of TV Prove ASRT ASRV T R S Statements 1 TR VR 2 S is the midpoint of TV 3 TS VS 4 SR SR 5 ASRTASRV Reasons 1 Given 2 Given 3 4 5

Find the coordinates of the midpoint of a segment with the given endpoints. 19. (5, 11), (3, 1) 20. (7,-5), (3, 3) 21. (-8, -11), (2, 5)

A cross section of a right triangle prism is created by a plane cut through the points shown and is also perpendicular to opposite base. What is the most specific name of the shape representing the cross section? Parallelogram Trapezoid Triangle Rectangle

Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t. Which sequence of transformations did Felipe use? Translate Circle J by (x-a, y-b) and dilate by a factor of s/t Translate Circle J by (x+a, y+b) and dilate by a factor of t/s Translate Circle J by (x-a, y-b) and dilate by a factor of t/s Translate Circle J by (x+a, y+b) and dilate by a factor of s/t

Answer true or false. If false, tell why. a) The bases of a pyramid lie in parallel planes. h) The lateral sides of a prism are triangles.

Plot the circles x² + y² = 4 and x² + y² = 1 on the same coordinate plane.

Find the equation of the following parabola y²-6y+7=2x (y + 3)² = 2(x + 1) (y - 3)² = 2(x + 1) (x + 3)² = 2(y + 1) (y - 3)² = x + 2

Coordinate Geometry: Question 5 What is the slope of a line that is parallel to the graph of 5x + 2y = 2? 5/2 -5/2 -2/5 2/5

8] The center of a circle is (-3,0) and its radius is 5. Which point does not lie on the circle? A] (2,0) B] (0,4) C] (-3,0) D] (-3,-5)

Suppose you want to draw a quadrilateral whose sides measure 6 cm, 4 cm, 2 cm and 7 cm. Which of the following sentences best describes the types of quadrilaterals you could draw? There's only one quadrilateral that I could draw that fits this description. I could draw only 2 or 3 quadrilaterals that fit this description. I could draw many quadrilaterals that fit this description. I could not draw a quadrilateral that fits this description.

What is the slope of a line that is parallel to the graph of 4x + 3y = 1? -3/4 -4/3 4/3 3/4

Which equation represents the line that is parallel to 5x + y = 13 and passes through the point (15, - 31)? y = -5x + 44 y = 5x - 106 y = -5x - 140 y = 5x + 170

What are the center and radius of a circle whose equation, in general form, is x² - 2x + y² + 2y - 23 = 0? center: (1, -1) radius: 5 center: (1, -1) radius: √23 center: (-1, 1) radius: 5 center: (-2, 2) radius: 25

What is the equation of the line passing through (-5, - 3) and perpendicular to the line representing the equation y=-(5/7)x+2 y=(7/5)x+4 y=(-7/5)x-10 y=(-5/7)x-46/7 y=(5/7)x+4/7

What is the best approximation of the volume, in cubic units, of a sphere of diameter 12? 1436.8 7238.2 3053.6 904.8

What is the best approximation of the volume, in cubic units, of a cone of diameter 20 and height 13? 1361.4 5445.4 898.4 3668.4

Regular polygon ABCDE is graphed on the coordinate plane. The polygon has points C(3, 7) and D(3, -1). What is the perimeter of ABCDE? A) 28 units B) 32 units C) 40 units D) 48 units

Does the point (2√3,2) lie on the circle that is centered at the origin and contains the point (0, -4)? Why?

What is the center of a circle whose equation, in standard form, is (x-3)² + (y-1)² = 16 center: (3, 1) center: (-3,-1) center: (1, 3) center: (-3, 1)

Prove that in the hyperbolic plane, given a positive integer n there exist n + 1 lines such that each set of n of the lines is in a half-plane of the remaining line.

Mr. Grzywacz's moving company, Two Grizz and a Truck, is deciding between two different sized boxes that are shaped like cubes. The first box is 7 feet long and the second box is 9 feet long. If it costs $0.15 per square foot of material to create each box, how much more money would be spent to create the larger box?

Mrs. Snyder received a baby shower gift that came in a beautifully wrapped gift box. The box was 12 inches long, 11 inches wide, and 3 inches tall How much wrapping paper was used to cover the gift? 402 in² 8 of 10 577 in² 270 in² 235 in²

Which condition justifies why all squares are similar? All squares have four 90° angles. All squares have congruent angles and sides. Corresponding angles are congruent, and they each have two diagonals. Corresponding angles are congruent and all sides are proportional.

Decide whether each statement is true or false. If a statement is true, say which of Euclid's five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in "if-then" form). If it is false, give a counterexample or explain why. a. A triangle can be drawn from any three points that are not on the same line. b. A square can be drawn from any four points not on the same line. c. When two lines intersect, the four angles they make add to 360 degrees. d. There is only one parallel line to any given line.

A triangle has sides of length 5 cm and 6 cm. What can you say about the length of the third side? Choose the correct answer below. A. A third side cannot be found to complete this triangle. B. The side is shorter than 11 cm but not necessarily longer than 1 cm. C. The side is longer than 5 cm and shorter than 6 cm. D. The side is longer than 5 cm but not necessarily shorter than 6 cm. E. The side is longer than 1 cm and shorter than 11 cm. F. The side is shorter than 6 cm but not necessarily longer than 5 cm, G. The side is longer than 1 cm but not necessarily shorter than 11 cm. H. No conclusion can be made about the other side

Definition: Two n x n matrices A and B are said to be similar if there exists an invertible n x n matrix P such that A = PBP-¹. Let A, B and C be arbitrary n x n matrices. If A and B are similar and B and C are similar, prove that A and C are also similar. In your proof, you must explicitly state any properties or theorems you have used.

The following equation is an equation of an ellipse, find the radii of this ellipse. 7x1²-8 x1 x2 + 13x₂² = 1. Answer: Note: Enter the radii as a maple list [a, b], use sqrt to enter square roots, i.e., to enter 1/√2 type

Graph the expression on each side of the equals symbol to determine whether the equation might be an identity. (cscθ+ cot θ) (1 - cos θ) = sin θ It is not an identity. It is an identity.

Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r = 24.09 cm, θ=10/9π radians A. 168.2 cm B. 42.1 cm C. 84.1 cm D. 26.8 cm

The height of a high tide is 12 m, and the height of the low tide is 2 m. If high tide occurs at 10 am, and then again at 4 pm. Find an equation that models the height of tide (m) with respect to time, where t=0 is 12 midnight.

Find the circumference and area of a circle with the radius 3.5 feet. Use 22/7 for T.

Medical insurance status-covered (C) or not covered (N)-is determined for each individual arriving for treatment at a hospital's emergency room. Consider the chance experiment in which this determination is made for two randomly selected patients. The simple events for this chance experiment are O₁ = (C, C), meaning that the first patient selected was covered and the second patient selected was also covered, O₂ = (C, N), O₁ = (N, C), and O₁ = (N, N). Suppose that probabilities are P(O₂) = 0.81, P(O₂) = 0.09, P(O3) = 0.09, and P(0₁)=0.01. b. Define B as the event that the two patients have the same coverage status. i. What simple events are in the event B? ii. Calculate P(B).

The line has an equation of y=2x intersects the curve y²=8x, Determine the centroid of the area from the x-axis. A. 5 B. 4 C. 2 D. 3

Identify the vertex and the y-intercept of the graph of the function. y=-0.25(x-4)²-2 1. vertex, (-4, 0); y-intercept, -6 2. vertex, (2,-4); y-intercept; -6 3. vertex, (-2, 4); y-intercept, -6 4. vertex, (4,-2); y-intercept, -6