Question: Let ABCD be a trapezoid inscribed in a circle with AB and CDparallel. Let S be the centre of the circle and E the intersection

Let ABCD be a trapezoid inscribed in a circle with AB and CDparallel. Let S be the centre of the circle and E the intersection point of the diagonals AC and BD. Prove that ∠CEB = ∠CSB.

Step by Step Solution

★★★★★

3.51 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To prove CEB CSB we will use properties of cyclic quadrilaterals and some basic geometry concepts He... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Let ABCD be a square with AB = 1. Show that if we select five points in the interior of this square, there are at least two whose distance apart is less than 1 2.

Let ABCD be a quadrilateral inscribed in a circle. Prove that the line segments AB and CD are parallel if and only if the arc between A and D not containing B has the same length as the arc between B...

Let ABCD be a trapezoid, with AB parallel to CD, and lines BC, AD intersecting at a point O. Let P be the intersection point of the diagonals AC, BD. Prove that the line OP divides both segments AB,...

Trapezoid ABCD has parallel sides AB and CD, of lengths a and b respectively. Diagonals AC and BD intersect at E. Draw the line through E that is parallel to AB and CD, and let P and Q be its...

I just need clear solution how to the answer is correct, i will use it as my reviewer. CECC481 CE comprehensive course 1 The base diameter of a right circular cone is 16 cm. If the lateral area is...

Questions circled in red The problem is in the photo below 10:20 Of LTE 1. HU g. tangent segment 12.4 EXERCISE SET MyMathLab' Find the value of each variable. See Examples 1 and 2. 15. What is the...

Please answer all 24 of these geometry questions! Thanks! 1. (LI10) Euclid's 5th Postulate states the following: A. If there is a line / and a point P not on the line, then only one line m can run...

Assume the magnitude of the electric field on each face of the cube of edge L = 0.50 m in Fig. is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric...

From Elie Wiesel's point of view WHICH IS MORE IMPORTANT: FREEDOM OR SAFETY? WHY? night by elie wiesel after chapter 4 and 5

\fThecoordinatesoftheverticesofapolygonare(5, 1)(1, 3)(2, 3)(2, 2).and (3, 1). What is the perimeter of the polygon? Enter your answer as a decimal. rounded to the nearest tenth of a unit. in the...

The Acme Bus Company has a daily ridership of 18,000 passengers and charges $1.00 per ride. The company wants to raise the fare yet keep its revenue as large as possible. (The revenue is found by...

Coach Industries is considering a new investment project. The project will cost $100,000 and it will last 5 years. The project will have a salvage value of $10,000 at the end of its 5-year life....

What kind of investor is the most libely candidate to be denied access to the securities markets? Hepriskinvestors Certain kinds of francilitowers Avy and all individapl invertors Emphopes of the SIC...

a. Why are financial statements standardized? Explain at least two methods for standardizing financial statements. b. Using any Income statement and Statement of Financial Position of your choice...

On December 31, 2018, ABC Inc. issued 2,030 stock options with an estimated value of $16 per option. Each option entitles the owner to purchase one share of ABC stock for $25 a share (the per share...

Snow transferred land with a basis of $63,730 in exchange for Evil Queen stock valued at $89,920 in a qualifying $351 exchange. The land was subject to a $69,239 mortgage. What is the amount of gain...

2 . Movements along versus shifts of demand curves Consider the market demand for compact cars. Complete the following table by indicating whether an event will cause a movement along the demand...

Can you please complete the question below neatly on a paper 1. Two vectors it and # are acting from the point P. If jul = 8, (#| = 10 and lu + | = 14 then determine lu - vl. Include a diagram in...

. Let ABCD be the trapezoid below. You are given that DA = a, AB = 5, and DC = 25, as demonstrated in the diagram. The point E is the midpoint of AC, and the point F is the midpoint of BC. The...

TLDR= top left double riemann sum, BLDR= bottom left double riemann sum, TRDR= top right double riemann sum, BRDR= bottom right double riemann sum. Calculate the double riemann sums one by one. Thank...

Please Answer Review Questions 5 7. Let f(x) = ax' + bx' + cx+ 1 . Determine the values of a, b, and c so that f(x) has a point of inflection at x = 2, a local minimum at x = -2, and f(1) = 2. a = b...

Determine the most precise name for the quadrilateral. Then find its area. A(1,4), B(3,4), C(-4,-4), D(-6,-4) What is the most precise name for the quadrilateral ABCD? A. The quadrilateral ABCD is a...

prove it is a trapezoid. Quadrilateral ABCD Midpoint E (between A Choose... & B) = (-5, 1); Midpoint F (between C & D) = (3.5, 1) Midline EF = (BC + AD)/2 = 8.5 Midline EF = (BC + AD)/2 = 8.0...