The triangle AABC is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let c2 be circle passing through vertex B and point D, intersecting side BC and the circle cı in points F and T, respectively. Provē the quadrilateral CETF is cyclic. Explain in detail.

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Illustrate all the symmetries of an isosceles triangle ABC with angle C as the vertex angle.…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: b. CON (2) and C is the positively oriented circle -

A:

Q: An incidence geometry with no parallel lines is called a projective geometry. Give an example of a…

A: Given that: An incidence geometry with no parallel lines is called projective geometry. To find:…

Q: An inscribed circle can be drawn with the center of the circle being point X

A:

Q: 3. Decide if Ks is planar. If so, give a planar drawing; if not, explain why not.

A:

Q: a If you moved Triangle 1 onto Triangle 2, which vertices would match?

A:

Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: 2. In every Pythagorean triangle, prove that at least one of the sides is divisible by 5.

A: The given problem is to prove that in the Pythagorean triangle there is atleast one of the sides is…

Q: The vertices of AWIN are W(2, 1), I(4, 7), and N(8, 3). Using coordinate geometry, show AWIN is an…

A:

Q: 6. 10

A:

Q: 1 Find the length of the line segment AB.

A: Given cube with side length 1 is,

Q: 4. Points A(xA , YA), B(xB,YB), and C(xc,Yc) form a triangle AABC. Let D, E, and F be midpoints of…

A: Using coordinate system we can prove two triangles are similar using distance formula. If length of…

Q: 26) By which rule are these triangles congruent? A AAS B) ASA SAS D) SSS

A: Option B

Q: 2. Draw triangle ABC.with the following vertices: A(4, 7), B(5, 4), C(1, 2). Rotate the triangle…

A:

Q: 3) State with sketches the three types of triangles in geometry. Good luck

A: The three types of triangles are: Acute triangle Obtuse triangle Right triangle Note that the sum…

Q: Most ironing boards can be adjusted to different heights. One ironing board, with a design similar…

A: Let us solve the given problem in the next steps.

Q: Aregular pentagon is shown

A:

Q: 1) Classify a triangle with vertices A, B, and C where m<BAC = 120 and AB = AC. Include angle and…

A:

Q: a) Graph triangle ABC: A(-6,2), B(0,7), C(5,1). b) Reflect triangle ABC over y33. c) Submit new…

A: As per guidelines we can solve only first three sub parts of the question.

Q: Draw each figure on the chalkboard and describe all of its symmetries.8. isosceles triangle 9.…

A: 8. An isosceles triangle is defined as it is a triangle having two sides congruent. the figure of…

Q: The point A(given in the photo) is one of the vertices of a regular dodecagon inscribed in a circle…

A: Regular dodecagon has 12 equal edges. Internal angle at each vertex is 150∘.

Q: A. HL E HL

A: Given that: Isosceles triangle ABC, ∠ACB is the vertex angle , CM¯ ⊥AB¯ and M is the midpoint of AB¯…

Q: define Symmetry (of a geometric figure)?

A: Mathematically, symmetry means that one shape becomes exactly like another when you move it in some…