Consider AXYZ (not shown). a) Which side is included by ZX and LY? b) Which angle is included by sides XY and YZ?

Q: Suppose that Tis a point on side PQ of APQR. Also, RT bisects ZPRQ, and ZP = 2Q. If Z1 and 2 are the…

A: Consider triangle PQR, As RT bisect angle R, ∠PRT=∠QRT Given that ∠P=∠Q ∠RTP=∠1∠RTQ=∠2

Q: It is ang angle whose vertex is the center of the circle? a. Central b. inscribed c. obtuse d. right…

A: We have to find the relation between central angle and arc

Q: If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an…

A: Given: In △XYZ YW→ bisects ∠XYZ and WX≅WZ, To prove: △XYZ is isosceles.

Q: Find that is cotefminalI with 0and aT 17TT 4. angle between

A: We can find the co-terminal angle as below.

Q: In Case 2-(Center of the circle within the angle), Theorem 42-(An angle inscribed in a circle is…

A: Consider the provided information and diagram,

Q: 24. Use the diagram to write the vertical angles theorem. Given: AC intersects BD at E. Prove: ZAED…

A:

Q: What is the sum of the exterior angle measures, one at each vertex, of a convex 17-gon?

A: The given polygon is convex 17-gon

Q: In triangle FIX, TT'is the perpendicular bisector of FX. Prove that the two triangles formed by the…

A:

Q: he measure of t

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The circumcenter is found at the intersection of the angle bisectors of the triangle. True or False?

A: All three angle bisectors of the angles of a triangle meet at a single point, called the incenter.…

Q: Prove: If the ray that bisects an angle of a triangle is perpendicular to the side that it…

A: To prove  if the ray that bisects an angle of a triangle is perpendicular to the side that it…

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM TM and RS is parallel to TU. Which…

A:

Q: The incenter of a triangle is a point where all angle bisectors of a triangle intersect. Point R is…

A:

Q: 7. Let ABCD be a trapezoid which is inscribed with a circle of center O. Calculate the measure of…

A: Given  let ABCD be a trapezoid which is inscribed with a circle of center O

Q: In concave kite ABCD, there is an interior angle at vertex B that is a reflex angle. Given that mZA…

A: To Determine: in concave kite ABCD ,there is an interior angle at vertex B that is a reflex…

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R. (x + 1) (3x…

A:

Q: 4. Classify the following triangle based on its angles. Scalene Acute O Right Obtuse

A: The figure of the triangle is given by :

Q: is 6, 8,10 make sides of a right angle triange?

A: Use pythagorous theorem to check.

Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: Given:

Q: Can you use the angle bisector theorem to solve for mZWYZ?

A: Given Data: The length of side XW is: XW=9 The length of side ZW is: ZW=9 The measure of angle XYW…

Q: Find the measure of angle ZB. Di .----

A: from the given figure, we have to find measure of angle B

Q: Find the angle of least positive measure(in degrees, not equal to the given measure) that is…

A:

Q: In triangle XYZ, ZA is the angle bisector of angle Z XA = 4, YA = 6, and YZ = 12. Find the %3D…

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Q: What additional point is on plane RST? O R

A: Topic:- geometry

Q: In the figure shown, suppose that ray CD bisects exterior angle ZACE of AABC. If mz1 = 70° and mz2 =…

A: Given figure is: Given that ray CD bisects exterior angle ∠ACE of △ABC, m∠1=70° and m∠2=30°. To…

Q: CONSTRUCT EQUILATERAL TRIANGLE UPON AB AS THE BASE. At

A: According to question given thatAB is the base of the equilateral triangle and we have to construct…

Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

A:

Q: The region interior to a central angle is called a __________.

A: Given: The region interior to a central angle is called a __________.

Q: In AHIJ, the measure of ZJ=90°, JI = 4, HJ = 3, and IH = 5. What %3D %3D ratio represents the…

A: Given :

Q: of

A:

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

A:

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. Enter

A: The answer is given below:

Q: Are the triangles congruent by the HL Theorem? A

A:

Q: A prism with bases that are not aligned one directly above the other and lateral faces that are all…

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Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

Q: 7. What is the measure of the arc intercepted by inscribed angle ZNMO if ZNMO = 85°? a. NO = 170° c.…

A: 9.) In the given figure, MS⏜≅PE⏜ and MS⏜=40°. The intercept rule of circles states that, equal arcs…

Q: Based on the image below, which triangle congruence theorem would prove the triangles congruent?

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Q: therefor its an equilateral. 2. AXYZ is an obtuse triangle. What can you say about the types of…

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Q: What additional information is needed to prove the triangles congruent? What theorem of postulate…

A: Consider the given triangles △ACB  and  △ECD The vertically opposite angles ∠ACB  and  ∠ECD are…

Q: Give the measures of the following angles in Kite WXYZ:

A:

Q: The diagonals of a rhombus are 16 cm and 12 cm long respectively. Determine the acute angle between…

A: The diagonals of a rhombus are 16 cm and 12 cm long respectively. To determine the acute angle…

Q: Find the angle planes 3xx + z=land radans between the Sy +z=. in

A: We use dot product between Normal vectors of given planes to find angle between these two planes

Q: If RS = 40, ST = 41, and RT = 11, is ARST a right triangle? Explain. %3D %3D %3D

A: Check by Pythagorean theorem

Q: Base angles are congruent in an isosceles trapezoid. O True False

A: In an isosceles trapezoid,  two non-parallel  sides are equal. So, the base angles are same as equal…

Q: prove the theorem that states that the angle between a tangent and a chord is equal to the angle in…

A: To prove the theorem that states that the angle between a tangent and a chord is equal to the angle…

Q: What theorem can be used to prove that AABD ADCA? Explain by naming the corresponding parts of the…

A: We have different congruency theorem to prove the congruency of the two triangles.  Sum of them are…

Q: Find a positive angle less than 360° or 2π that is coterminal with a 17π/3angle?

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Q: Consider AXYZ (not shown). a) Which side is included by LX and LY? b) Which angle is included by…

A: Given, to consider a triangle XYZ To find a) Which side is included by ∠X and ∠Y? b) Which angle is…

Q: Given two concentric circles with common center O. Suppose angle OWY is congruent to angle OXZ.…

A: