Quadrilateral ABCD is inscribed in circle O. Which three statements are correct?

Q: What is the sum of the measures of the interior angles of a convex 20-gon? The sum of the measures…

A: The sum of the measures of the interior angle of a polygon that has n sides is n-2·180°.

Q: Answer the following questions. In order to say that ALEO = AVOE, you must determine corresponding…

A: Given that, LE ≅ VO

Q: 1. Prove that the sum of the interior angles of triangle ABC is 180 degrees C B.

A: Consider the triangles ABC as shown below. Now draw a line through the point A of the triangle such…

Q: Find the sum of the measures of the interior angles of a poly- gon of n sides if: а) п %3D 5 b) п…

A: a). n=5 Now the sum of interior angles is, n-2·180°=5-2·180°=540°

Q: If ray BD bisects angles ABC, then m angles ABD =1/2(?)

A:

Q: 15. Are the triangles congruent? State how. ¿Son los triángulos congruentes? Indique cómo. %23 SSS…

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Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: What is the formula for the sum of the interior angle measures in any polygon with "n" sides?

A: let's us consider a polygon having n-sides . there will be exterior as well as interior angles.

Q: 2. In APAD, the given angle is included between which two sides? angles are congrvent So a. ZP b. ZD

A: To find: The two sides in which given angle is included. Given information: (a) ∠P (b) ∠D Image:

Q: Is it possible for a trapezoid to have sides of lengths 3,7,5, and 11? Address ALL possible…

A: Let's say the trapezoid has side lengths a, b, c, d, such that sides a and c are parallel to each…

Q: Find the measure of one angle in a regular... a) Нехадon b) 21-gon

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Q: 1. Which two triangles are congruent by ASA? Explain. Y

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Q: Determine if the 2 triangles are congruent and explain why? 12 in 20 in 12 in 20 in

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Q: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a)  Is it really necessary to construct all three bisectors of the angles of a triangle to…

Q: Prove: If the sum of the angles of a triangle is a constant n, then n = 180 and thus the geometry is…

A: Consider a triangle:   Here, ∠A+∠B+∠C=n (constant)……1

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: Given, a land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long…

Q: A 6-foot-tall mirror is leaned against a wall at an angle. A 5-foot-tall mirror is leaned against…

A: Triangles are similar when                      i) All the angles of the triangles are equal.…

Q: To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram How…

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Q: Which property of similarity can be used to prove triangles PQR and STU are similar?

A: In order to prove two triangle to be similar there are 3 properties of similarity

Q: entify if the two triangles are similar and by what postulate/theorem. 3. м 6 10 L5

A:

Q: Prove that the sum of opposite angles of a cyclic quadrilateral is 180°.

A: ABCD is cyclic quadrilateral. 'o' is center. We have to prove  ∠ADC+∠ABC=180°   Construction: Join…

Q: When two parallel lines are cut by a single transversal, v total angles are formed. All of the angle…

A: When two parallel lines are cut by a single transversal, 4 total angles are formed.

Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: 4. In AABC, AB= BC and mZABC = 90°. Dand E are the midpoints of AB and BC, respectively. If the…

A: We can find the answer as below

Q: A polygon is regular or a polygon has a side which is longer than another side of the polygon. If a…

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Q: 2. Which congruency theorem is described below? "In two triangles, if two pairs of sides and their…

A: In the given figure, in triangle ABC and PQR, AC = PQ AB = PR And, ∠A=∠P So, in triangles, two…

Q: If two angles and the included side of a triangle are congruent to the 2 corresponding angles and…

A: If two angles and the included side of a triangle are congruent to the 2 corresponding angles and…

Q: Is the following a proof? If not, why not? Theorem: The base angles of an isosceles triangle are…

A:

Q: Identify all pairs of corresponding parts, then complete the new congruence statement. ABCD = EFGH…

A: Given equal angles are-∠BCD=∠HGF∠CBA=∠GFE∠BAD=∠FEH∠ADC=∠EHGHence these are the corresponding angles…

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

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Q: 8. Define the angles of the triangle with sides that are the following length: adj = 6, opp = 8. %3D…

A: Given:-Adjacent=6Opposite=8

Q: In triangle ABC, point D is the midpoint of side AB, point E lies on side BC such that BE = 2EC, and…

A: Given that, In triangle ABC, point D is the midpoint of side AB, point E lies on side BC such that…

Q: Calculate the sum of the measures of the interior angles of an 11-gon.

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Q: What is the sum of the measures of the interior angles of a 25-gon?

A: Given : 25-gon

Q: is 2 cm , 7 cm , and 4cm a unique or more than one triangle?

A:

Q: Prove that the sum of the measures of angle in a triangle is 180�

A:

Q: 6. If each angle in one triangle is congruent to its corresponding angle in another triangle, are…

A: Given Two triangles with each angle equal to corresponding angles of other triangle. We have to…

Q: prove that the sum of the interior angles of a triangle ABC is 180 degrees

A:

Q: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

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: Which postulate uses the three congruent sides of a triangle to prove two triangles congruent?

A: We will check which congruence postulate follows.

Q: given the regular decagon (10 sided polygon) pictured below, which statements are true?

A: We have to find the symmetry.

Q: 2.) Each angle of a regular undecagon measures ____. 3.) What is the sum of the interior angles of a…

A: For a regular polygon, the lengths of all sides are equal and the measures of all angles are equal.…

Q: In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a…

A: We can answer the question as below.

Q: Prove that angle B is congruent to C and angle BAD is congruent to D.

A: Solution is attached below

Q: Find the measure of one interior angle of a regular 24-gon. Interior angle of the 24-gon is

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Q: In triangles ABC and LMN, ZA L, 2B ZM, and Ce ZN. Is this information sufficient to prove triangles…

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Q: What is the sum of an interior angle measures of a regular 13-gon?

A: The answer is found in step-2.

Q: 3 sides 2 sides and 1 included angle 2 angles and 1 included side 2 angles and 1 non-included side

A: We have to find the property of congruence for each case

Q: Are the two sets disjoint or equivalent? S={triangles with two congruent sides}; A={triangles with…

A: S={triangles with two congruent sides}; A={triangles with two congruent angles}. When a triangle…