Direction: Prove the following.• If two chords of circle or of congruent circles are congruent, then the corresponding minor arcsare congruent.• If two central angles of a circle or of congruent circles are congruent, then the correspondingminor arcs are congruent.• If two minor arcs of circle or of congruent circle are congruent, then the corresponding centra!chords are congruent.• If twa chords of a circle or of congruent circles are congruent, then the corresponding centralangles are congruent.• if two inscribed angles intercept the same arc or congruent arcs, then the angles are congruent.

according to our guidelines we can answer only three subparts, or first question and rest can be…

Answered: Direction: Prove the following. • If…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the parallelogram. If the parallelogram is rotated 90 clockwise with the center of rotation at the origin, which best describes the resulting figure? The resulting figure will be a rectangle because all angles will be 90°, but not all sides are equal. O The resulting figure will be a square because all angles will be 90°, and all sides are equal. O The resulting figure will still be a parallelogram because rotations preserve parallel lines. The resulting figure will not be a parallelogram because rotations do not preserve parallel lines. DELL
15 Illustration 4.80 If 0 is the angle between the two radii (one to each circle) drawn from one of the point of intersection of two circles x² + y² = ² and (x − c)² + y² = b², then prove that the length of the common chord of the two 2absin 0 circles is √²+6²-2abcose
If line AB and line AC are two sides of the diagram, at which coordinates should point D be placed so that ABDC is a parallelogram? Point D should at(_,_).
1. In this theorem, the similarity between two triangles are determined when two sides of one triangle are proportional to the corresponding sides of another, and the included angles are congruent. AA Similarity theorem SAS Similarity theorem SSS similarity theorem 2. Pythagorean theorem Two triangles are similar when the two corresponding angles are congruent. AA Similarity theorem SAS Similarity theorem SSS similarity theorem Pythagorean theorem 3. This theorem guarantees similarity of two triangles when their corresponding sides are in proportion. AA Similarity theorem SAS Similarity theorem SSS similarity theorem Pythagorean theorem 4. It is the square of the length of the longest side of any right triangle equal to the sum of the square of the lengths of the legs. AA Similarity theorem SAS Similarity theorem SSS similarity theorem Pythagorean theorem
I have a chords and arcs problem.
In right triangle ABD with the right angle at vertex A, altitude AC is drawn from vertex A to side BD. Which of the following similarity statements are true as shown in the diagram? Select all that apply. ADBA ADAC ADBA ADCA AADC AABC AADC ~ ДВАС ADAB A ACB ADAB AABC
Activity 4. Watch It Right! Directions: Put a check () mark in the box if the statement is right and (X) mark if it is not. Arc is a part of a circumference of a circle. In the same circle, congruent chords have congruent arcs. A chord is an arc which endpoints are on a given circle. Two circles are congruent if their radii are congruent. 1. 2. 3. 4. A radius is the longest chord in a circle. Congruent arcs in the same circle, have congruent chords. When the diameter is drawn in a circle, the chord is bisected. 5. 6. 7. Congruent chords in congruent circles have congruent arcs. When a diameter is drawn in a circle and is perpendicular to a chord, the arc of the chord is bisected. 10. All diameters are chords, but not all chords are diameters. 8. 9.
Determine the relationship between the two triangles and whether or not they can be proven to be congruent. The two triangles are related by so the triangles

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