What is the measure of arc BC?

The measure of arc BC is 75 degrees. Remember that BD is a diameter. We know that there are 180 degrees in half of a circle.

What is the measure of BC 65?

Step-by-step explanation: Angle BDC is inscribed angle subtended on the arc BC. The measure of the angle BDC is 65°.

What is the measure of minor arc BC?

Answer. Answer: The minor arc BC in degrees is less than 180°.

What is the measure of minor arc eg quizlet?

An arc defined by two rays is a fractional part of a circle. For example, the measure of an arc defined by a quarter of a circle is simply a quarter of 360 = 90 degrees. Points A, B, C, D lie in this order on the circumference of a circle. Minor arc AC is 160°, and minor arc BD is 140°.

What is the degree measure of each arc along the rim?

Answer. ANSWER: Each arc along the rim measures 60°.

What is the measure of the major arc?

The degree measure of a major arc is 360° minus the degree measure of the minor arc that has the same endpoints as the major arc. The following theorems about arcs and central angles are easily proven.

What does a major arc look like?

A major arc is an arc larger than a semicircle. A central angle which is subtended by a major arc has a measure greater than 180°. A chord, a central angle or an inscribed angle may divide a circle into two arcs. The smaller of the two arcs is called the minor arc.

What can you say about the measure of inscribed angle and its intercepted arc?

Theorem 70: The measure of an inscribed angle in a circle equals half the measure of its intercepted arc. The following two theorems directly follow from Theorem 70. Theorem 71: If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

What is the difference between inscribed angle and intercepted arc?

An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

Why are inscribed angles half the arc?

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees.

How did you determine the measure of the intercepted arcs?

Answer. If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arc. If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arcs.

How would you determine the measures of the arcs intercepted by the angles?

Intercepted arc formula

1. The central angle = the measure of the intercepted arc.
2. 2 x the inscribed angle = the intercepted arc.
3. The inscribed angle = half the sum of intercepted arcs.
4. The size of the vertex angle outside the circle = 1/2 × (difference of intercepted arcs)

How did you determine the measure of the inscribed angles?

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc. The measure of the central angle ∠POR of the intercepted arc ⌢PR is 90°. Therefore, m∠PQR=12m∠POR =12(90°) =45°.

What is the measure of XYZ?

Answer Expert Verified Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=degree.

What is the measure of angle rst 47 77?

Therefore, the measure of angle RST is 62 degrees.

What is M XYZ?

The sum of two adjacent angles is the sum of the overall angle formed by the sum of the smaller angles. So, m∠XYW + m∠WYZ = m∠XYZ.

What does M mean in triangles?

having equal length

Is Pqr XYZ?

Cannot be determined. AA-Similarity postulate: Two angles of one triangle is equal to its corresponding angles of other triangle. But we have not enough information by which we can determine triangle PQR and triangle XYZ is similar. Hence, option D is true.

Is Pqr similar to XYZ?

We will discuss here about the similar triangles. If two triangles are similar then their corresponding angles are equal and corresponding sides are proportional. Here, the two triangles XYZ and PQR are similar.

Is Triangle XYZ triangle ABC if so name which similarity postulate or theorem applies?

1 Expert Answer Similarity by AA postulate.

Is triangle ABC triangle def If so name which similarity postulate or theorem applies?

Answer Expert Verified By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar. Therefore, option C is correct option.

Is ABC DEF If so name which similarity postulate or theorem applies 75 55?

Step-by-step explanation: Also, measure of ∠B=∠E is 75° and measure of ∠C=∠F=55°. Therefore, by AA similarity of both the triangles, ΔABC is similar to ΔDEF. Hence, option B is correct.

What else would need to be congruent to show that ABC DEF by SAS?

Two triangles are congruent by SAS congruence property if two sides and the angle between the two equal sides is congruent in both the triangles. It is given the sides AB ≅ DE and AC≅DF in triangles ABC and DEF. The angles between these equal sides are congruent by SAS if

Is ABC LMN If so name which similarity postulate or theorem applies?

ΔABC is similar to ΔLMN. Hence, both the given triangles are similar by the option A postulate that is AA similarity postulate.