Geometry EOC Review 6

In Circle A, AE = DE, FE = 6 inches and GE = 10 inches. What is the length of the radius of Circle A? Round to the hundredths place.

Mathematical Equivalence

ON

In Circle A, DE and BC intersect at point F. FE = 1.3 units, BF = 1.9 units, FD = x + 1.3 units and CF = x units. Find the value of x. Round to the hundredths.

Mathematical Equivalence

ON

Find the measure of angle E in circle A.

Mathematical Equivalence

ON

A circle is given with two intersecting secants, PA and PC. What is the sum of the measures of angle BCP, angle CPB, and angle PBC?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

What is the sum of the measures of angle PBC and angle ABC?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What can you conclude about the relationship between the sum of the measures of the angles from the previous two questions?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Using the information from the previous question, what can you conclude about the measure of angle 𝐶𝑃𝐵? State your conclusion algebraically as an equation where ∡𝐶𝑃𝐵=?

∡𝐶𝑃𝐵=​ (a)   -​ (b)  

The International Space Station (ISS) passes over the earth 248 miles above the earth’s surface. The angle formed between the two tangents from the ISS and the earth measures 140.4 degrees. What is the measure of the arc of the earth that could have a view of the ISS passing overhead?

Mathematical Equivalence

ON

Quadrilateral 𝐷𝐶𝐹𝐸 is inscribed in Circle 𝐴 and the measure of angle 𝐷 is 75˚. What is the measure of angle 𝐶𝐴𝐸?

• 75°

• 105°

• 150°

• 60°

Quadrilateral 𝐷𝐶𝐹𝐸 is inscribed in Circle 𝐴 and the measure of angle 𝐷 is 75˚. What is the measure of angle 𝐶F𝐸?

• 75°

• 105°

• 150°

• 60°