Geometry | Unit 7 | Lesson 5: Triangles in Circles | Practice Problems

Do you agree with either of them? Explain or show your reasoning.

The distance between points \(E\) and \(B\)? Explain or show your reasoning.

Tags

CCSS.HSG.CO.C.9

Construct the circumcenter of each triangle. Then, based on the locations of the circumcenters, classify each triangle as acute, right, or obtuse.

Tags

CCSS.HSG.C.A.3

Select all quadrilaterals that cannot be cyclic.

• a square with side length \(\sqrt5\) units

• a 2 inch by 4 inch rectangle

• a rhombus with side length 5 centimeters and angle measures 20 degrees and 160 degrees

• quadrilateral \(ABCD\) in which angle \(A\) is 62 degrees, angle \(B\) is 97 degrees, angle \(C\) is 118 degrees, and angle \(D\) is 83 degrees

• quadrilateral \(WXYZ\) in which angle \(W\) is 45 degrees, angle \(X\) is 135 degrees, angle \(Y\) is 90 degrees, and angle \(Z\) is 90 degrees

Tags

CCSS.2.G.A.1

A quadrilateral \(ABCD\) has the given angle measures. Select the set of measurements which could come from a cyclic quadrilateral.

• angle \(A\) is 70\(^\circ\), angle \(B\) is 110\(^\circ\), angle \(C\) is 70\(^\circ\), and angle \(D\) is 110\(^\circ\)

• angle \(A\) is 60\(^\circ\), angle \(B\) is 50\(^\circ\), angle \(C\) is 120\(^\circ\), and angle \(D\) is 130\(^\circ\)

• angle \(A\) is 100\(^\circ\), angle \(B\) is 110\(^\circ\), angle \(C\) is 70\(^\circ\), and angle \(D\) is 80\(^\circ\)

• angle \(A\) is 70\(^\circ\), angle \(B\) is 45\(^\circ\), angle \(C\) is 110\(^\circ\), and angle \(D\) is 45\(^\circ\)

What is the measure of angle \(YXZ\)?

Tags

CCSS.HSG.C.A.2

What is the measure of angle \(ACB\)?

Tags

CCSS.HSG.C.A.2

What is the measure of the arc from \(A\) to \(B\) not passing through \(C\)?

Tags

CCSS.HSG.C.B.5

A quadrilateral has vertices \(A=(0,0), B=(2,4), C=(0,5),\) and \(D=(\text-2,1)\). Select the most precise classification for quadrilateral \(ABCD\).

• quadrilateral

• parallelogram

• rectangle

• square

Tags

CCSS.6.G.A.3