HCS MA Geometry Common Assessment 1_24-25

Rectangle QRST is shown. Which of the following would be a reason to claim that QRST is NOT a square?

• QS = RT

• QT ≠ QR

• QT ⟂ TS

• QR ∥ TS

Tags

CCSS.HSG.CO.C.11

In the square ABCD, AC = 3x - 4 and BE = x + 6, where E is the intersection of the diagonals. What is the length of AC?

• 11

• 16

• 22

• 44

Tags

CCSS.HSG.CO.C.11

Given parallelogram ABCD with A(-2, -2), B(1, 2), C(4, -2), and D(1, -6), select all of the following that are true.

• ABCD is a rhombus.

• The diagonals are perpendicular.

• All four sides are congruent.

• The diagonals are congruent.

• ∠A, ∠B, ∠C are right angles.

Tags

CCSS.HSG.CO.C.11

What is the measure of Angle F?

• 60°

• 120°

• 135°

• 150°

A polygon has an exterior angle of 40°. What is the name of the polygon?

• Heptagon

• Hexagon

• Nonagon

• Octagon

Calculate the area of a sector with a central angle of 120 degrees and a radius of 6 meters.

• 6π m²

• 12π m²

• 24π m²

• 36π m²

Tags

CCSS.HSG.C.B.5

If the radius of a circle is tripled, how does the area of a sector with a fixed central angle change?

• It remains the same.

• It becomes one-third as large.

• It triples.

• It becomes nine times as large.

Tags

CCSS.HSG.C.B.5

△ABC is inscribed in Circle O, and AB passes through O. If m∠BAC = 40°, find the measure of arc AC.

• 80

• 60

• 100

• 120

Tags

CCSS.HSG.C.A.2

Circle P has a radius of 6 units. A central angle of Circle P is 165 degrees. What is the length of the minor arc?

Tags

CCSS.HSG.C.B.5

Consider the circle with center (h, k), and radius, r. How can the Pythagorean Theorem be used to derive the equation of the circle?

Tags

CCSS.HSG.GPE.A.1