Geometry Final Review

Is triangle ABC a right triangle? How do you know?

• Yes. Because there's a right angle in the triangle.

• No. Because there isn't a right angle at any vertex.

• No. Because the sum of the squares of the legs is NOT equal to the square of the hypotenuse.

• Impossible to determine.

Tags

CCSS.8.G.B.8

Compute the perimeter of triangle ABC.

• 28.73 units

• 30.11 units

• 13.3 units

• 24.03 units

Tags

CCSS.HSG.GPE.B.7

Consider the quadrilateral ABCD with vertices A(-2, -1), B(2, 2), C(5, -2), and

D(1, -5). Graph using Desmos or GeoGebra.

A) Prove that the quadrilateral is a rectangle. Justify your reasoning.

• Quadrilateral, two opposite and parallel sides without right angles.

• Quadrilateral, four right angles, one pair of opposite congruent sides.

• Quadrilateral, adjacent slopes equal to each other's negative reciprocals, opposite sides are congruent, all vertices are right angles.

• Quadrilateral with exactly one pair of opposite and parallel sides.

Tags

CCSS.6.G.A.3

Which of the following are true about the surface area of the object? Check all that apply.

• r = 1 inch

• Formula for SA = $\pi r\left(r+\sqrt{h^2+r^2}\right)$
  

• Surface Area = 52.3 Square Inches

• h = 6 inches

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

CCSS.HSG.GMD.A.1

Which shape is made by this cross section?

• Triangle

• Parallelogram

• Circle

• Trapezoid

Tags

CCSS.7.G.A.3

Calculate the volume of the resulting solids.

(Hint: Subtract the dotted object's volume from the grey object's volume.)

• 1189.82 Cubic Yards

• 906.34 Cubic Yards

• 840.67 Cubic Yards

• 436.45 Cubic Yards

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the equation for the following circle?

• x² + (y + 3)² = 1²

• (x - 4)² + (y - 1)² = 5²

• (x - 4)² + (y - 1)² = 2²

• (x - 4)² + (y - 1)² = 3²

Tags

CCSS.HSG.GPE.A.1

What is the difference between a secant and a tangent?

• A secant is a intersects the edge of the circle two times.

• It goes through the center of the circle.

• A tangent only touches the circle once.

• There is no difference.

Tags

CCSS.HSG.C.A.2

Use the Theorem. Solve for the x.

• 14

• 20

• 71

• 3

Tags

CCSS.HSG.C.A.2

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Tags

CCSS.HSG.CO.A.2