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.HSG.CO.C.10

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Compute the perimeter of triangle ABC.

• 28.73 units

• 30.11 units

• 13.3 units

• 24.03 units

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.11

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.HSG.CO.A.1

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

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.HSG.GMD.B.4

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.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

CCSS.HSG.C.B.5

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

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6