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Circle and Line Intersections

Circle and Line Intersections

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSG.GPE.A.1, HSA-REI.B.4B, 8.EE.B.5

+3

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSG.GPE.A.1
,
CCSS.HSA-REI.B.4B
,
CCSS.8.EE.B.5
CCSS.8.EE.C.8B
,
CCSS.HSA.REI.C.7
,
CCSS.HSA.REI.C.6
,
The video tutorial covers the intersections of circles and lines, explaining the three possible scenarios: no intersection, one intersection, and two intersections. It demonstrates how to graph these intersections and solve them algebraically using quadratic equations. The tutorial includes step-by-step examples to reinforce the concepts and provides tips for checking solutions algebraically.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible number of intersection points between a circle and a line?

One, two, or three

Zero, one, or two

One, two, or four

Zero, one, or three

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used when a circle and a line touch at exactly one point?

Tangent

Secant

Chord

Diameter

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing a circle, what information is needed?

Center and radius

Diameter and circumference

Area and perimeter

Chord and tangent

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve for the equation of a line graphically?

By measuring the angles

By determining the radius and center

By calculating the area under the curve

By finding the slope and y-intercept

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a system of equations algebraically?

Solve the linear equation for a variable

Graph the equations

Calculate the area

Find the diameter

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to solve the quadratic equation in the algebraic approach?

Factoring

Graphing

Using the Pythagorean theorem

Completing the square

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example, what are the solutions for the quadratic equation?

Y values

X values

T values

Z values

Tags

CCSS.HSA-REI.B.4B

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