Geometry Section 11.1 Circles Pt 1

Geometry Section 11.1 Circles

Day 1

Multiple Choice

Your best guess.

How do you name a circle?

• on a whim.

• pick names out of a hat

• use a point on the circle

• Name the circle using the center of the circle.

Multiple Choice

Your best guess.

How do you prove two circles are congruent?

• measure the distance between two points on each circle and show the distances are the same.

• They are congruent if they share two points.

• Show the radii are congruent.

• They are congruent if they have the same center.

Multiple Choice

$$\overline{AT}$$  

Classify this segment on the circle.

• diameter

• radius

• center

• chord

Multiple Select

Given any line and any circle in a plane, which of the following are the number of possible intersections between the line and the circle.

• 0

• 1

• 2

• 3

• 4

Drag and Drop

Tangent​

Placeholder

​ ​ Chord​

Placeholder

Diameter​

Placeholder

Secant​

Placeholder

Drag these tiles and drop them in the correct blank above

​Diameter -

Chord -

Secant -

Tangent -

Hotspot

Point of tangency

Multiple Select

$$\overline{RS}$$  

Classify this segment on the circle.

• diameter

• radius

• center

• chord

Multiple Choice

$$\overline{RT}$$  

Classify this segment on the circle.

• diameter

• radius

• center

• chord

Fill in the Blank

Name the point of tangency

Multiple Select

Name the points of tangency.

• Q

• R

• S

• T

• 5

​

​

Fill in the Blank

If segment AB is tangent to the circle then find the measure of angle C.

x = ?

Do not type degrees, just the number.

Fill in the Blank

Find the measure of angle C

x = ?

do not include degrees

Multiple Choice

Is the line LM tangent to the circle?

• No

• Yes

• No way to tell

Multiple Select

Given the two tangents to the circle, find the value of x.

• $$3\sqrt{3}$$  

• $$\approx5.2$$
  

• $$3\sqrt{5}$$  

• $$\approx6.7$$  

Multiple Select

Given the two tangents to the circle, find the value of y.

• $$3\sqrt{3}$$  

• $$\approx5.2$$
  

• $$3\sqrt{5}$$  

• $$\approx6.7$$  

Fill in the Blank

Given the two tangents to the circle find the value of x in this diagram.

Homework

• Formative 11.1. # 1 - 6

Fill in the Blank

Find the perimeter of the circumscribed triangle.