Day 1 Assessment Materials: Name:______________________

Period:_________ Topic 19 (Chords, Arcs, & Inscribed Angles): Vocabulary

Directions: Around the room, there are 12 vocabulary terms and matching photos. Use the photo and infer the definition of the vocabulary term. As a class, we will edit and add to our definitions. Vocabulary Term Definition: Picture:

Circle and Center

Radius and Diameter

Major and Minor Arcs

Tangent

Chord

Central Angle

Inscribed Angle

Semicircle

Inscribed Angle

Equidistant

Parallel and Perpendicular

Perpendicular Bisector

Name_____________________________________ Period ___

Topic 19 HW1 Overview

1. For each of the following terms, write a definition and draw a sketch: chord :

semicircle :

arc :

central angle :

minor arc :

inscribed angle :

major arc :

intercepted arc :

2. Mathematicians measure arcs in two ways. This topic is about measuring the angle of an arc, and the units are _______________. If all the arcs of a circle are added together, you get a full circle of _______ degrees. The measure of a minor arc is the measure of the ____________ ______________ that intercepts it. Conversely, the measure of a ____________ angle is the same as the measure of its _________________ arc. 3. Find the measurements of the arcs and angles listed:

m𝑀𝐴 = m𝑀𝐵 = m∠𝐴𝑅𝑈 =

m𝐴𝐷 = m𝐶𝐴𝐵=

4. Solve for x in each circle:

5. On the concentric circles A, m𝐵𝐷 = 15°. What is m𝐺𝐻  ? What is m𝐺𝐻𝐹  ? What is m∠ HAG ? What is m𝐸𝐹  ? What is m𝐷𝐶  ?

6. Name each part of the circle below. You do not need to find a measurement.

7. Answer the following questions about Circle C. a. Why is this circle called circle C? b. Give the length for CE and CP. (Hint: definition of a circle) c. What is MP called, and what is its length? d. Find AC using Pythagorean’s Theorem. Give an exact answer and a decimal approximation.

E  

M   P  

∠  

S

52°  

60°  

Day 2 Assessment Materials: Name:_______________________

Period:___Date:_____________

Circles Day 1 and 2: Review and Example Problems Concept 1: Inscribed and Central Angle Arc Relationships a) m∠QP=115°. b) m𝑆𝑇𝑅= 330° Find mQP. Find x. mQP=__________ x=__________ Concept 2: Radius Bisects a Chord at a Right Angle

a) Line AB has a length of 10 cm. Explain how you know the length of line BC and find its length.

BC= _____________ Concept 3: Congruent Chords Intersect Congruent Arcs a) Are chords MN and OP congruent? b) TU≅ VX. Why or why not? If TU = 44in, find VX.

VX=_______

A B

P

Q

R

T

N

M

O

P

T

V

X

U

c) The length of chord EG is 5 and the length of chord

FH is 5. If the mFH=108°, find mEG.

mEG=_______________ Concept 4: Congruent Chords Are Equidistant to the Center

a) XY= 20 WZ=20

How should a and b compare? If a is 27 cm., what is b? y=_________

   

E

F

H

G

Day 3 Assessment Materials: Name:_____________Period:____

Topic 19 Skills Check Directions: Show all work!

1. Given the diagram, find the following:

a. A tangent segment:

b. A diameter:

c. A chord:

d. A central angle:

e. An inscribed angle:

f. A major arc:

g. A semicircle:

2. Given the circle below, find the measure of angle P and explain.

Measure of Angle P: _____________

3. Give the diagram below, find the measure of angle A and explain your reasoning.

Measure of Angle A:_____________

X

Y

O W

T

Z

.

A  

B  

C   44°  A  

Day 4 Assessment Materials: Group Work/Station Handout (See instructional Materials for Problems)

Topic 10 Review: Circles, Chords, and Arcs

Problem #______:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________  

Day 5 Assessment Materials: See instructional materials for the assessment that students CREATE on day 5. See Part B Lesson Plans for the Kahoot Game Questions link.