Post on 26-Mar-2020
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 #______:
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