Then LISTEN carefully and follow my instructions to complete, label and tape down the composite

1. Then LISTEN carefully and follow my instructions to complete, label and tape down the composite reflection of rl ◦ rs (TRUE) R’’ T’’ E’’ U’’ U’ E’ R’ T’

2. Then LISTEN carefully and follow my instructions to complete, label and tape down the composite reflection of rs ◦ rl (TRUE) R’ U’ E’’ T’’ U’’ E’ T’ R’’ COMPOSITE REFLECTION This is called a __________________ ___________________ of rl ◦ rs (TRUE). _______________________________ the preimage over the line s first and then _______________________________ that image over the line l. T’R’U’E’ is read as ____________ ____________ ____________ & ____________. T’’R’’U’’E’’ is read as ____________ ___________ _____________&____________. The orientation of TRUE is ____________________________________________. The orientation of T’R’U’E’ is __________________________________________ The orientation of T’’R’’U’’E’’ is ________________________________________ REFLECT REFLECT T prime R prime U prime E prime T double prime R double prime Since the lines intersect the final result is called a ___________________________. To find the magnitude of the ___________________________, measure the acute angle made by the lines and _____________________ it. If the direction of the ______________is __________________ the sign is negative. If the direction of the ______________ is___________________ the sign is positive.

3. Rotations, Magnitude & Angles Name;___________________ Date:_________ Group:_______ Using patty paper and a straightedge, trace the quadrilateral TRUE and lines s & l Then LISTEN carefully and follow my instructions to complete, label and tape down the composite reflection of rl ◦ rs (TRUE) This is called a __________________ ___________________ of rl ◦ rs (TRUE). _______________________________ the preimage over the line s first and then _______________________________ that image over the line l. T’R’U’E’ is read as ____________ ____________ ____________ & ____________. T’’R’’U’’E’’ is read as ____________ ___________ _____________&____________. The orientation of TRUE is ____________________________________________. The orientation of T’R’U’E’ is __________________________________________ The orientation of T’’R’’U’’E’’ is ________________________________________ Since the lines intersect the final result is called a ___________________________. To find the magnitude of the ___________________________, measure the acute angle made by the lines and _____________________ it. If the direction of the ______________is __________________ the sign is negative. If the direction of the ______________ is___________________ the sign is positive.

4. Using patty paper and a straightedge, trace the quadrilateral TRUE and lines s & l Then LISTEN carefully and follow my instructions to complete, label and tape down the composite reflection of rl ◦ rs (TRUE) This is called a __________________ ___________________ of rl ◦ rs (TRUE). _______________________________ the preimage over the line s first and then _______________________________ that image over the line l The magnitude of the ____________________________ is _________________ or _______________________________________________________________

5. a. When asked to complete ry-axis◦ rx-axis (∆PQR), which reflection do you complete first? b. Complete ry-axis◦ rx-axis (∆PQR). c. List the coordinates of ∆P”Q”R” 1. • Write the notation of this composite reflection • ____________________________________ • b. In the composite reflection below mCOL = 55. • What is the magnitude and direction of the rotation • that maps ∆ABC on to∆A’’ B” C” ? 2. • Write the notation of this composite reflection • ____________________________________ • The rotation of ABCD onto A’’B’’C’’D’’ has a • magnitude of -96◦. What is the measure of the acute angle made by the intersecting lines? 3.

6. Arc Length VS Measure of Arcs R 110º 3” D N U 4. Answer the following for this example of arcs. a. Find the formula for circumference: b. Find the circumference of the circle. c. Highlight the minor arc in blue. d. Highlight the major arc in yellow. e. Name the minor arc f. Name the major arc (use 2 letters & symbol) (use 3 letters & symbol) g. Give the measure of the major arc. h. Find the length of the major arc.

7. 5. Answer the following for this example of concentric circles. • a. Name the minor arcs. _____________, and ______________. • b. Find the measure of each minor arc. • __________________, and __________________ . • c. Name the major arcs. _____________,and ______________. • d. Find the measure of each major arc • ______________________, and _______________________ • If GK = 5cm, find the lengthof GI. • If AK = 10 cm, find the length of CA A  B 45º G C I K  E ( (

8. Measures of Inscribed &Central Angles 6. In each example, use a protractor to measure and label mBAC &mBOC. Then label the m BC. ( B B O A A O C C B B O A O A C C

9. 7) Here are examples of arcs and angles in a circle with the center E • and equilateral triangle TRI. Use correct symbols & notation • a. Name the 5 inscribed angles. _______________ • _______________________________________ • b. Find the measure of each arc: mTRI __________ • mTR _____________ and mTI _____________ • c. Name the central angle. ___________________ • d. Find the measures of: mTEI _____________ • mETI _________ and mRTE __________ • If EI = 4, find the length of each minor arc. • If EI = 4, find the length of each major arc. R ( ( ( E T I

10. 7) Here are examples of arcs and angles in a circle with the center U. Use correct symbols & notation, a. Name two minor arcs: b. Name a semicircles: c. Name two major arcs: d. Name the three inscribed angles. e. Find mLMN. Justify your answer f.If LM = 4& MN = 8, find LN, m LMN and the length of LMN M L N U ( (