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D. N. A. y. PQRS~ABCD. 12. x. 21. z. 10. 15. 30. Find the scale factor of PQRS to ABCD. Find the value of x. Find the value of y. Find the value of z. Find the perimeter of PQRS. Find the perimeter of ABCD. Find the ratio of the perimeter of PQRS to the perimeter of ABCD. K. Y.
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D. N. A. y PQRS~ABCD 12 x 21 z 10 15 30 Find the scale factor of PQRS to ABCD. Find the value of x. Find the value of y. Find the value of z. Find the perimeter of PQRS. Find the perimeter of ABCD. Find the ratio of the perimeter of PQRS to the perimeter of ABCD.
K Y J L X Z SAS Similarity Theorem • If one angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. ass Pantograph
S 4 5 P Q 15 12 R T Prove RTS ~ PSQ S S (reflexive prop.) SPQ SRT SAS ~ Thm.
N P 15 12 Q 10 9 R T Are the two triangles similar? NQP TQR Not Similar
Determine the similar triangles. 5. Find x, AC, and ED. 6. Find x, JL, and LM. 7. Find x, EH, and EF.
In the figure, , and ABC and DCB are right angles. Determine which triangles in the figure are similar. Are Triangles Similar? Lesson 3 Ex1
In the figure, OW = 7, BW = 9, WT = 17.5, and WI = 22.5. Determine which triangles in the figure are similar. A.ΔOBW ~ ΔITW B.ΔOBW ~ ΔWIT C.ΔBOW ~ ΔTIW D.ΔBOW ~ ΔITW Lesson 3 CYP1
ALGEBRAGiven , RS = 4, RQ = x + 3, QT= 2x + 10, UT = 10, find RQ and QT. Parts of Similar Triangles Lesson 3 Ex2
Since because they are alternate interior angles. By AA Similarity, ΔRSQ ~ ΔTUQ. Using the definition of similar polygons, Parts of Similar Triangles Substitution Cross products Lesson 3 Ex2
Parts of Similar Triangles Distributive Property Subtract 8x and 30 from each side. Divide each side by 2. Now find RQ and QT. Answer:RQ = 8; QT = 20 Lesson 3 Ex2
INDIRECT MEASUREMENT On her trip along the East coast, Jennie stops to look at the tallest lighthouse in the U.S. located at Cape Hatteras, North Carolina. At that particular time of day, Jennie measures her shadow to be 1 feet 6 inches in length and the length of the shadow of the lighthouse to be 53 feet 6 inches. Jennie knows that her height is 5 feet 6 inches. What is the height of the Cape Hatteras lighthouse to the nearest foot? A. 196 ft B. 39 ft C. 441 ft D. 89 ft Lesson 3 CYP3
Geometry – Practice Workbook Do not write in the workbook. Write your answers on a separate sheet of paper. Complete: p. 43 #1 – 8 all p. 42 #1 – 5 odd p. 41 # 1 – 15 odd