P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter5: Similar Triangles
5.1 Ratios, Rates And Proportions 5.2 Similar Polygons 5.3 Proving Triangles Similar 5.4 The Pythagorean Theorem 5.5 Special Right Triangles 5.6 Segments Divided Proportionally 5.CR Review Exercises 5.CT Test Section5.2: Similar Polygons
Problem 1E: a What is true of any pair of corresponding angles of two similar polygons? b What is true of any... Problem 2E: a Are any two quadrilaterals similar? b Are any two squares similar? Problem 3E: a Are any two regular pentagons similar? b Are any two equiangular pentagons similar? Problem 4E: a Are any two equilateral hexagons similar? b Are any two regular hexagons similar? Problem 5E: In Exercises 5 and 6, refer to the drawing. a Given that AX,BT, and CN, write a statement claiming... Problem 6E: In Exercises 5 and 6, refer to the drawing. a If ABCXTN, which angle of ABC corresponds to N of XTN?... Problem 7E Problem 8E: Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude... Problem 9E: Given: MNPQRS,mM=56,mR=82,MN=9,QR=6,RS=7,MP=12 Find: a mN c NP b mP d QS Problem 10E: Given: ABCPRC,mA=67,PC=5,CR=12,PR=13,AB=26 Find: a mB b mRPC c AC d CB Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?... Problem 12E: Using the names of property from Exercise 11, identify the property illustrated by each statement: a... Problem 13E: If the drawing, HJKFGK. If HK=6,KF=8, and HJ=4, find HJ. Problem 14E: If the drawing, HJKFGK. If HK=6,KF=8, and FG=5, find HJ. Problem 15E: Quadrilateral ABCD quadrilateral HJKL. If mA=55, mJ=128 and mD=98, find mK. Problem 16E: Quadrilateral ABCD quadrilateral HJKL. If mA=x,mJ=x+50,mD=x+35 and mK=2x45, find x. Problem 17E: Quadrilateral ABCD quadrilateral HJKL. If AB=5,BC=n,HJ=10, and JK=n+3, find n. Problem 18E: Quadrilateral ABCD quadrilateral HJKL. If mD=90,AD=8,DC=6, and HL=12, find the length of diagonal HK... Problem 19E: Quadrilateral ABCD quadrilateral HJKL. If mA=2x+4,mH=68, and mD=3x6, find mL. Problem 20E: Quadrilateral ABCD quadrilateral HJKL. If mA=mK=70, and mB=110,.What types of quadrilaterals are... Problem 21E: In Exercises 21 to 24, ADEABC. Given: DE=4,AE=6,EC=BC Find: BC Problem 22E: In Exercises 21 to 24, ADEABC. Given: DE=5,AD=8,DB=BC Find: AB HINT: Find DB first. Problem 23E: In Exercises 21 to 24, ADEABC. Given: DE=4,AC=20,EC=BC Find: BC Problem 24E: In Exercises 21 to 24, ADEABC. Given: AD=4,AC=18,DB=AE Find: AE Problem 25E: Pentagon ABCDE pentagon GHJKL not shown, AB=6, and GH=9. If the perimeter of ABCDE is 50, find the... Problem 26E: Quadrilateral MNPQ quadrilateral WXYZ not shown, PQ=5, and YZ=7. If the longest side of MNPQ is of... Problem 27E Problem 28E: A technical drawing shows the 312 ft lengths of the legs of a babys swing by line segments 3 in.... Problem 29E: In Exercises 29 to 32, use the fact that triangles are similar. Rhydian while walking away from a... Problem 30E: In Exercise 29 to 32, use the fact that triangles are similar. With 100 ft of string out, a kite is... Problem 31E: In Exercise 29 to 32, use the fact that triangles are similar. While admiring a rather tall tree,... Problem 32E: In Exercise 29 to 32, use the fact that triangles are similar. As a garage door closes, light is... Problem 33E: In the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF,... Problem 34E: In the drawing, ABDCEF. Suppose that transversals l and m are also parallel. D and C are the... Problem 35E Problem 36E: Given RST, a second triangle (UVW) is constructed so that UV=2(RS),VW=2(ST), and WU=2(RT). a What is... Problem 37E: Henry watches his 32 inch diagonal LCD television while sitting on the couch 7 feet away. When he... Problem 38E Problem 39E Problem 40E: For Exercises 39 to 40, use intuition to from a proportion based on the drawing shown. A square with... Problem 3E: a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?
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The triangle are similar.
Transcribed Image Text: The triangles are similar. Choose the theorem (AA, SAS, SSS).
12.
27
22.5
B
30
13.5
45
Your answer:
O AA
SAS
SSS
可
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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