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NAMEDATE4-1PERIODSkills PracticeClassifying TrianglesClassify each triangle as acute, equiangular, obtuse, or right.2.60 60 60 4.95 3.45 90 50 5.50 80 40 40 70 6.50 30 50 55 55 100 Classify each triangle as equilateral, isosceles, or scalene.7. ABE8DC10. DBC11. ALGEBRA Find x and the length ofeach side if ABC is an isosceles triangle with AB BC.12. ALGEBRA Find x and the length of eachside if FGH is an equilateral triangle.#4x - 3x 2"B8 28. EDB9. EBC9AECopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Lesson 4-11.(3x 102x 54x 1' 13. ALGEBRA Find x and the length ofeach side if RST is an isosceles triangle with RS TS.5x - 8)14. ALGEBRA Find x and the length of eachside if DEF is an equilateral triangle.&39x 23x - 15x - 212x 646x 85%Chapter 477x - 39'Glencoe Geometry
NAMEDATE4-1PERIODPracticeClassifying TrianglesClassify each triangle as acute, equiangular, obtuse, or right.1.2.100 40 40 3.85 30 65 90 60 30 Classify each triangle in the figure at the right by its angles and sides.B4. ABD5. ABCEA6. EDCDC7. BDCALGEBRA For each triangle, find x and the measure of each side.8. FGH is an equilateral triangle with FG x 5, GH 3x - 9, and FH 2x - 2.Find the measures of the sides of KPL and classify each triangle by its sides.10. K(-3, 2), P(2, 1), L(-2, -3)11. K(5, -3), P(3, 4), L(-1, 1)12. K(-2, -6), P(-4, 0), L(3, -1)13. DESIGN Diana entered the design at the right in a logo contestsponsored by a wildlife environmental group. Use a protractor.How many right angles are there?Chapter 48Glencoe GeometryCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.9. LMN is an isosceles triangle, with LM LN, LM 3x - 2, LN 2x 1, andMN 5x - 2.
NAMEDATE4-1PERIODStudy Guide and InterventionClassifying TrianglesClassify Triangles by AnglesOne way to classify a triangle is by the measuresof its angles.If all three of the angles of a triangle are acute angles, then the triangle is an acute triangle. If all three angles of an acute triangle are congruent, then the triangle is an equiangular triangle. If one of the angles of a triangle is an obtuse angle, then the triangle is an obtuse triangle. If one of the angles of a triangle is a right angle, then the triangle is a right triangle.Examplea.Lesson 4-1 Classify each triangle.A60 BCAll three angles are congruent, so all three angles have measure 60 .The triangle is an equiangular triangle.Eb.120 35 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.D25 FThe triangle has one angle that is obtuse. It is an obtuse triangle.c.G90 H60 30 JThe triangle has one right angle. It is a right triangle.ExercisesClassify each triangle as acute, equiangular, obtuse, or right.1. K2. N30 67 LO3.Q60 120 90 23 4.PMR5.TW65 65 Chapter 460 60 VXSB6.60 45 50 U30 90 45 5YF28 92 DGlencoe Geometry
NAMEDATE4-1PERIODStudy Guide and Intervention(continued)Classifying TrianglesClassify Triangles by SidesYou can classify a triangle by the number of congruentsides. Equal numbers of hash marks indicate congruent sides. If all three sides of a triangle are congruent, then the triangle is an equilateral triangle. If at least two sides of a triangle are congruent, then the triangle is an isosceles triangle.Equilateral triangles can also be considered isosceles. If no two sides of a triangle are congruent, then the triangle is a scalene triangle.Examplea.Classify each triangle.b.Hc.NT23LRJTwo sides are congruent.The triangle is anisosceles triangle.XPAll three sides arecongruent. The triangleis an equilateral triangle.12V15The triangle has no pairof congruent sides. It isa scalene triangle.ExercisesClassify each triangle as equilateral, isosceles, or scalene.2.A2G4.181C 3K18QI32x8xCW1712185. BSM3.Gx6. DAx32xO19ExFU7. ALGEBRA Find x and the length of eachside if RST is an equilateral triangle.8. ALGEBRA Find x and the length ofeach side if ABC is isosceles withAB BC.#32x 24Chapter 45x - 43x4y3y 25"63y Glencoe GeometryCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1.
NAME4-1DATEPERIODWord Problem PracticeClassifying Triangles4. BOOKENDS Two bookends are shapedlike right triangles.The bottom side of each triangle isexactly half as long as the slanted sideof the triangle. If all the books betweenthe bookends are removed and they arepushed together, they will form a singletriangle. Classify the triangle that canbe formed as equilateral, isosceles, orscalene.2. PAPER Marsha cuts a rectangular pieceof paper in half along a diagonal. Theresult is two triangles. Classify thesetriangles as acute, right, or obtuse.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.5. DESIGNS Suzanne saw this pattern ona pentagonal floor tile. She noticed manydifferent kinds of triangles were createdby the lines on the tile.3. WATERSKIING Kim and Cassandraare waterskiing. They are holding on toropes that are the same length and tiedto the same point on the back of a speedboat. The boat is going full speed aheadand the ropes are fully taut.BGAHFCIJEDKima. Identify five triangles that appear tobe acute isosceles triangles.CassandraKim, Cassandra, and the point wherethe ropes are tied on the boat form thevertices of a triangle. The distancebetween Kim and Cassandra is neverequal to the length of the ropes. Classifythe triangle as equilateral, isosceles, orscalene.Chapter 4b. Identify five triangles that appear tobe obtuse isosceles triangles.9Glencoe GeometryLesson 4-11. MUSEUMS Paul is standing in front ofa museum exhibition. When he turns hishead 60 to the left, he can see a statueby Donatello. When he turns his head60 to the right, he can see a statue byDella Robbia. The two statues and Paulform the vertices of a triangle. Classifythis triangle as acute, right, or obtuse.
PDF Pass Chapter 4 5 Glencoe Geometry Study Guide and Intervention Classifying Triangles Classify Triangles by Angles One way to classify a triangle is by the measures of its angles. If all three of the angles of a triangle
