Honors Geometry Name: ____________________________ Date: ______________ Hour: _______ Chapter 4 Review 1. Classify the triangles by their angles and sides. a. △ABE b. △EDB c. △EBC d. △DBC 2. Find y and the length of each side if △ABC is isosceles with AB = BC, AB=4y, BC=3y+2 and AC=2y. 3. Make sure you know and can use these theorems: a. Triangle Sum Theorem - b. Exterior Angle Theorem – c. Third Angle Theorem – d. Postulates/Theorems that can be used to prove triangles are congruent: e. Postulates/Theorems that can’t be used to prove triangles are congruent: f. Isosceles Triangle Theorem – g. Converse of Isosceles Triangle Theorem - 4. Find the measure of each angle in the picture.
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Mrs. Foldesi - Homemrsfoldesi.weebly.com/.../9/10097699/chapter_4_review_h.docx · Web view4. measure of angle 1 = 60, measure of angle 2 = 60 and measure of angle 3 = 120 5. Rotation,
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b. Obtuse, Isoscelesc. Right, Scalened. Equilateral, Equiangular
2. y=2, AB=8, BC=8 and AC=44. measure of angle 1 = 60, measure of angle 2 = 60 and measure of angle 3 = 1205. Rotation, AB = 2sqrt2, BC = 2sqrt2, CA = 4, DE =2sqrt2, EF = 2sqrt2, FD = 4. The triangles are congruent by SSS.6. a. Not Possible
b. SAS or SSS or HLc. SSS
7. ∠D ≅ ∠F, ¿ bisects ∠DEF. (Given) Segment GE is congruent to segment GE (Reflexive Prop.Angle DEG is congruent to angle GEF(Def. of Angle Bisector)Triangle DEG is congruent to triangle FEG (AAS)Segment DG is congruent to segment FG (CPCTC)8. Check flow proof with Ms. Gerst9. x = 9, FG = GH = FH = 3710.