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Get 4 5 Practice Isosceles And Equilateral Triangles

Name Class 4-5 Date Practice Form K Isosceles and Equilateral Triangles Complete each statement. Explain why it is true. 1. AB 9 A 2. /BDE 9 Answers may vary. Sample AC the legs of an isosceles triangle are congruent. C B the base angles of an isosceles triangle are congruent. 3. /CBE 9 /BCE D E F lBEC all the angles of an equilateral triangle are congruent. Algebra Find the values of x and y. 4. 90 30 To start determine what types of triangles are shown in the diagram* Then use an equation to find x. x Because two sides are marked congruent in both triangles the triangles are both 9. isosceles y u 45 1 45 1 x 5 180 15 120 4x Use the properties of isosceles triangles to complete each statement. 7. If m/ADB 5 54 then m/CBD 5 9. 72 8. If AB 5 8 then BD 5 9. 8 9. You are asked to put a V-shaped roof on a house. The slope of the roof is 408. What is the measure of the angle needed at the vertex of the roof 100 10. Reasoning The measure of one angle of a triangle is 30. Of the two remaining angles the larger angle is four times the size of the smaller angle. Is the triangle isosceles Explain* Yes because the measure of the smaller angle is 30. Prentice Hall Foundations Geometry Teaching Resources Copyright by Pearson Education Inc* or its affiliates. All Rights Reserved* Practice continued For Exercises 11 and 12 use the diagram to complete each congruence statement. Then list the theorem or corollary that proves the statement. The first one has been done for you. /B 9 Answer /BAC or /ACB Corollary to Theorem 4-3 11. AD 9 Answers may vary. Sample AC or DC Corollary to Theorem 4-4 12. /E 9 Answers may vary. Sample lDCE or lCDE Then list the theorem or corollary that proves the statement. 13. PR 9 QR Converse of the Isosceles Triangle Theorem P S U 14. /RUV 9 lRVU Isosceles Triangle Theorem Q 15. SR 9 TR Converse of the Isosceles T 16. Reasoning An equilateral triangle and an isosceles triangle share a common side as shown at the right. What is the measure of the vertex angle Explain* 120 the congruent angles in the diagram both have a measure of 60. The base angles of the isosceles triangle have a measure of 30 because one is the other angle in a right triangle. 1. AB 9 A 2. /BDE 9 Answers may vary. Sample AC the legs of an isosceles triangle are congruent. C B the base angles of an isosceles triangle are congruent. 3. /CBE 9 /BCE D E F lBEC all the angles of an equilateral triangle are congruent. Algebra Find the values of x and y. 3. /CBE 9 /BCE D E F lBEC all the angles of an equilateral triangle are congruent. Algebra Find the values of x and y. 4. 90 30 To start determine what types of triangles are shown in the diagram* Then use an equation to find x. 4. 90 30 To start determine what types of triangles are shown in the diagram* Then use an equation to find x. x Because two sides are marked congruent in both triangles the triangles are both 9. isosceles y u 45 1 45 1 x 5 180 15 120 4x Use the properties of isosceles triangles to complete each statement.

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