Ch.7 Congruence and Coordinate Geometry Review

CL 7-112 a. Decide if each triangle a is congruent to ΔABC. If you decide that they are congruent, write a congruence statement relating the triangles.

• ΔABC ≅ ΔXYZ by ASA ≅

• Not Congruent; they have different angles

• ΔABC ≅ ΔXZY by ASA ≅

• Not Congruent; the side length is between different angles

CL 7-112 b. Decide if each triangle b is congruent to ΔABC. If you decide that they are congruent, write a congruence statement relating the triangles.

• ΔABC ≅ ΔLMN by ASA ≅

• Not Congruent; they have different angles

• ΔABC ≅ ΔNLM by AAS ≅

• Not Congruent; the have different side lengths

CL 7-112 c. Decide if each triangle c is congruent to ΔABC. If you decide that they are congruent, write a congruence statement relating the triangles.

• ΔABC ≅ ΔPQR by ASA ≅

• Not Congruent; they have different angles

• ΔABC ≅ ΔQPR by AAS ≅ or ASA ≅

• Not Congruent; the have different side lengths

CL 7-113 a. Decide if triangle a is congruent. If it is congruent, justify your conclusion using a triangle congruence condition. If it is not congruent, explain why not.

• Congruent by SSS ≅

• Congruent by SAS ≅

• Not enough information; need an angle

• Not enough information; need a side

CL 7-113 b. Decide if triangle b is congruent. If it is congruent, justify your conclusion using a triangle congruence condition. If it is not congruent, explain why not.

• Congruent by SSS ≅

• Congruent by SSA ≅

• SSA is not a congruence condition

• Congruent by SAS ≅

CL 7-113 c. Decide if triangle c is congruent. If it is congruent, justify your conclusion using a triangle congruence condition. If it is not congruent, explain why not.

• Congruent by SSS ≅

• Congruent by SSA ≅

• SSA is not a congruence condition

• Congruent by SAS ≅

CL 7-114. Write an equation for the line that passes through the points (–5, 4) and (3, –2).

• y = 3/4x+1/4

• y = 3/4x-1/4

• y = -3/4x+1/4

• y = -3/4x-1/4

CL 7-115. The triangles are similar. Solve for x.

• x = 7

• x = 10

• x = 2.5

• x = 7.5

CL 7-116 a. The triangles are congruent, justify your conclusion by selecting all the true statements.

• BG≅GD

• BG≅DG

• IG≅GO

• ∠IGB≅∠OGD

CL 7-116 b. The triangles are congruent, justify your conclusion by selecting all the true statements.

• ΔIBG≅ΔABG

• BG≅BG

• ΔIBG≅ΔAGB

• ∠IGB≅∠AGB