Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D
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1 hapter 03 Test Name: ate: 1 omplete the congruence statement. 2 omplete the congruence statement. 3 If, which of the following can you NOT conclude as being true? opyright by Pearson Education Page 1 of 16
2 hapter 03 Test 4 Which postulate or theorem, if any, could you use to immediately prove the congruent? If the triangles cannot be proven congruent, choose not possible. SSS S SS not possible 5 What other information do you need in order to prove the triangles congruent using the SS ongruence Postulate? opyright by Pearson Education Page 2 of 16
3 hapter 03 Test 6 Justify the last two steps of the proof. Given: and Prove: Proof: Given Given Reflexive Property of ; SS Symmetric Property of ; SSS Symmetric Property of ; SS Reflexive Property of ; SSS 7 What else must you know to prove the triangles congruent by S? opyright by Pearson Education Page 3 of 16
4 hapter 03 Test 8 What else must you know to prove the triangles congruent by SS? opyright by Pearson Education Page 4 of 16
5 hapter 03 Test 9 Write the missing reasons to complete the proof. Given:,, and Prove: Statement Reason Given Given Given efinition of congruent segments 5. 5.? Segment ddition Postulate efinition of congruent segments 8. 8.? Step 5: ddition Property of Equality Step 8: SS Step 5: Subtraction Property of Equality Step 8: SS Step 5: ddition Property of Equality Step 8: S Step 5: ddition Property of Equality Step 8: SSS opyright by Pearson Education Page 5 of 16
6 hapter 03 Test 10 From the information in the diagram, can you prove? Explain. yes, by S yes, by yes, by SS no opyright by Pearson Education Page 6 of 16
7 hapter 03 Test 11 What is the missing reason in the two-column proof? Given: bisects and bisects Prove: Statements 1. bisects Reasons 1. Given efinition of angle bisector Reflexive property 4. bisects 4. Given efinition of angle bisector 6. 6.? S Theorem SSS Postulate S Postulate SS Postulate opyright by Pearson Education Page 7 of 16
8 hapter 03 Test 12 Which postulate or theorem, if any, could you use to prove congruent? If not enough information is given, choose not enough information. SS S S not enough information 13 Which postulate or theorem, if any, could you use to prove the two triangles congruent? If not enough information is given, choose not enough information. S S HL not enough information 14 Which postulate or theorem, if any, could you use to prove the two triangles congruent? If not enough information is given, choose not enough information. S SS SSS not enough information opyright by Pearson Education Page 8 of 16
9 hapter 03 Test 15 What additional information will allow you to prove the triangles congruent by the HL Theorem? 16 If, what are the congruent corresponding parts? Sides:,, ngles:,, Sides:,, ngles:,, Sides:,, ngles:,, Sides:,, ngles:,, 17 The two triangles are congruent as suggested by their appearance. Find the value of c opyright by Pearson Education Page 9 of 16
10 hapter 03 Test 18 What is the value of x? Which overlapping triangles are congruent by S? 20 Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SS, S, S, or HL. FIH FIH FIH FIH GHI by HL. GHI by SS. GHI by SSS. HGI by SS. opyright by Pearson Education Page 10 of 16
11 hapter 03 Test 21 Explain how you can use SSS, SS, S, or S with the definition of congruence to prove the statement true. by S, so VTY WYX by def of. VTY WYX by def., so by S. VTY WYX by S, so by def.. by def. of, so VTY WYX by S. 22 Write a paragraph explaining how to deduce what you want to prove from the given information. Given: Prove: PSQ RQS Since PSQ and RQS are right angles. Since all right angles are congruent, PSQ RQS. so PSQ RQS by SS. Since so PSQ RQS by HL. PSQ and RQS are right triangles. Since PSQ and RQS are right angles. Since all right angles are congruent, PSQ RQS. so PSQ RQS by SS. opyright by Pearson Education Page 11 of 16
12 hapter 03 Test 23 Use the composition, shown below. Which side has an equal measure to? opyright by Pearson Education Page 12 of 16
13 hapter 03 Test 24 Use the figures below. Write a sequence of rigid motions that maps RST to EF. opyright by Pearson Education Page 13 of 16
14 hapter 03 Test 25 Use the figures below. Write a sequence of rigid motions that maps to. opyright by Pearson Education Page 14 of 16
15 hapter 03 Test 26 In the diagram,. What is a congruence transformation that maps onto LMN? 27 Which figures are congruent? and and and and opyright by Pearson Education Page 15 of 16
16 hapter 03 Test 28 In an -frame house, the two congruent sides extend from the ground to form a 34º angle. What angle does each side form with the ground? 156º 146º 73º 78º 29 Two sides of an equilateral triangle have lengths x + 2 and 2x Which could be the third side? 2x x none of the above 30 certain isosceles triangle has a base that is half the length of one of the legs. If the lengths of the legs are 3y and 12 y, what is the length of the base? 4y 2y opyright by Pearson Education Page 16 of 16
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