ALGEBRA For each triangle, find x and the measure of each side. 1. LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2.
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1 Find each measure ALGEBRA For each triangle, find x and the measure of each side 4 1 LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2 a x = 1; LM = 1, LN = 3, MN = 4 b x = 03; LM = 29, LN = 29, MN = 05 c x = 3; LM = 7, LN = 7, MN = 13 d x = 3; LM = 7, LN = 7, MN = 7 Find each measure 2 a c Refer to the figure below b d a c Refer to the figure isosceles triangles b d are all 5 If, name two congruent angles a b c d Find the measure of each numbered angle 6 3 If, what is? a 45 b 55 c 65 d 35 a b c d
2 Identify the congruent triangles in the figure 11 What is the missing reason in line 5 of the two Given:, K is the midpoint of and, 7 a b c d 8 If ABC is isosceles with vertex angle B, and, which theorem or postulate can be used to prove? a SSS b SAS c ASA d AAS 9 If and, which theorem or postulate can be used to prove? a AAS b ASA c SAS d SSS 10 If, which segment in EGS corresponds to? a b c d 1 1 Given 2 K is the midpoint of and 2 Given 3, 3??? 4 4 Given 5 5??? 6??? 6 Third Angles 7 7 Definition of C a Vertical angles are congruent b c CPCTC d Definition of midpoint Identify the type of congruence 12 a translation only b not a congruence c rotation only d reflection or translation
3 13 What is the length of the sides of this equilateral triangle? 15 What is the missing statement in line 6 of the two Given:, K is the midpoint of and, a 42 b 30 c 15 d 3 14 What is the missing reason in line 2 of the two Given:,,, 1, 1 Given 2 2??? 3, 3 Given 4??? 4 Third Angles 5 5 Definition of C a Transitive Property of Congruence b Reflexive Property of Congruence c d 1 1 Given 2 K is the midpoint of and 2 Given 3, 3??? 4 4 Given 5 5??? 6??? 6 Third Angles 7 7 Definition of C a Vertical angles are congruent b c d Definition of midpoint Use the figure below to answer the following questions 16 What is m 3? a 40 b 70 c 90 d 110
4 17 Determine whether of the vertices Explain 20 given the coordinates 18 a rotation or b translation only translation c reflection only d not a congruence a rotation only b not a congruence c translation d reflection or translation only a Yes; Two sides of triangle PQR and angle PQR are the same measure as the corresponding sides and angle of triangle STU b Yes; Each side of triangle PQR is the same length as the corresponding side of triangle STU c No; One of the triangles is obtuse d No; Each side of triangle PQR is not the same length as the corresponding side of triangle STU Use the proof to answer the following questions Given: 1 1 Given 2 2 Given 3 3 Reflexive Property 4 4 ( ) 5 5 ( ) 21 What is the reason for statement 5? a Alt int are b Same side interior angles c Corr angles are d CPCTC 19 What is the classification of a triangle with vertices A(3, 3), B(6, 2), C(0, 2) by the length of its sides? a isosceles b scalene c equilateral d right
5 22 25 What are the lengths of the sides of this equilateral triangle? a 25 b 5 c 15 d 20 Identify the congruent triangles in the figure a not a congruence b reflection or translation c rotation only d reflection only 26 Identify the congruent triangles in the figure a b c d Identify the type of congruence a b c d 24 The rhombus QRST is made of two congruent isosceles triangles Given m QRS = 34, what is the measure of S? a reflection b translation c rotation d not a congruence a 56 b 73 c 112 d How would ABC with vertices A(4, 1), B(2, 1), and C( 2, 1) be classified based on the length of its sides? a equilateral b isosceles c scalene d right
6 29 Quadrilateral MNQP is made of two congruent triangles bisects N and P In the quadrilateral, m N = 50 and m P = 100 What is the measure of M? 32 What is the missing statement in line 4 of the two Given:,,, a 25 b 50 c 60 d Which triangles are congruent in the figure? a b c d Identify the type of congruence 31 1,, 1 Given 2 2??? 3 3 Given 4??? 4 Third Angles 5 5 Definition of a b Right angles are congruent c d Identify the type of congruence 33 a translation b rotation only only c reflection only d reflection or translation a rotation b not a congruence c reflection d translation
7 Identify the congruent triangles in the figure 34 a b c d 35 a b c d 36 If, which angle in corresponds to? a L b E c K d A
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