15 all the angles of an equilateral triangle are

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15. All the angles of an equilateral triangle are congruent. 16. The complement and supplement of an angle differ by 90 o . 17. The sum of the lengths of two sides of a triangle minus the length of the third side is a positive number. PART 5 : Complete each of the following statements by filling in the blanks: 1. A(n) ________________________ is drawn from a vertex of a triangle to the midpoint of the opposite side. 2. A(n) _________________________ is drawn from a vertex of a triangle perpendicular to the opposite side. 3. The contrapositive of conditional statement a b : is ___________. 4. Perpendicular lines have _____________ intersection point(s). 5. Supplementary angles sum to ___________________. 6. Acute angles have measures between ________________________.
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Midterm Review – Answer Key Part 1 : 1.) FD uuur 2.) FB uuur and FC uuur 3.) No 4.) Yes 5.) 4 < BF < 20 6.) BFD DFE EFC 2245∠ 2245∠ 7.) 88 o m BAC = 8.) Yes 9.) No 10.) No 11.) Point F 12.) EFC 13.) No solution 14.) BC uuur 15.) ABC V 16.) No 17a.) 105 o 4’ 0” 17b.) 97 o 32’ 45” 18.) 3 63 o m ∠ = 19a.) 150 o 19b.) 45 o 19c.) 140 o 20.) 2 < x < 8 21.) Converse : If two angles are congruent, then they are straight. (False) Inverse : If two angles are not straight, then they are not congruent. (False) Contrapositive : If two angles are not congruent, then they are not straight. (True) 22.) Contrapositive 23.) Comp. = 35 o 24.) Smaller angle = 36 o 25.) Angle = 20 o ; Comp. = 70 o ; Supp. = 160 o 26.) 139 o m APD = 27.) 8 17.5 x < < 28.) x = 26; y = 6 29a.) Acute 29b.) ; ; EC DC DE 30.) 140 o m MAB = 31a.) Scalene 31b.) ; ; C A B 32.) AC = 27 33a.) Yes 33b.) No 33c.) No 33d.) Yes 33e.) No 34.) 51 o m PMQ = 35.) No (Same-side interior angles are not supplementary!) 36.) We are given , , , O OB OF AB CD 2245 e and . EF CD Since all radii of a circle are congruent, . OA OE 2245 Since AB CD and , EF CD ABO and EFO are right. Since ABO and EFO are both right, . ABO EFO 2245∠ By HL, . ABO EFO 2245 V V By CPCTC, . AB EF 2245
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37.) S1 : . WX VX 2245 R1 : Given. S2 : . WY VZ 2245 R2 : Given. S3 : . XY XZ 2245 R3 : 2245 segments + 2245 segments 2245 segments. S4 : . X X 2245∠ R4 : Reflexive Property. S5 : . XYV XZW 2245 V V R5 : SAS. S6 : . Y Z 2245∠ R6 : CPCTC. 38.) S1 : . PR ST 2245 R1 : Given. S2 : . NP VT 2245 R2 : Given. S3 : . P T 2245∠ R3 : Given. S4 : . PS TR 2245 R4 : 2245 segments + same segment 2245 segments. S5 : . NPS VTR 2245 V V R5 : SAS. S6 : . N V 2245∠ R6 : CPCTC. 39.) Sometimes 40.) Always 41.) Never 42.) Never 43.) Always 44.) 5 , 2 12 - ÷ 45.) (20, -13) 46.) 3 n = ± 47a.) (4, 1) 47b.) 2 7 47c.) 4 5 47d.) No 48.) x = 132 o 49.) S1 : WXYZ is a parallelogram. R1 : Given. S2 : . QZ PX 2245 R2 : Given. S3 : . WX YZ 2245 R3 : Opposite sides of a parallelogram are congruent. S4 : // . WX YZ R4 : Opposite sides of a parallelogram are parallel. S5 : . WXP YZQ 2245∠ R5 : // lines alt. int. angles are congruent. S6 : . WXP YZQ 2245 V V R6 : SAS. S7 : . WPX YQZ 2245∠ R7 : CPCTC. S8 : // . WP QY R8 : Alt. int. angles are congruent // lines. 50.) S1 : ABDF is a parallelogram. R1 : Given.
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S2 : 1 2. ∠ 2245∠ R2 : Given. S3 : . AB DF 2245 R3 : Opposite sides of a parallelogram are congruent. S4 : . B F 2245∠ R4 : Opposite angles of a parallelogram are congruent. S5 : . ABC DFG 2245 V V R5 : ASA.
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