Homework Worksheets: Chapter 7 HW#36: Problems #1-17

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1 Homework Worksheets: Chapter 7 HW#36: Problems # ) Which of the following in an eample of an undefined term:. ray B. segment C. line D. skew E. angle 3.) Identify a countereample to the given statement. ll quadrilaterals are equilateral.. square B. rectangle C. rhombus D. heagon E. Both and C ) If = then = B. -9 C. D E. not enough information to conclude 7.) The given statement is true. Which other statement must be true? If a = b, then y.. If y, then a = b. B. If a b, then = y. C. If a b, then y. D. If = y, then a b. E. If a = b, then = y..) Identify the converse of the given statement. If ΔBC is an obtuse triangle, then it has one obtuse angle.. If Δ BC has one obtuse angle, then it is an obtuse triangle. B. If ΔBC does not have one obtuse angle, then it is not an obtuse triangle. C. If ΔBC is not an obtuse triangle, then it does not have one obtuse angle. D. If ΔBC is an obtuse triangle, then it has one obtuse angle. E. None of the above. 4.) regular polygon has 10 sides. Find the sum of the measures of the interior angles.. 36 B. 144 C. 360 D E ) Similar polygons have the same but not necessarily the same.. sides; angles B. ratios; proportions C. angles; sides D. proportions; ratios E. not enough information to conclude 8.) Quadrilateral BCD is a parallelogram. If consecutive angles are congruent, which statement must be true?. BCD is a square B. BCD is a rectangle C. BCD is a rhombus D. BCD is a trapezoid E. BCD is an isosceles trapezoid For #9-11, reduce. 9.) ± ) 5± ) 3 ± 7 6 MORE ON THE NEXT PGE For #1-17, solve for :

2 1.) = 13.) 3 = ) 0 = 15.) 6 + = 16.) = 17.) 6 + 7= 5

3 HW #37: Problems # ) If Δ BC and Δ XYZ are two triangles such that B = BC, which of the following would be XY YZ sufficient to prove that the triangles are similar?. X B. B Y C. C Z D. X Y 0.) Which triangles must be similar?. two obtuse triangles B. two scalene triangles with congruent bases C. two right triangles D. two isosceles triangles with congruent verte angles E. not enough information to conclude 19.) Quadrilateral MNOP is a parallelogram. Name the property of parallelograms that justifies the statement: NO = PM. Opposite sides of a parallelogram are congruent. B. Opposite angles of a parallelogram are congruent. C. Diagonals of a parallelogram bisect each other. D. Opposite sides of a parallelogram are parallel. E. Consecutive sides of a parallelogram are congruent. 1.) Find each quantity for a regular heagon: Sum of Eterior ngles: Each Eterior ngle: Each Interior ngle: Sum of Interior ngles: For #-4,Write the equation of a line in slope intercept form given:.) Slope = 3.) Contains the points ( -, 5) and contains 3 and ( 3, -4) the point ( -6, 4) 4.) Has an -intercept of 3 and a y-intercept of -4. For # 5-7 Write the equation of a line in standard form given: 5.) Slope = - and contains the point ( 4, -5) 6.) Contains the points ( -3, 5) and (, -1) 7.) Is perpendicular to 1 y = 3 and contains the point ( 3, -4) For #8-30, simplify: 8.) ( 6)( 3 10 ) 9.) ( 4 3 ) 30.) ( 5) + ( 3 )

4 HW #38: Problems # ) Given: B and CD intersect at point E; 1 3.) What is the value of in the figure? 130 D 1 3 E 4 Which of the following can be used to prove that ΔED ΔBEC?. B. SSS C. S D. SS B C. 0 B. 5 C. 45 D ) The supplement of an right angle is a(n) angle:. obtuse B. acute C. right D. straight E. not physically possible 35.) Which of the following facts would be sufficient to prove that triangles BC and DBE are similar?. CE and BE are D congruent B. CE is a right angle C. C and DE are C E B parallel D. and B are congruent 34.) Which quadrilateral is equiangular but not equilateral?. rectangle B. rhombus C. square D. trapezoid E. parallelogram 36.) ll of the following proportions are correct ecept: b a c d. a c a b = B. = b d c d C. a c d b = D. = d b c a E. a c = a+ b c+ d For questions 37-45, solve each using quadratic formula. 37.) 38.) = = 0

5 MORE ON THE NEXT PGE 39.) 4 + 9= 1 40.) + 4= ) = 0 4.) + = ) + = 44.) 6 4 = 5 45.) + = 0

6 HW#39: Problems # ) Solve for and y: y ) Solve for b: 11b + 9 1a b a ) What coordinates of make BCD a rhombus? y B(c + 3a, 3b) 49.) If a triangle has sides with lengths 1, 15, and 0, what kind of triangle is it?. acute B. obtuse C. right D. equilateral E. None of these D(a,b) C (c, b ). (a + c, 3b) B. (c, 3a + 3b) C. (4a, 3b) D. (a + c, a + b) E. (a, b) 50.) Which of the following best describes a countereample to the assertion below: Two lines in a plane always intersect in eactly one point.. coplanar lines B. parallel lines C. perpendicular lines D. intersecting lines 5.) right triangle s hypotenuse has length 5. If one leg has length, what is the length of the other leg? 51.) Pentagon FGHJK is congruent to pentagon PQRST. Which side is congruent to FK?. PQ B. QR C. ST D. PT 53.) What is the value of in the triangle below? B 10 C. B. 3 C. 1 D. 9 E. 7 MORE ON THE NEXT PGE. 5 B. 5 C D. 10 E. 0

7 54.) If l 1 m, which statement must be true?. 1 B. 1 is the complement of C. 1 is the supplement of D. 1 and are right angles l m 55.) From which given information can you conclude that RSTW is a parallelogram?. RS WT, RS ST B. RS ST, RW WT C. RS WT, RW ST D. RZ TZ, SZ WZ For # Solve each using the quadratic formula 56.) 3+ 4= 0 57.) 7+ 6= 0 58.) + 4 = 0 59.) 4 = ) = 61.)

8 HW#41: Midterm Review 8.) Complete the chart for regular polygons: # of sides 6 8 Sum of eterior angles (7+37) For questions 1-4, find the value of the variable(s) y (5-10) (4+4) (5y-80) Name: P 3. L m LMN (11-9) = 140 (5+5) 4. M N (+) (+1) k j ) and 6 are angles and their measures are. If m = 7 6 and m 6= 9 0, solve for, m and m 6. j k Diagram refers to #5-7 6.) 5 and 4 are angles and their measures are. If m 5= 13y 3and m 4= 4y+ 16, solve for y, m 5 and m 4. 7.) 3 and 5 are angles and their measures are. If m 5= 150 a and m 3= 1a+ 10, solve for a, m 5 and m 3.

9 Each eterior angle 7 Each interior angle 144 Sum of interior angles ) Find the equation (in slope-intercept form) of the line that has a slope of -4 and passes through the point (-3, 1). 10.) Find the equation (in standard form) of the line that is perpendicular to y = 5 and passes through the point (-3, 1) 11.) In Δ XYZ, X Y. If XZ = 3a+ 1, YZ = 7a 11, and XY = 5a, find XY. 1.) BC is equilateral. If m = + y and m B= 4 y, solve for and y. 13.) PQRS is a parallelogram; solve for the variables. Q 64 a b 7 R 14.) trapezoid and its median is shown. Solve for : P 3 0 y 5 S 15.) Write the converse, inverse, and contrapositive of the statement below. Then state whether each statement is true or false. If a quadrilateral is a square, then it has four right angles. Converse: True or False? Inverse: True or False? Contrapositive: True or False? ) Given: F is the midpoint of E and DB E B Prove: E F 1.) Statements 1.) D Reasons.).) 3.) 3.) 4.) Δ Δ 5.) 4.) 5.)