Geometry Questions

21 Name all angles which are congruent c d O a and d b and c e and h g and f a and e b and g c and f d and h O a and c b and d e and f g and h a and b c and d e and g f and h

C 23 degrees side a 14 side b 12 find angle A angle B and side c

Let P x be a polynomial with real coefficients of the 5 th degree The polynomial P x can have exectly four roots with positive real parts The polynomial P x can have exactly four roots with nonzero imaginary parts The polynomial P x can have all roots with nonzero imaginary and nonzero real parts

Find the coordinates of the circumcenter of ABC with vertices A 4 0 B 8 3 and C 4 3 6 14 5 O 0 1 5 O 2 1 5 O 6 1 1

Use the Root Test to determine the convergence or divergence of the series If you need to use or 00 enter INFINITY or INFINITY respectively 8 1 37 n 1 lim Vla 1 3 81x converges diverges O inconclusive

Find BC 25 B 3x 4 D 4x 5 C OBC 25 BC 62 BC 9 25 OBC 31

The endpoints of a diameter of a circle are 7 2 and 1 10

Complete the flowchart proof Then write a two column proof Given AD BC ADLAB ADLBC Prove AC BD A D Dfn of Perpendicular Lines Given ZA and B are right angles Given B C AB BA 100 ZA ZB AD BC Given SAS AC BD

Complete the paragraph proof of the Third Angles Theorem Then write a two column proof Given ZA ZD ZB LE Prove C LF A C 2 E by the definition of congruent angles and then Because ZA ZD and LB LE m A m B m2C 180 and mZD m E mZF 180 by the by the Transitive Property of Equality Using the Substitution Property of Equality twice m A m2B m C mZA m B mZF By the m C m F and ZC ZF by the definition of congruent angles

determine the center foci and vertices of the ellipse and sketch the graph 23 x 4x 16y 32y 4 0

ne information provided 1 Parallel Line Construction For this part of the assignment you will construct a parallel line through a given line and point First draw a segment AB and point C on your paper Next construct a line through point C that is parallel to AB Label all points and lines used in the construction 2 Perpendicular Line Construction For this part of the assignment you will construct a perpendicular line to a given segment that passes through a given point First draw a segment AB on your paper Draw a point C above that line Construct a perpendicular line through segment AB and point C Label all points and lines used in the

Z 7 What type of quadrilateral is this figure 8 Find x y and angle z X Z degrees

11 Find the anglex and lengths y and zin the following rhomb x y 2 6 degrees

70 9 Find x X 10 Find y 110 degrees degrees

4 What would be the best way to label this polygon Parallelogram 5 Find x degrees 6 Explain how you got your answer A What properties did you use D

12 10 8 5 4 2 0 0 N 4 6 8 Note It is not necessary to calculate the linear correlation coefficient you simply need to give an accurate educated guess 00 50 00 60 00 75 00 90

Solve equation for 0 0 2 2tan 0 sec 2

AB is a vertical tower of p units high D and Care in the same horizontal plane as B the foot of the tower The angle of elevation of A from D is x BDC y and DCB 0 The distance between D and C is k units D x Y R k B 6 1 1 Express p in terms of DB and x 6 1 2 Hence prove that p e C ksinetanx sinycose cosysine 6 2 Find BC to the nearest meter if x 51 7 y 62 5 p 80 m and k 95 m 2 5 4 11

Rotate the axes so that the new equation contains no xy term Graph the new equation 24xy 7y2 36 0 O 59 19 10

H D F A 8 K 7 B ABCDEFGH is a cube What is the length of HK A 17 B 514 C 5 21 D 5 22

9 Given A 1 2 3 4 B 2 4 6 8 and C 1 3 5 7 9 Find a ANB b BUC ANB N BUC

12 Given DE bisects ZCDA and 23 21 Prove DE AB Proof 1 2 23 22 3 4 Statements 3 points 1 Given 2 E A 3 D 2 Reasons 3 Transitive Property of Congruence B 4 If two lines are cut by a transversal so that two alternate interior angles are congruent then these lines are parallel

9 Given m RST 5 x 1 3 m TSV 4 x 2 3 2 points m RSV 4 2x 3 7 Find x and mZRSV S

1 Given sets A 1 3 4 5 8 and B 1 2 4 7 Find the union and intersection of A and B a Union AUB h Intersection AOR 2 point

11 Given m DAC 7 x 4 m B 2 2x 5 and m C 2 3x 1 Find x 2 points DA C

10 Lines XY and UV intersect at M m 1 7x 21 m 3 3x 7 Find x and mZ3 2 points 2 M

State the hypothesis and the conclusion of the statement 2 points If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle Hypothesis Conclusion

7 Given 1m and t is a transversal If m 1 x x 4 7 and m 8 x 2 x 1 Find x and m 1 2 points 1 2 3 4 5 6 8 t m 1

8 Find the number of sides that a polygon has if the sum of the measures of its interior angles is 2340 2 points

6 Suppose line segments AB and CD have the same length Which statements are expressed correctly a AB CD b AB CD c AB CD d AB CD 2 points

5 Given AM 2x 1 MB 3x 2 AB 6x 4 Find x and AB 2 points A MB C

3 Given m ABD 3x 4 m DBC 2x 1 m ABC 83 Find x 2 points A D L B C

Given M is the midpoint of the segment AB AM 2 x 3 MB 3 x 1 Find x and AM 2 points A MB C

Use the law of sines to solve the triangle if possible A 34 3 a 25 b 29

Use the accompanying radiation levels cell phones Find the percentile P10 W P10 for 50 different 0 25 0 25 0 36 0 48 0 56 0 58 0 60 0 62 0 72 0 86 0 91 0 91 0 92 0 94 0 95 0 96 0 99 1 00 1 05 1 07 1 12 1 12 1 12 1 13 1 18 1 19 1 21 1 21 1 21 1 23 123 124 124 129 129 130 1 30 1 32 1 33 1 35 1 35 1 39 1 39 1 43 1 43 1 43 1 44 1 49 1 50 1 57 W Type an integer or decimal rounded to two decimal places as needed

The points 0 6 5 1 3 1 and 2 4 are vertices of a rectangle Determine the coordinates of the midpoints for each side and determine if the midpoints are the vertices of a rectangle

What is the value of x in the circle on the right The value of x is cm Round to the nearest tenth as needed O Points 0 of 1

The polygon circumscribes a circle What is the perimeter of the polygon The perimeter of the polygon is cm 8 cm 6 cm 9 cm 15 cm

Determine whether a tangent is shown in the diagram Is a tangent shown in the diagram Yes No

Lines that appear to be tangent are tangent O is the center of the circle What is the value of x X Do not include the degree symbol in your answer 640

In the figure to the right if AC 12 and BC 9 what is the radius The radius is approximately B De C A Round to the nearest tenth as needed

Describe the cross section formed in the diagram below Select one a equilateral triangle b trapezoid c isosceles triangle Od cone A food company makes regular and tall soup cans The area of the base of both cans is 30 cm The volu of the regular can is 270 cm The tall can is 2 cm taller What is the volume of the tall soup can Select one a 300 cm b 540 cm Time left 1 c 330 cm d 295 cm

e circumference of a standard baseball is about 9 in About how many square in of horsehide are required Cover 100 balls to the nearest whole number ect one a 2578 in O b 25447 in c 900 in C d 821 in The volume of two similar prisms are 891 cm and 33 cm The surface area of the larger prism is 153 cm What is the surface area of the smaller prism Select one a b 17 cm 27 cm 51 cm c d 9 cm

Answer Describe the cross section formed in the diagram below Select one a sphere b cylinder c circle d oval

Step 5 Using the z score table based on your data how much screen time would fall into the top 5 Include the work to justify your answer How much would fall into the bottom 5 Include the work to justify your answer

Find the scale factor of a prism with the surface area of 81 m to a similar prism with the surface area of 361 m Select one a 729 6859 b 6859 729 c 9 19 d 19 9 Check Find the scale factor of a cube with volume 216 ft3 to a cube with volume 1000 ft Select one a 100 36 b 3 5 c 36 100

The volumes of two similar solids are 729 m and 125 m3 The surface area of the larger solid is 324 m What is the surface area of the smaller solid Select one a 56 m b 100 m c 180 m d 200 m Check A shipping box holds 350 golf balls A larger shipping box has dimensions triple the size of the other box How many golf balls does the larger box hold Select one a 3150 b 1050 c 9450 d 2800

There are 550 toothpicks in a regular sized box If a jumbo box is made by tripling all the dimensions of the regular sized box how many toothpicks will the jumbo box hold The jumbo box holds toothpicks

Square pyramids A and B are similar In pyramid A each base edge is 8 cm In pyramid B each base edge is 2 cm and the volume is 4 cm a Find the volume of pyramid A b Find the ratio of the surface area of A to the surface area of B c Find the surface area of each pyramid a The volume of pyramid A is Simplify your answer cm

scale factor of two similar solids is 3 14 what is the ratio of their corresponding area What is the of their corresponding volumes ct one a The ratio of their corresponding areas is 6 28 The ratio of their corresponding volumes is 9 42 b The ratio of their corresponding areas is 3 196 The ratio of their corresponding volumes is 3 2744 c The ratio of their corresponding areas is 27 2744 The ratio of their corresponding volumes is 9 196 d The ratio of their corresponding areas is 9 196 The ratio of their corresponding volumes is 27 2744 check e surface areas of two similar solids are 384 yd2 and 1057 yd2 The volume of the larger solid is 1795 yd hat is the volume of the smaller solid lect one a 978 yd b 1795 yd c 1082 yd