Geometry Questions

9 113 A 18 Similar Triangles 22 C 45 12 113 D 4X

use the relationship given in the right triangle and the inverse sine cosine and tangent functions to write 0 as a function of x in three different ways It is necessary to rationalize the denominator 1 2 25 6 5

C E B elect one Check a BD RT b ZAEB ZQUR C CD ST Od ZCED ZSUT N D K G is the diameter of OM Which conclusion cannot be drawn from the diagram M L H Select one 8 R G a GH GL Oh IGGH S

e polygon circumscribes the circle What is the perimeter of the polygon 3 mm 7 mm wer heck polygon circumscribes the circle What is the perimeter of the polygon 7 in in 17 mm 4 in 3 in

If g x 4x2 16 were shifted 9 units to the right and 1 down what would the new equation be OA h x 4 x 17 9 OB h x 4 x 7 16 OC h x 4 x 9 17 D h x 4 x 9 17

In the diagram at the right the endpoints of the chord are the points where the line x 4 intersects the circle x y 49 What is the length of the chord The length of the chord is approximately Round to the nearest tenth as needed

Answer Check Determine whether a tangent line is shown in each diagram 9 4 5 3 10 6 5 6 12 10 3 3 6 Choose Choose Choose

Answer Check 70 The circle below represents Earth The radius of the Earth is about 6400 km Find the distance d that a person can see on a clear day from height h above Earth Round your answer to the nearest whole kilometer 20 km r 4 r

In OO mAB 60 and CA BD What is mCD mCD B

Find the value of x 8 4 1 0 X Do not round until the final answer Then round to the nearest tenth as needed

OA and OB are congruent CD is a chord of both circles If a radius is 13 ft and CD 10 ft how long is AB The length of AB is ft A B

Answer Check 40 0 Assume that lines that appear to be tangent are tangent O is the center of the circle What is the value of x that appear to be tangent are tangent O is the center of the circle What is the value of x 51

What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of the figure below 4 SO 1Q Select one 3 R A rhombus X OB rectangle OC parallelogram OD square X

4 x degrees 5 Explain the process you went through to find the measure BiUFont Family AAT

Find what x equals and the measures of angles a b and c 15 To find we need to compare the two angles that have x in them 3x 7 and 5 These two angles are 16 Set up an equation to solve for x Use button to input the equation Input your answer WITHOUT spaces

For Parts A D 1 Part A Angles 3 6 2 Part B Angles 2 5 3 Part C Angles 3 7 4 Part D Angles 4 5

82 a c d g 5 To find a we need to compare it to the given angle measure of 82 These two angles are 6 The measure of a degrees 7 To find b we need to compare it to the given angle measure of a These two angles are

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