Geometry Questions

Question 30 Points 1 Find the equation perpendicular to the line passing through the points 4 0 and 0 4 and passing through the point 0 8 O y 8 x O y 2 x Oy 4 x O y 8 x

Question 29 Points 2 Find the equation of a line passing through 5 5 that is parallel to the line which passes through 5 3 and 10 6 O y 5x 3 Oy 5x13 3 Oy 3x 5 4 O y 5x 2

Which of the following formula is used to find the distance between the points X y and x2 Y on the coordinate plane O x O x y y x1 O x x y y x x Y Y x2 x1 Y Y Complete Later Complete

3 Graph the following and identify the shape too x 49y 6x 40 0 a b 4x 9y 12x 18y 18 0 c x y 6x 2y 8 0 d 5x 3y 10x 24y 73 0

d the equation of the exponential function whose graph is shown below 21 14

How is log 728 written in terms of natural logarithms using the change of base theorem The logarithm log 728 can be written in terms of natural logarithms as

6 5 4 3 2 3 2 ON 3 6 2 3 De 5 a The graph above is a graph of what function

Write the vector in the form a b u 70 X The vector is

in the blanks to complete the ratios leg to leg 1 leg to hypotenuse leg to leg to hypotenuse

x 5 3 These two angles are 6x 30 4 Set up an equation to solve these equation Use button to input the equation Input your answer WITHOUT spaces 5 Solve for x X So to solve for x we must set these two expressions equal to each other and then use algebra to solve for

Question 24 Points 1 Which of the following equations represents the standard equation of a circle O x h y k O x h y k O x h y k O 2 x h y k

Question 23 Points 1 Which of the following equations shows the equation of a circle with radius of 1 unit and center at 9 4 O x 9 4 1 O x 9 y 4 1 O x 4 y 9 1 O x 9 y 4 1

Siven A CBA DAB CAB DBA are Right Angles Prove BC AD B D 19 Complete the Two Column Proof Statement Reason 1 CBA DAB 1 2 CAB DBA are Right Angles 12 3 CABDBA 4 5 AABC ABAD 6 BC AD 13 All Right Ang 14 Reflexive Pr 15 16

12 Check to see if the sides are proportional by creating ratios between corresponding sides and reducing the fractions Shortest Sides 5 Middle Sides Longest Sides 13 13 Are the two triangles gimilar Similar

15 20 37 Use the Pythagorean Theorem to set up an equation to solve for x 38 Solve forx O 14 O 5 13 Ox 5 5 Ox 25

4 4 39 These are 111 Special R

Question 17 Points 1 The angles formed in the same segment of a circle are O congruent O unequal O straight angle Oright angle

30 X 30 29 This shape is BEST described as being a n y 30 30 Find the measures of x y and z Z N degrees degrees degrees Obtuse Scalene Triangle Right Scalene Triangle Acute Scalene Triangle Acute Isosceles Triangle Obtuse Isosceles Triangle Equilateral

Question 19 Points 2 Find the area of the given sector Use 3 14 A O O 16 4 sq cm O 30 sq cm O 18 sq cm 60 10 sq cm 5 6 cm B

8 If two things are equal and one of those things is also equal to another item then the other things is also equal to the item 9 Give an algebraic example of this propert Transitive Property BU Font Family Y A Reflexive Property

Question 16 ABC is a triangle If zB 45 and C 35 find A O 100 O 180 O 80 Points 2 O 45

10 Determine if the following is a reflection a rotation or a translation O Rotation O Reflection about the x axis O Translation Reflection about the y axis

2 Plug in the information into the Distance Formula D x2 x1 Y2 y Distance Use button to input the equation Input your answer WITHOUT spaces

7 Name all angles which are congruent d 8 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

11 Which of the row s are similar O Row 2 O Row 4 O Row 1 Row 3 0

Find the distance between the following points 2 4 3 2 1 Make a list of the coordinates y and x2 Y2 31 2 y 4 3 2

6 Categorize angles a and d as one of the following supplementary angles complementary angles or vertical angles Vertical Angles Supplementary Angles Complementary Angles a b C d

8 cm O 8 O 13 33 T O13 33 24 32 T of the shaded region 52 cm 3 cm

Find the measure of y and z in the figure N 40 O y 90 and z 160 O y 80 and z 160 Oy 80 and z 150 O y 40 and z 80 80

Which of the following is true about AB in the figure given A 5 C 15 17 B OAB is a secant to the circle C OAB is a tangent to the circle C OAB is a chord to the circle C OAB is NOT a tangent to the circle C

Question 11 Points 2 Circle A center 12 32 and radius 15 Circle B center 1 4 and radius 10 Which of the following is the necessary transformation translation dilation from A to B to prove that the two circles are similar O Translation 13 units left 28 units down Scale factor reduction ratio 2 3 O Translation 13 units left 28 units up Scale factor enlargement ratio 2 3 O Translation 13 units left 28 units down Scale factor reduction ratio 3 2 Translation 13 units right 28 units down Scale factor enlargement ratio 3 2

O is the center of the circle Find the measure of x in the figure 230 O 130 O 230 O 260 X

Question 8 The three sides of a scalene triangle are 5 cm 7 cm and 10 cm Find the smallest angle of this scalene triangle Round off your answer to the nearest tenths place Points 2 O 111 8 O68 8 O 40 5 O 27 7

Question 10 Find the enlargement ratio of the circle C with center 3 1 of radius 2 units and circle C with center 5 4 of radius 3 units when C is transformed to C 213 0 1 312 Points 1 5

Question 7 Points 2 Triangle ABC has sides BC 4 cm AC 11 cm and AB 8 cm Find the angle A O 16 21 degrees O 33 94 degrees 129 83 degrees 26 16 degrees

Question 9 Find the measure of angle A in the triangle ABC C A 20 12 Points 2 O 37 5 O 43 5 O 67 5 000 B 14

Question 5 A telescope at the top of a building of 100 m height observes a ship with a depression angle of 45 degrees Find the distance between the ship and the building O 45 m Points 1 O 70 71 m O 100 m O 145 m

Question 4 Points 2 A rectangular plot of land is 40 feet long and 25 feet wide How long is a walkway along the diagonal O 46 17 feet O 47 17 feet O 45 17 feet O 44 17 feet

Question 6 Points 3 The angle of elevation of a car on a road to the top of a tower is 60 If the height of the tower is 80 feet find the distance between the car and the tower O 46 15 feet 46 19 feet 40 19 feet 56 19 feet Previous Complete Later 00 00 00 00 Complete

Question 3 Find the missing angle of VOW from the given figure 19 O 61 O 66 Points O 96 W

Question 1 What is the value of O 0 3535 O 0 65 Points 1 O 0 125 O 0 75 sin45 2

Question 5 The radius of a cylindrical tank is 12 ft and its surface area is 1250 sq ft Find the height of the tank O 4 ft O 5 ft O 6 ft Points 3 O 7 ft

The length of a rectangular table is two times its width If the perimeter of the table is 2 000 ft set up an equation to find the width w of the table 2000 2 2w w 1000 2 3w w O2000 2 2wx W 2000 2 3wx W

The length of a rectangle is 8 inches more than its width Set up an equation to find the width of the rectangle if the area is 32 sq inches Owx 8 32 Ow 8 w 32 Ow 8 w 32 w 8 w 32

Question 3 Points 2 Find the largest area of the circle enclosed in a square provided the area of the square is 324 sq cm O 254 sq cm O 255 sq cm O 256 sq cm O 257 sq cm

Question 1 There is a circular garden enclosed by a square field The area of the square field is 81 sq cm Find the largest area of the circular garden enclosed by a square field Points 3 63 585 sq cm 64 585 sq cm 65 585 sq cm 66 585 sq cm

wide is it O 2 ft O 1 ft O 3 ft O 4 ft ectangular mat is 16 feet It is 6 feet long How

Question 4 Points 3 There is a circular garden enclosed by a square field The area of the square field is 64 sq cm Find the largest area of the circular garden enclosed by a square field O 201 06 sq cm 50 28 sq cm O 150 sq cm O 64 sq cm

The side measures of the triangle are 4 cm 7 cm and 9 cm Find the perimeter of the triangle 20 cm 252 cm 25 cm Points 3 18 cm

Which of the following can be used to find the volume V of a sphere whose radius is r O V 4 3T cubic units V 2 3 r cubic units O V 4r cubic units