Geometry Questions

14 Name the following relationship between theses circles O Intersecting circles O Disjoint circles O Tangent circles O Concentric circles

4 What would be the best way to label this polygon 5 Find x

The front view of the top of a house is in the shape of a triangle whose height is 10 inches less than the length of its base and its area is 75 in2 If b represents the length of the base which of the following equations can be used to find the value of b O b b 10 75 Ob b 10 150 Ob b 10 4 75 h h 10 Base Height 75 2

Find the volume of the pyramid 7 cm 17 cm O 387 37 cm O 396 67 cm O 399 78 cm 20 cm

Find the geometrical name of the object shown below Go O Triangular prism Hexagonal prism O Square prism Rectangular prism

Question 36 Points 2 Find the area of the polygon with the coordinates 1 2 3 2 3 0 and 1 0 O2 sq units 8 sq units O4 sq units O 16 sq units

Question 45 Points 2 The volume of a cylinder is 768 in Find the radius of the cylinder in inches if the height is 3 in O 14 inches O 15 inches O 16 inches O 17 inches

Question 28 Points 2 Which of the following lines is perpendicular to the line passing through the points 3 4 and 5 6 O y x 7 O y x 4 O y 4x 9 O y 4x 11

Find the volume of the cone that has the same base and height as the cylinder shown 12 m 21 m O 791 28 m O 793 23 m O 797 67 m

Question 41 Points 1 Identify the volume of a sphere with a diameter of 6 inches O 36 t in 48 in 216 in 288 in

Question 40 Points 3 Find the volume of a sphere with a radius of 9 cm Use 3 14 2562 cm 3000 cm O 4153 cm O 3052 cm

Question 48 What three dimensional figure models a hockey ball O Cone Points 1 O Cylinder O Sphere O Cube

Question 27 Points 3 The points 2 1 2 4 5 1 and 5 4 are the vertices of a polygon What type of polygon is formed by these points O Trapezoid O Square O Triangle O Rhombus

Question 31 Find the midpoint of the line segment joining the points 1 2 and 1 2 O 0 0 Points 2 O 1 2 O 1 2 O 2 1

Points 1 Which of the following formulas is used to find the volume of a cylinder with a radius of r units and a height of h units O Trh cubic units O 2 r h cubic units Trh cubic units r h cubic units

Question 44 Points 1 Find the volume of a cylinder if the radius and height are 9 cm and 8 cm respectively O648 cm 658 cm O 548 cm 643 cm

The graph of y f x is shown below Draw the graph of y f x 6 4

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