Geometry Questions

1 A cylindrical soup can has the dimensions shown CONDENSED Soup 17 cm 11 cm What is the surface area of the can Use 3 14 as an approximation forz Round the answer to the nearest tenth if necessar O388 6 square centimeters O 1614 7 square centimeters O777 2 square centimeters 587 2 square centimeters

A satellite dish has the shape of a parabola when viewed from the side The dish is 60 inches wide and 45 inches deep How far is the receiver from the bottom of the dish if the receiver is placed at the focus 3 4 45 in 45 m Receiver in 30 45 60 in 0 0 2 in 30 45

2 Given that the terminal side of the angle 0 in standard position passes through the point 3 5 Find the values of each of the 6 trigonometric functions for angle 0 and it s not necessary to rationalize any denominator a sin 0 b cos 0 c tan 0 d csc 0 e sec 0 f cot 0

If a point C is inside ZAVB then 39 23 B m ZAVB 62 OA MLAVB B m CVB C m AVC D m BVC m CVB mZAVB

18 Verify that the following points lie on the Unit Circle 1 0 0 1 2 2 2 2 1 2 3 2 and 3 2 1 2

ow dy X and aw dy 22 at the point w x y z 147 2 2 3 if w 3x y 3yz 3z and x Z x y 2 17

https www webassign net web Student Ass Sketch the solid and a typical disk or washer y 0 5 O 6 4 2 2 4 6 0 5 y 4 2 1 0 1 5 1 5 X X 1 5 10 0 5 2 4 5 3 2 4 y y 0 5 1 0 1 5 X 89 F Sunny

5 Check to see if the sides are proportional by creating ratios between corresponding sides and reducing the fractions Shortest Sides 5 Middle Sides 11 Longest Sides 13

U Find X 18 10 10 All drawings are not to scale The units below are in feet 18 feet X If you cross multiply and solve for x we find that the missing length is Input your final answer in decimal form

Use the picture for the following two questions 08 4 How many common internal tangents can be drawn Internal 5 How many common external tangents can be drawn External

All drawings are not to scale 2 Are the two triangles similar Similar 3 Explain the reasoning for your answer BU Font Family AA A

D 8 cm cm 8 cm 11 What is the measure of the radius of Circle O B cm 12 What is the measure of the diameter of Circle O

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

9 Name the following relationship between theses circles B O Disjoint circles O Tangent circles

All drawings are not to scale The units below are in feet 10 20 20 8 View this drawing as 2 triangles one inside the other The corresponding angles are meaning that all of the sides should be pro Input your answers WITHOUT spaces 9 If you cross multiply and solve for x we find that the missing length is

10 Name the following relationship between theses circles Disjoint circles O Tangent circles O Intersecting circles

11 If the following triangles are similar find x All drawings are not to scale 20 30 X The units are in inches X

A 6 0 8 D 2 2 32 6 1 b 6 2 C 2 2 B 6 0 00 6 8 10 X

Which of the diagrams below represents the statement If it is an equilatera triangle then it is isosceles equilateral triangle isosceles triangle Figure A O A Figure A B Figure B isosceles triangle equilateral triangle Figure B

For the equations below determine A If the parabola opens up down left or right B The vertex of the parabola C The location of the focus D The equation of the directrix E The equation of the axis of symmetry 1 x 5 1 40 y 5 2 x 8 1 44 y 1 3 x 8 1 28 y 9 4 x 3 1 16 y 4 5 y 9 1 12 x 7 6 y 1 1 4 x 2 7 x 4 1 4 y 3 8 y 2 1 8 x 4 9 y 5 1 12 x 4

If an equation is true it doesn t matter which side of the equal sign informa writte 4 Give B Symmetric Property Reflexive Property Transitive Property Additive Property rty

7 If two things are equal and an amount is add to one side the equation must E balanced by adding the same amount to the other side of the equation Symmetric Property Reflexive Property Transitive Property Additive Property is property W AAA FE E

Two reflections over intersecting lines is the same as a single B i U Font Family Y 130 50 AAAF equal to two times the If an object was first reflected over the line segment OA and then reflected over the line OB explain what single transformations would this be equivalent to A between the lines of reflection

the other things is also equal to the iter 6 Give an algebraic example of this prop Bi Font Family S Symmetric Property Reflexive Property Transitive Property Additive Property er ite

X z 10 Mr F likes Pizza Ms Diaz and Mr F like the same thing Ms Diaz likes 11 19 x 19

e an algebraic example i Font Far Symmetric E Reflexive Pr Transitive P Additive Pro

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

2 Rotate the figure 180 clockwise O

on coordinates of the image after you ve applied the following translation vector 3 y 2 A 6 0 D 2 2 4 C 2 2 B 6 0 10 X

5 In ARST M and N are the midpoints of RT and RS respectively Given MN 2x 3 ST 3x Find x MN 2 points R M S N T

1 Determine whether the statement is true or false 1 point each a The median of a trapezoid is parallel to each base b The diagonals of a kite bisect each other c The consecutive angles of a parallelogram are supplementary

10 In AABC M and N are the midpoints of AB and BC respectively MN x 5 AC x 2x 5 Find x MN AC 2 points C A M N B

2 Given ABCD with diagonal AC Prove AABC ACDA I 1 Statements 2 ABCD and BC AD 3 ZCABZACD and ZACBZCAD 4 AC AC 4 points Proof 1 2 3 4 5 A D Reasons B C

8 Given AC BC and D is the midpoint of BC AB 2x 1 AC 3x 4 BD x 1 Find x AB BC X 2 points B A AB D BC C

9 For kite ABCD m A m B 20 m C m B 60 Find m B 2 points A D B C

11 In trapezoid ABCD with AB DC M and N are the midpoints of AD and BC 2 points respectively AB 4x 9 DC 6x 3 and MN 3x 4 Find x MN AB DC A B D M X N MN C

6 In ABCD AB 2x 7 BC 3x 4 and CD 3x 2 Find x and DA 2 points D B C

7 The perimeter of AABC is 68 AB 2x 3 Find x AB AC AC 3x 2 and BC 4x 5 2 points B X A AB C

4 Given ABCD m A 2x 3 and m B 3x 23 Find the measure of ZA and ZB 2 points A D B C

3 Use the given information to state the reason why AADC ABDC a ZA ZB AC BC AD BD b ZA ZB AD BD 41 42 a b 1 point each A 12 D B

a Similarity Question 1 Select one BE In the figure above which of the following would allow you to prove A CBA similar to A EDA O DA CB ZDEA ZA A ZC LA

8 Find the sum of the measures of the interior angles of a poly gon of n sides if a n 6 b n 8

20 Find the number of sides for a regular polygon whose exterior angles each measure a 45 b 9 STO

11 Find the sum of the measures of the exterior angles of a an equilateral triangle b a rectangle each interior angle is a right angle

3 Find the measure of each exterior angle of a regular polygon of n sides if a n 4 b n 12

Find the distance between each pair of points Round your answer to the nearest tenth if necessary 1 2 3

29 Given Prove Plan R Parallelogram RSTV also XY VT 21 LS First show that RSYX is a parallelogram S

In Exercises 19 to 22 classify each statement as true or false In Exercises 19 and 20 recall that the symbol C means is a subset of 19 Where Q quadrilaterals and P polygons QCP 20 Where Q OCP quadrilaterals and P parallelograms

3 MNPQ is a and m M 110 Find a QP b NP parallelogram Suppose that MQ M P N c mZQ d m P 5 MN

11 Given that mA 2x 3 and m B 3x 23 find the measure of each angle of ABCD