Geometry Questions

3 Being as specific as possible name the type of parallelogram that a has congruent diagonals b has perpendicular diagonals

2 For the given model of the form x a Determine the value of p b Identify the focus of the parabola c Write an equation for the directrix Express numbers in exact simplest form x 4y 2 Part 0 3 4py Part 1 of 3

Find 30 Given Find 31 Given Find y MN and ST MN x 5 ST x MN and ST X x 2x 5 RM RN ST 5x 3 m R 60 x RM and ST 2x 1 R M N S Exercises 29 31

5 Consider any kite a Does it have line symmetry If so describe an axis of symmetry b Does it have point symmetry If so describe the point of symmetry

Z W X Exercises 3 4 4 In the drawing suppose that ZX is the perpendicul bisector of WY What type of quadrilateral is WXY

7 In parallelogram ABCD not shown AB 8 m B 5 Which diagonal has the greater length and BC 110

S X Y N T Exercises 11 14 12 If XY 6 YZ 8 and XZ 10 find a RS b ST c RT 13 If the perimeter sum of the lengths of all three sides of ARST is 20 what is the perimeter of AXYZ

a As shown must RSTV be a parallelogram b With measures as shown is it necessary that RS 5 V 8 T

5 A carpenter joins four boards of lengths 6 ft 6 ft 4 ft an 4 ft in that order to form quadrilateral ABCD as shown a What type of quadrilateral is formed b How are angles B and D related B A 6 6 D 4 C

In Exercises 11 to 14 assume that X Y and Z are midpoints of the sides of ARST 11 If RS 12 ST a XY S X R Y 14 and RT 16 find b XZ N T c YZ

20 Given Prove 1 2 Draw AC Quadrilateral ABCD with midpoints E F G and H of the sides EF HG Statements 4 PROOF 3 In AABC EF AC and in AADC HG AC D H A G Reasons E C 1 Given 2 Through two points there is one line 3 4 If two lines are to the same line these lines are UL B

A M N B Exercises 9 10 10 In ABC M and N are midpoints of AC and BC respectively If MN 7 65 how long is AB

D E NNM B F A C Journal Proofs of Congruence 6 7 2 5 3 Copyright 2023 Apex Learning Inc Use of this material is subject to Apex Learning s Terms of Use Any uthorized conving reuse or redistribution is prohibited

Use the elimination method to find a general solution for the given linear system where differentiation is with respec L x 6x 10y sint y 5x 4y cost Eliminate x and solve the remaining differential equation for y Choose the correct answer below 162 A y t C 2 cos 5t C esin 5t cost 629 162 OB y t C e C te cost 629 OC y t C e cos 5t C sin St 138 629 162 E y t C e Cate cost 000 162 629 sint 138 630 cost 162 OD y t C e cos 5t C sin 5t cost 629 GILB sint 138 629 138 629 sin t sint 138 629 sint

7 Why do you think triangular structures are so stable 2 points

6 Are the truss triangles AADB and ABFC congruent Which postulate did you use for your proof Which engineer was correct 1 point

1 0 1 2 3 4 5 1 2 V 3 4 4 3 L D 5

3 Here is a picture of the bridge truss and the given information 1 AC DF 2 E is the midpoint of DF 3 B is the midpoint of AC 4 EBAC Fill out the two column proof to prove that ABED ABEF You B may not need to use all the rows 5

4 State how you know that ABDF is an isosceles triangle 2 points

Given the system of equations 2x 3y9z 16 x 3z 4 3x y 4z 4 a determine whether the system is inconsistent or dependent Your answer is input inconsistent or dependent dependent b if your answer is dependent in a find the complete solution Write x and y as functions of x

State the property or properties used to rewrite each expression log 3x log log 3x

Find the exact value of sen a if a 3 and b 5 03 34 3 3 34 34 03 34 34 O 34 3 34

1 Convert each of the following angles to radians There are some negatives a 30 b 45 c 210 e 120 g 150 1 90 k 240 d 225 f 135 h 180 1 60 1 270

Complete the statement below If z 625 cos 120 i sin 120 then any fourth root of z has r and the fourth root with least positive argument h

8 Drag the movable black point to set the left vertical asymptote and shift the function the red point to set the right vertical asymptote thereby setting the period of the function and the blue point at the correct set of coordinates You may click on a point to verify its coordinates Note that the two asymptotes can be moved independently of each other and that only one period of the function is shown Provide your answer below TT 5t 42 3 2 4 1 0 0 2 1 1 2 0 f 2TT 3TT 4 4TT 5TT

Drag either of the movable red points to set the asymptotes for one period of the given function Also place the blue point at the correct set of coordinates You may click on a point to verify its coordinates Provide your answer below TT 2 3 8 TT 4 TT 8 7 6 5 4 3 2 1 10 1 2 3 4 5 6 TT 8 TT 4 31 8 TT 2

B 12 9 D Are the triangles similar C 3 D B

Determine the area of the triangle with vertices 10 4 0 11 1 1 and 11 4 4 Use the square root symbol where needed to give an ex ct value for your answer Area 0 o G Determine the area of the triangle with vertices 10 4 0 11 1 1 and 11 4 4 Use the square root symbol where needed to give an ex ct value for your answer

Write an equation of the graph given below 21 Provide your answer below 1 0 2 0 1T1 3 TT 2 3 TT 3 4 31 4 nin n TT

y 3 cos 1 Drag the black dot to shift your graph in the desired direction Use the blue draggable dot to change the period Drag the orange dot to change the amplitude and or reflect with respect to the x axis The horizontal distance between the vertica dotted green lines corresponds to one period Provide your answer below 2T 54 A 3 NI 0 1 0 1 2TT 4 1

Find the surface area of the triangular prism O615 m 676 m O 511 m 451 m 15 m 13 m 11 m 15 m

1 2 3 4 14 9 ft 15 1 ft 5 8 m 13 7 ft 14 9 ft 6 m 15 1 ft 2x 5 6x 11 5 m 6 m 2x 13 x 14 5 8 m 4x 9 x 6 X 4 3x 1

John left a scavenger hunt for his friends He advised his friends to travel 5 blocks west and 3 blocks north Which translation rule below describes John instructions x y x y x y x y x 3 y 5 3 y 5 x 5 y 3 5 y 3

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