Geometry Questions

y 3x 3 5 1 1 2 10 25 y 2x 4 27 y y x 1 2 435 410 6 3 4 2 10 2 2 2 24 y 2x 2 342 10 26 y x 3 di a 5 28 y x 5 34 35 10

29 y x 5 434 3 31 y x 2 33 y 3x 1 0 5432 0 40 2 3 3 x 1 30 y 2 2 In 44 33 10 4 32 y x 1 44 3 6 10 34 y x 1 d 0

1 Find a situation that can be modeled using similar triangles 2 Take a picture or sketch the situation 3 Use the scale factor to determine the lengths of all sides of the triangl

ry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 1 Which of the following properties is true about 2 Which of the following properties is true about ALL parallelograms Choose one ALL parallelograms Choose one A B C Four right angles Diagonals are bisected Only one pair of parallel sides 3 If x 9 can it prove ABCD is a parallelogram Show your work below B C 105 11x 6 D 5 Solve for x using the property of bisected diagonals CN 20 LN 6x 2 OA B C Opposite sides are equal and parallel All angles are always equal The sum of all angles is 180 4 If x 7 can it prove BCDE is a parallelogram Show your work below E 115 9x 7 100 D I 6 Solve for x using the property of bisected diagonals Then find the measure of VX VH 18 U HX 4x 6

T 18x 7 V 65 7x 5 U x 2 Hri 2x 2 R I 3 Solve for x in the parallelogram below Then find 4 Solve for x in the parallelogram below Then find the measure of ZY the measure of ZT U l 6x 6

etry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 5 ABCD is a parallelogram Determine whether each statement must be true Select the correct answer for each lettered part A The perimeter of ABCD is 2AB 2BC B DE DB C BC DC D ZDAC ZBCA E AAED ACEB F ZDAC ZBAC O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No A 100 I Optional Complete problems 6 7 10 13 17 18 24 from your textbook on separate lined paper for extra practice When you are finished check the odd problems for solutions at the back of the textbook 11

1 Does each set of given information guarantee that quadrilateral JKLM is a parallelogram Select yes or no for each situation A JN 25 cm JL 50 cm KN 13 cm KM 26 cm B ZMJL ZKLJ JM LK C JM JK KL LM D ZMJL ZMLJ ZKJL ZKLJ E AJKN ALMN O Yes OYes O Yes Yes O Yes O No O No O No O No O No M N K L

metry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf According to Theorem 2 label the parallelogram with the appropriate tick marks IIf 1 According to Theorem 3 label the parallelogram appropriately I B If then the quadrilateral is a parallelogram B 00 Regist C According to Theorem 4 label the parallelogram with the appropriate tick marks then the quadrilateral is a parallelogram then the quadrilateral is a parallelogram 1

try 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 3 2 a 2 4 and b 9 7a 106 16 9b 25 x 6 and y 3 5 2x 2 6y 1 M 20 12 8y 6 4x 10 I

y 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf Your Turn Show that each quadrilateral is a parallelogram for the given values of the variables Step 2 is done for you 1 z 11 and w 4 5 Step 1 Find LF and LH So mZF m and mZE m 9z 19 12w 8 Step 2 Find LE and LG 14w 1 11z 3 LE 12 4 5 8 54 8 EFGH is a parallelogram since 62 LG 14 4 5 1 63 1 62 H 100 G

nit 1 Quadratics choose option A or B Option A 1 Design an experiment to collect data that can be modeled as a parabola 2 Graph the data you obtain from your experiment 3 Determine the equation that best fits the data and graph that as well 4 State the following information based on your graph a the roots b the axis of symmetry c the optimal value

Graph the data you obtain from your experiment

Tools Jared is constructing a rectangular door for a shed If the door shown below has a width of 42 in and a diagonal support of 94 in what is the approximate height of the door 7 O O A B D 52 in 84 in 103 in 136 in ABC

Option A 1 Design an experiment to collect data that can be modeled as a parabol

Tools Question 10 Consider this right triangle Enter the ratio equivalent to tan L tan L Symbols 13 7 8 N 5 M 9

3 Determine the equation that best fits the data and graph that as well

8 Tools Consider this right triangle N Read the question and type your response in the box provided Your 22 22034 M Enter the measure of ZM to the nearest degree

the question and type your response in the box provided Your response will be saved automatically On the diagram below a boat represented by point A is 450 feet away from a buoy represented by point B Another buoy is located at point C The three points form a right triangle with the measure of A equal to 21 3 A 21 3 450 ft Enter the distance between the two buoys rounded to the nearest foot feet

Tools Find the correct equation to solve for m m 53 A B C D 24 124 cos 53 tan 53 tan 53 cos 53 24 m m 24 24 m 2024 Illuminate Education TM Inc

Tools X Read the question and type your response in the box provided Your Consider this right triangle 17 30 Enter the value of side length x

Tools Question 6 Use the table below to determine the approximate height of the flag pole 35 2024 25 ft A B C 14 3 ft 17 5 ft 20 5 ft D 35 7 ft sin 35 0 57 cos 35 0 82 tan 35 0 70 Illuminate Education TM Inc 4

Tools O Question 4 Which pair of equations can be used to solve for x in A PQR P A B C D 18 Q 57 sin57 cos57 sin57 tan57 R 18 18 18 x and cos33 18 and sin33 1 18 18 x and cos33 and cos33 18

Tools Question 1 Right triangle XYZ is shown below Z 29 20 X 21 Enter the ratio equivalent to tan X 2024 Illuminate Education TM Inc

Tools A B C 6 Which trigonometric ratios are equivalent to Select TWO that apply U 10 cos P sin P cos R 8 sin R R

State whether the following measures can be side lengths of a triangle Click Yes or No for each situation A 4 4 7 B 2 9 12 C 3 5 8 D 10 12 15 Yes Yes Yes Yes No No No No

Question 9 G A B C K 6 JG 13 N M II Pause 7 ZJ 7 ZH 7 and ZG 7 ZJ 7 but not ZH or ZG Q Zoom

4 Question 7 AJKL is shown below Choose the correct option that has the angle measures from least to greatest K 6 8 cm A B C D 8 9 cm ZK ZJ ZL ZJ ZL ZK ZJ ZK ZL ZL ZK ZJ II Pause Q Zoom 2024 Illuminate Education Inc 5 2 cm L

4 H Using the information provided select the triangle congruence criterion that can BEST be used to prove that AHFGA HKJ A angle angle side AAS angle side angle ASA side angle side SAS side side angle SSA B C D C2024 Illuminate Education Inc

Which of the following is NOT a valid Triangle Congruence Theorem A SSS B C ASA SAS

Which congruence postulate or theorem shows that the triangles Welow are congruent 38 15 A B 100 AA AAS ACA 100 15 380

In the figure shown PSRQ Which theorem can be used to prove ASQR AQSP P 0 00 A B C S R SAS Congruence Theorem SSS Congruence Theorem AAS Congruence Theorem

csc0 1 Cose csc 1 Multiple Simplify the following csc0 1 trigonometric expression by following the indicated direction by

19 YT 9 Find TW W X T Z

Use the DESMOS software to complete the following questions 1 Complete the table below by graphing using DESMOS software Vertex y x 5 y x 2x 3 x 2x 3 y 2x 5x 3 y 2x 4x 7 Direction of opening Maximum Minimum Axis of symmetry x intercepts y intercept

5 Triangle ABC has been dilated from center D to form triangle RST 10 7 5 R S Is AGRS AART Explain 25 A T 12 cm C If the length of the segment AC x which is the length of the segment RT Date 10 6 In the diagram below GRS ART GR 36 SR 45 AR 15 and RT 18 G 36 A 45 15 R A 10 cm 18 Alex designed a plan for a large mosaic wall including a scale model below T 9 R 1 C 88 45 30 6 20 15 25 2 25 The wall is 10 m wide and 7 m high What are the dimensions of the largest mosaic he can make on that wall Explain He will use 2 cm square tiles to make his mosaic How many tiles will he need Explain how you found your answer 316 AJA Jus

A O Qo B Suppose that line segment A B is the image of line segment AB after a dilation with a scale factor of 0 5 centered at point Q Write a statement that best describes the position of line segment A B AIR 2 The image shown will undergo a dilation centered at point B with a scale factor of 2 Which lines will not be changed by the transformation tornan ed H 3 In the coordinate plane quadrilateral ABCD has vertices A 1 1 B 5 1 C 5 9 and D 1 9 Quadrilateral FGHJ is shown in the coordinate plane to the right What are the scale factor and the center of dilation that map quadrilateral ABCD onto quadrilateral FGHJ AUCH 35 BOK U B 9 10 4 Under a dilation where the center of dilation is the origin the image of X 3 4 is X 9 12 What are the coordinates of Y the image of Y 5 0 under the same dilation 171

3 5 l 6 X

11 x 1 X

X Alu x 2 4

X 3 2 4 11 11 x 1 x 7 5 12 3x 5 X

7 93 x 1 5 8 8 3 9 x 3 5 3 9 X x 1

Solve each proportion for the variable round answers to the nearest tenth 9 2 1 X 4 3 11 y 14 21 3 56 6 618

4 7 5 11 X 3 5 3 5 x 2 6 6 7 8 6 x 3

For each rectangle write the ratio of the longer side to the shorter side Simplify if possible 1 70 ft 25 ft 2 12 cm 18 cm 3 36 in 21 In

8 Use the figure to answer the following 2 points a What is the measure of the shortest side of the sail on the model Round your answer to the nearest tenth b What is the measure of the longest side Round your answer to the nearest tenth B MAM 9 What is the area of the given triangle Round to the 10 A local park is located on a triangular piece of land nearest tenth 1 point What is the area of the park to the nearest tenth 1 point A 13 cm 7 cm 38 C R 75 m E60 40 28 in 150 m Checkpoint Score Total 11 15

HW 1 What is the ratio equivalent of sin C 34 A C 30 28 Complete problems 1 8 below for independent practice 40 3 What is the ratio equivalent of cos A Hint use the Pythagorean theorem to find the missing side B 8 m When you are finished check the solutions with your teacher 21 16 5 The diagram below represents a ladder leaning on the side of a wall The ladder is 28ft long and the height of the wall reaches 21ft What is the angle between the ladder and the ground 96 B 9 A 7 Find the area of the following triangle 7 m 2 What is the ratio equivalent of cos Z 36 39 35 0 B 4 What is the ratio equivalent of tan C Hint use the Pythagorean theorem to find the missing side 28 139 Y 15 Z A 6 Create a diagram of a ladder leaning on the side of a wall The wall is 16ft tall and the ladder is 18 ft long What is the angle between the ladder and the ground 7 mi 63 8 Find the area of the following triangle 4 mi Optional Complete problems 1 3 5 9 11 from your textbook on separate lined paper When you are finished check the odd problems for solutions at the back of the textbook Grometry A 2020 Page 142

EX 4 y25x 10x 7 Opens Vertex Axis of symmetry x intercepts y intercept vertex Form

3 Write the fraction ratio for each of the following 1 point a tand b sinD c cosD 4 Ifm H 68 what is GI Round your answer to the nearest tenth 1 point 4 8 1 7 G 2 cm F

Lesson 13 3 and 13 4 I can solve right triangle problems using trigonometric ratios and the Pythagorean Theorem 5 Find the measures of the following Round to the nearest whole number 2 points a HT b ZT How I Did Circle one I got it C ZH 15 cm H I m still learning it W 8 cm T

Your Turn 1 A building casts a 33 m shadow when the sun is at an angle of 27 the vertical How tall is the building to the nearest meter How far is it from the top of the building to the tip of the shadow What angle does a ray from the sun along the edge of the shadow make with the ground a Find EF b Find DF c Find m2D DA 2 Use the Pythagorean Theorem to find AB What is the trigonometric ratio equivalent to tan C C 12 B B C OD 12 35 35 12 37 27 11 D133 m E 35 12 37 Shadow 37 Building