High School Geometry Questions

Use the appropriate trigonometric function to find the value of of x in each triangle round sides to the nearest tenth and angles to the nearest degree Don t forget units 4 5 9 in 6 in x 41th 11 ft 6 64 m 31 m X

7 yd 8 10 m 56 9 Find w and x 32 W 10 ft 8 ft

1 Complete using hypotenuse opposite and adjacent In Sin A Cos A Tan A A Sin A Cos A Tan TII

4 a a go 30 b 10 b 5 a b 30 a 4 5 b 60 answer must be in simple r 6 X 12 30 x y 6

7 10 H D P V y 60 8 X y 60 go y 7 30 X bi X 5 6 3 60 X 17 9 y y

10 Find the altitude of an equilateral triangle that has side lengths of 7 11 Find the altitude of an equilateral triangle that has side lengths of 2 6 12 Given the altitude of an equilateral triangle is 4 15 find the perimeter of the equilateral triangle

4 3 2 1 V 24 2 3 2 3 What is the slope of the line

Standard 6 GSR 5 1 Find the area of the polygon below 16 cm 0 96 cm O 192 cm O 208 cm O 224 cm 6 cm 2 cm 14 cm

Which statement is true about the Modern era in the West It was a time of transition to science and reason as authorities about truth It posits that fundamental discoverable truths exist O Capitalism was replacing feudalism all of the above

Use a special right triangle to express each trigonometric ratio as a fraction and as a decimal to the nearest hundredth if necessary 3 sin 30 6 sin 60 87 4 tan 45 7 tan 30 158 5 cos 60 5 8 cos 45 71

30 11 CERKETPLA C TABLEMENTE

find the value of x 56 50 n

3 7 17

7 17

9

Use trig functions to find the value of w and then x 10 11 30 D W 10 6 12 102 102

4 15 3 4 5 5 X 4 6 x S

7 16 20 X 8 x 12 5 15 9 9

2 20 13 in

X 70 y 15 yd

2 9 cm E ale trig function to find the value of x and y round answers to the nearest tenth Geometry Worksheet 8 2B X 7 13 in y 3 y 5 m Cos A Tan A

8 The graph of y A cos x C D is shown for some constants A C and D Find the values of A C and D 2 V TT 2 TT 2 3TT 2 2TT N 1 2

1 Graph y 1 2 cos x TI TT V TT 2 1 5 1 0 5 0 0 5 TT 2 TT 3TT 2 2TT x

9 Identify the midline period amplitude domain and range of the function shown in the graph V 0 14 2 2TT 4TT N

10 Write two equations for the graph shown one using sine and one using cosine TT TT 2 3 2 1 0 T 2 TT 3TV2 2TT

6 The graph of y cosa is reflected across the y axis and horizontally stretched by the factor of following is affected A Range B Amplitude C Period D Domain 113 Which of the

Find the value of a in the parallelogram a Type an integer or a decimal AB Type an integer or a decimal BC Type an integer or a decimal CD Type an integer or a decimal AD Type an integer or a decimal B 2a 22 6 A a 1 5 22 5 C a 1 4 D

A scientist is studying how an antibiotic affects a bacteria colony The colony has a population of 20 000 when she applies the antibiotic Each hour after the application the population of the colony is of its size from the previous hour Let P be the size of the colony r hours after the scientist applies the antibiotic Which equation is an explicit formula for P in terms of r A P 20 000 t B P 20 000 2 C P 20 000 1 D P 20 000 5

7 20 m 530 8 75 30 ft 9 16 yd 15

9 16 yd 15

37 3 yd X

10 5 in 559 11 369 16 m 12 24 r 44 ft

4 12 cm 620 X 5 70 7 in X 6 X 13 ft 32

Amy is helping plan her school s new basketball court The west edge of the basketball court is located on the line y 5x 2 The east edge cannot intersect with the west edge On which line could the east edge be located O y 5x 100 y 5x 100 O 5x y 50 O 5x y 50

In 5 6 Find the sine cosine and tangent ratios for ZB in each triangle 5 6 A B 12 15 9 C B 8 A 8 3 8 2 C

answers need to be in simplest radical form In 1 2 Find the sine cosine and tangent ratios for ZA in each t 1 2 2 3 B 2 A

7 Find the sine cosine and tangent for 45 9 9 2

In 5 6 Find the sine cosine and tangent ratios for ZB in each triangle 5 A 6 B 12 15 9 C B 8 0 A 8 3 8 2 C

In 3 4 Find the sine cosine and tangent ratios for ZM in each triangle 4 3 L 33 K 7 4 M K 22 M 16

8 Find the sine cosine and tangent for 60 6 30 4 3 2 3 60

4 Here is parallelogram ABCD A M D Prove segment AM is congruent to segment CM

2 Is the point 5 0 on the graph of y sin x Explain

5 Could this be the graph of y not sin x Why or why AN

Using graph paper In the Q2 quadrant make a PRE IMAGE of a picture using 8 points or more if need be but not much more List all your points on a separate piece of paper in one column NEXT In quadrant Q1 on the graph paper TRANSLATE the pre image using any translation rule List the points on the separate piece of paper including your translation rule Draw an arrow from the pre image quadrant to the one where you translated on the graph paper NEXT In quadrant Q4 on the graph paper ROTATE one of your other images 90 degrees Again list your points on that separate sheet of paper including your rotation rule Draw an arrow from the image you used to the one where you rotated on the graph paper NEXT In quadrant Q3 on the graph paper REFLECT one of your other images Again list your pionts on that separate sheet of paper including your reflection rule Draw an arrow from the image you used to the one where you reflected on the graph paper FINALLY Dilate the image enlarge or shrink in the Q3 quadrant State what your dilation is then list your new points based on your dilation If you decide to do a different order of transformations for Q1 Q4 and Q3 that s fine just make sure you track what you are doing and notate it on your coordinate lists www daisypaper com

cos 3 x sin 2x x sin x x sin 2x x sin x cos x Some trigonometric expressions are written in the squares given in the figure Which of the following figures can be obtained by combining four equal expressions

15 3x 2y 2 Find the slope a 2 3 c 2 3 b 3 2 d 3 2

10 5 in 25 in 24 in 11 X

The lengths for the sides of a triangle are given Classify each triangle as acute rig 14 3 3 4 15 15 12 9

In 8 11 Use Pythagorean s Theorem to find the value of the variable Answers should be in simplest radical form drawings are not to scale 8 3 2 in 7 5 in X 9 10 cm 14 cm X

n 16 19 Find the value of each variable Answers should be in simplest radical form 5 17 45 X 459 14 X 45 24 45