2D Geometry Questions and Answers

In the figure A B C and D are points of tangency calculate x a 20 d 36 B A 130 b 60 778 D D c 40

Determine the leading coefficient for the rational function graphed below Write as a reduced fraction with no spaces

90 B 26 26 A D C Drag the RED and GRE below Then solve the following situation algebraically on the whiteboard below ZABD and ZCBD form a linear pair and have EQUAL measure m ZABD CHF Submit

Find the value of x in the isosceles triangle shown below 80 83 8 80

If these are the degrees for the top of a hat measuring 7 5 8 I needed to know what the degrees for 7 7 1 8 7 1 4 7 3 8 7 1 2 7 5 8 7 3 4 and 8 would be So I just needed to know the degree of each angle at those measurements Hat 75 8 62 5 Degrees 55 degrees 62 5 Degrees 62 5 Degrees a 55 degrees 62 5 Degrees

Use the Pythagorean Theorem to find the value of x to the nearest tenth if necessary X 14 13

Use SOH CAH TOA to find the value of x to the nearest tenth 7 8 34

The distance from the star S to the planet X is approximately 148 700 000 kilometers km The distance from S to the planet Y is approximately 57 900 000 km The elongation angle a is the angle formed between the line of sight from X to S and the line of sight from X to Y See the figure on the right Suppose that the elongation angle is 13 Use this information to find the possible distances between X and The larger distance from X to Y is Do not round until the final answer km Then round to one decimal place as needed

11 If ARST is isosceles find mZS 15x 31 R T 9x 11 S

2 Find m DAB if AC bisects LDAB A D 2x 40 x 7 B

Marcus has a balance of 2 800 on his credit card The credit card has an annual interest rate of 15 compounded monthly 1 25 each month Marcus uses his credit card for various expenses throughout month and at the end of each month makes a 325 payment Use this information to complete the table below Round to the nearest cent as needed Month 1 2 3 4 5 Prior Balance 2800 2806 09 1 25 Interest on Prior Balance 35 99 Additional Charges 378 280 216 477 Monthly Payment 325 325 325 325 Ending Balance 2800 2806 09

What is the value of x in the triangle ABC if the given triangles are similar A C 5 cm O 10 cm O 12 cm 16 cm 10 X B E 14 cm D 7 cm F

a Apply the Brute force algorithm to find the minimum cost Hamiltonian circuit on the graph below 10 Marks 9 9 s 6 5 15 14 N H 10 8 12 g 30 20 h b If a sequence has a first term of an 12 and a common difference d 7 Write the formula that describes this sequence Use the formula of the arithmetic sequence Hint Use the brackets for subscripts eg for an you can use a n 5 Marks GRA

10 miles Q Eric walks around a man made circular lake pictured above four times How far in miles has he walked Eric has walked a total of miles Use 3 14 or the button on your calculator Round your answer to the nearest tenth Question Help Worked Example 1 Video

3 Which is the angle of elevation from the boat to the lighthouse 1 2 1 1 1 3 1 1 4

m21 2x 3 m25 4x 7 H These angles are which are always X m41 m45 angles Diagram not to scale N P M4 2 1 3 4 A 5 T R

5 In the two triangles pictured below m A m D and m B m E Using a sequence of translations rotations reflections and or dilations show that AABC is sim to A DEF

8 cm D 2 cm E A X 12 cm b What is the length of XF Explain your reasoning C F B a ABCD is a parallelogram and EF is parallel to AB What triangles are similar to triangle AEX Show your thinking

Polygon ABCD is congruent to Polygon WXYZ Find x and then m BCD and m XYZ D x A 9x 11 B m2 BCD m XYZ C Z Y 11x13 Note Always make sure the value of a produces positive angles W

Find the measure of the missing angle in the following figure if the two lines cut by a transversal are parallel 60

Then describe the tra language and specific number in the textbox T Vi 8 Graph x y 2x 2y A 2 3 B 4 2 C 2 5 X T 5 fi 8 5 0 A

Given quadrilateral ABCD where the diagonals AC and BD intersect at point E AE EC and BE DE Can you prove can you prove that the figure is a parallelogram Explain A Yes opposite sides are congruent B Yes diagonals of a parallelogram bisect each other C No you cannot determine that the quadrilateral is a parallelogram D Yes two opposite sides are both parallel and congruent

Find the value of x Y 5 5 T P A 5 5 B 1 1 C 6 6 D 8 8 x 12 1 W M

Find 0 if tan 0 3 6 0 0 360 Round to two decimal places and use a semicolon to separate answers if there is more than one answer

Find the lateral and surface area Write either in terms of x3C0 or rounded to the hundredths 9 in Lateral Area Surface Area 22 in

Step 1 How many ways can you choose 3 Jolly Ranchers in a jar containing 15 Jolly Ranchers This is n S Step 2 n S 15C3

bu roll a 6 sided number cube Use the complement to determine the probability of not rolling a 4

right triangle 6 7 8 A 16 x 3 M 16 B 8 12 x 3 20 16 6 6 9 Find the length of segment NM K A N 13 12 B B 10 Find the length of segment HG

S x 5 S x 8 M F 10 4 9 Find the length of segment CE E K N 3 2x 17 4 9 W 2 10 Find the length of segment KM L D C

A coin is flipped 10 times and the result is recorded What is the probability of getting exactly 4 tails

How many different permutations can be formed using all the letters in the word COLORADO

The height in centimeters of a candle is a linear function of the amount of time in hours it has been burning When graphed the function gives a line wit slope of 0 3 See the figure below Suppose that the height of the candle after 20 hours is 23 centimeters What was the height of the candle after 13 hours Candle height in cm 23 20 Burning time in hours centimeters X S

Set B and Set C are grouped according to the Venn Diagram below Set B is 9 12 14 17 18 and Set C is 6 9 11 12 18 19 The sample space is 1 6 9 11 12 14 17 18 19 20 Find P C point 1 17 B 12 20 O 18 C 19 6

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13 What is A U B 1 point

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13

In a standard deck of cards there three royal cards Jack Queen and King How many different combinations of these three cards are there Keep in mind that there are four of each royal card

There are 7different crayons shown Two crayons are chosen at random What is the probability that the two crayon chosen crayons are silver and green 72 A Use the following formula for the problem below P A n S n S Total Sample Space of outcomes cadet blue silver salmon yellow gre turquoise blue wild strawberry green

A bag contains 26 tiles each with a different letter of the alphabet written on it You choose 3 tiles from the bag without looking What is the probability that the tiles you chose consist of the letters A B and C Leave your answer as a fraction th 6 11 4 O 3 U B 03

There are 7 ice cream flavors to choose from How many different combinations of triple scoops are possible

There are 10 applicants for four Computer Programming positions In how many ways can you possibly hire four people

There are 13 players on the Volleyball team Six players are actively on the court at any given time How nany team arrangements are possible

the area of the trapezoid 10 ft D ct one 156 ft 16 ft 78 ft C d 13 ft 78 2 ft eck 45 the area of the kite 3 cm 3 cm 3 cm

Find the area of a trapezoid with bases 8 in and 7 in and height 5 2 in

Click here to watch the video Use identities to find values of the sine and cosine functions for the angle measure e given that cos 20 12 13 and 90 0 180 CRED 26 sin 0 26 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators cos 13 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

Find the area of the rhombus Each indicated distance is half the length of its respective diagonal ft Simplify your answer 5 ft 3 ft Save

Find the area of the trapezoid If the answer is not an integer leave it in simplest radical form The figure is not to scale A ft Type an exact answer using radicals as needed 14 ft 25 ft 7 ft

Find the area of the trapezoid to the nearest tenth A m 0 5 m 1 0 m 45 1 2 m

K Find the area of the trapezoid with bases 18 cm and 6 cm and height cm Simplify your answer 16 cm

Find the area of the trapezoid A

Find the value of h for the parallelogram 8 h 4