Geometry Questions

Find the perimeter of the room given the blueprint shown below 4 cm A B 5 cm G LL F 1 cm 3 5 ft 2 cm E 2 cm

6 5x2 4 H

13 Find x and y Ke 71 X2 to vita y 80

He whether each of the following quadrilaterals can be classified as a parallelogram based on the markings shown in each figure th image into the appropriate category AG DROP THE ANSWER Parallelogram 17 Q Q Cannot determine not enough informatio

Draw EA EA AE AEGA AAME ZGEA ZMAE LGAELMEA EG AM GA ME GAME is a parallelogram exactly one line Reason SSS Congruence Theorem Corresponding parts of congruent triangles are congruent Reason Definition of a parallelogram A Reflexive Property of Congruence Same Side Interior Angles Converse B Reflexive Property of Congruence Alternate Interior Angles Converse C Transitive Property of Congruence Pairs of congruent segments are parallel

3 In the diagram of circle A m2D 38 Label the measures of ZBAC and mBC on the circle B

10 Identify the measure of x 80 x e 60

12 Circle O has an mBOC 118 and the radius OB 7 cm Determine the arc length of AB to the nearest tenth A Which student below has set up the correct equation Student A 118 S 2 7 360 80 Student B 62 S TC 72 360 Explain what the other two students did incorrect Student C S 2 7 62 360 C B

15 Would the point 3 4 lie outside of Circle A x 1 y 4 96 Explain how you know

Bonus QS is a median of APQR with point S on PR If PS x 3x and SR 2x 6 find the possible value s of x

13 The equation of a circle is x 10y y 4x 4 Identify the center and radius

11 Find the diameter of a circle with an area of 74 mm Round your answer to the nearest tenth

14 Given a circumference of 24 cm what is the equation of a circle with center 0 9 a x 9 y 12 b x y 9 144 x y 9 2 12 d x y 9 24 C b Now determine the area to the nearest tenth

7 In the circle above ABCD is a quadrilateral and mA 8x 15 mzB y 10 mzC x 75 and m2D y 10 Which angle is greatest in measure in the quadrilateral A acib odal E lo esimenom od B

9 The center of a circle is 5 4 and one point on the circle is 5 10 What is the length of the diameter Hint Draw a quick sketch or use the distance formula to start do diapel aroun

5 Determine the value of x 9 3 18

8 A circle in the xy plane has equation x 2 y 2 4 Which of the following points lies in the interior of the circle a 1 0 b 2 1 c 0 0 d 3 2

Which of the following is equivalent to S a 330 b 45 c 225 d 150 ii Which of the following is equivalent to 270 a b C d ENEINGIN 2 3 2

4 Use the circle below to answer the following questions i Determine the area of the shaded sector in terms of a b C d d 135T cm 2 9 m 2 45 cm 11 cm 18 ii Determine the length of the arc bounded by the shaded region in terms of 135 a 2 b 9 m C cm 45 m 117 cm 18 48 72 15 cm

All rectangles are parallelograms Some rectangles are trapezoids All parallelograms are rectangles All kites are rhombi All squares are rectangles True False O

2 The equation of a circle is x 5 y 12 The radius and the center of the circle are given by Radius 6 Center 5 0 b Radius 2 3 Center 5 0 Radius 2 3 Center 5 0 a C d Radius 6 Center 5 0 3 the m

sosceles trapezoid ABCD has base angles that measure 82x 14 and 142 16 Find the indicated measurement below x

Which word below completes this antonym analogy intimidating pleasant sedentary A sluggish B active C immobile

Identify the missing reasons that will complete the following proof E G Given EG AM GA ME Prove GAME is a parallelogram Statements EG AM GA ME Draw EA M A Given Reasons Through any two points there exist exactly one line

S A CT 10 B RA 4 C SR 5 H R If SR x 3 and SA 3x 1 determine which of the following values is correct D RT 8 shown below A T

For Questions 19 and 20 refer to the figures DF AB DE mLA m2D 19 Given AC Which can be concluded by the Hinge Theorem A AABC ADEF C BC EF B BC EF D BC EF B E 20 Given AB DE BC EF AC DF Which can be concluded by the Converse of the Hinge Theorem FmLB mLE HmLB mLE GmZB mLE J ABAC AEDF D

8 Given quadrilateral QUAD is a rhombus and m QUD 33 find the measure of each numbered angle D m 1 m 2 m 3 4 m 4 2 3 A degrees degrees degrees degrees

Hiption is true for all parallelograms four right angles diagonals bisect each other opposite sides are congruent opposite angles are congruent diagonals intersect at right angles True for all parallelograms Not true

Find the sum of the interior angles of the figure shown below

Find the value of x in the figure below 64 3x 57 4 x 50

G A Determine which of the following values are correct Select all that apply x 17 B x 7 6x 12 C m F 114 F D m R 66 E m O 136 7x 5 m G 44 R

18 BF is a median of ABEC If EC 15 find FC F 5 H 10 G 7 5 J 30 A

18 BF is a median of ABEC If EC 15 find FC F5 H 10 G 7 5 J 30 A DE

17 Which of the following sets of numbers can be the lengths of the sides of a tri A 12 9 4 B 1 2 3 C 5 5 10 D 2 5 18

16 Choose the assumption you would make to start an indirect proof Given a b Prove 21 and 22 are not supplementary Fallb G21 and 22 are supplementary H 41 42 JZ1 and 22 are complementary

15 Choose the assumption you would make to start an indirect proof of x 3 Ax 3 Dx 3 Bx 3 Cx 3

13 Find the value of x A 5 B7 C 10 D 15 M x 3 TA 5 W

Sunflower oil is a cooking ingredient that can be used as a substitute for olive oil The density of sunflower oil is 0 925 grams per cubic centimeter A farmer would like to sell bottles of sunflower oil that contain 370 grams of oil What is the volume of the smallest container that holds 370 grams of oil O 0 0025 cubic centimeters O 27 75 cubic centimeters O342 25 cubic centimeters O 400 cubic centimeters

Here is a rectangle with some triangles inside it B E C A F D A Which triangles are similar to triangle AED Explain or show your reasoning B The length of segment EF is 16 units and the length of segment ED is 20 units Find th length of segment FA Explain or show your reasoning X 2 m 53 B 22 BIUS X x

Enjoys playing video games Does not enjoy playing video Plays an organized sport 31 22 Does not play an organized sport 32 15 games One of these 100 students is selected at random to give more detailed answers to some follow up questions A What is the probability that the chosen student enjoys playing video games or plays an organized sport B What does P Enjoys playing video gamesldoes not play an organized sport represent for this survey C Calculate the value of P Enjoys playing video gamesldoes not play an organized sport

13 Find the value of x A 5 B7 C 10 D 15 x 3 TA 5 W M

Suppose triangle ABC can be taken to triangle A B C using rigid transformations and a dilation Select all of the equations that are true O A C AC BA BA B C BA B A AC A C BA CA CB C A C B A B C B AB CB BC B A

A cylindrical cup measures 12cm in height When filled to the very top it holds 780 cubic centimeters of water What is the radius of the cup rounded to the nearest tenth Explain or show your reasoning

Consider this figure F graphed as shown A Transform figure F using the rule x y x 1 y 2 Size Undo Clear All O F 5 5 0 5 10 5 B Describe the transformation precisely C Does the transformation result in a figure that is congruent to the original similar to th original both or neither

Question 1 2 5 Y X Find mZX O 21 04 O22 62 O 67 38 O 68 96 13 12

8 What is the area of the circle given by x 1 y 64 to the nearest hundredth

12 Find the possible values for mz 1 F 180 mz1 62 G 90 m 1 62 H0 mz1 62 Jmz1 118 62

9 Which angle in AABC has the greatest measure A LA BLB CLC D cannot tell A 5 B 9 C

d 7 2 r 4 6 3 Write the equation of circle B y x 6x 2y 26 then find the area and circumference to the nearest tenth 10 RS

10 Which theorem compares two sides and the included angle of two triangles F Hinge Theorem G Converse of the Hinge Theorem H Exterior Angle Inequality Theorem I Triangle Inequality Theorem