Geometry Topics

The circumcentre of triangle DEF is O and DM is perpendicular to EF DE 5cm DF 3 5cm DM 2cm What is the radius of the nine point circle of the triangle

Solve for 0 if 8sin0 4 43 4 and 0 0 2 List your answers as exact answers in terms of separated by a comma if necessary

For the given data 18 3 11 2 5 7 21 5 18 5 4 1 10 8 17 0 19 1 13 7 Find the Class Weight assuming 3 groups Round approriately 711

Solve for x to make A B 13x 14 A x 11x 28 B

H 7 in 15 in 12 in

Quadrilateral QRST has vertices at Q 6 2 R 4 6 S 4 4 and T 1 8 Is QRST a right trapezoid Justify your answer Yes QT and RS are parallel to each other and perpendicular to ST Yes QR and ST are parallel to each other and perpendicular to RS No none of the sides are parallel No none of the sides are perpendicular

12 The length of a rectangular garden is 4 less than twice the width Find the perimeter and area of the garden

6x 8 9x 11x 20 10 What is the area of the shaded area 4x 7x 2 16x 5 11 What is the area of the shaded area

10 Use the following sets to define each set below a ANB c AUC e BOC A 4 7 10 14 17 20 B 1 4 9 14 20 b BUC d ANC f AUB C 2 3 7 10 17

3x 2x 5 3 What is the perimeter 4 What is the area 5 V 6 V

18 A all students at Blue Ridge High School B freshman at Blue Ridge High School 19 A the set of integers B factors of 60

This is a 2 page document Directions Define each set and classify it as a finite or infinite set 1 The days of the week 1 2 Odd numbers greater than 9 3 Months with exactly 30 days 4 Positive factors of 24 5 States that begin with the letter B 6 Multiples of 7 N 3 4 5

Given mAB x Prove m 1 X A B 180 x Given m 1 62 m 2 26 Find mCE and mBD A 2 B D 1 C

O On a recent survey students were asked if they ice skate snowboard or ski The Venn diagram below shows the results of the survey Ice Skate 6 7 4 2 3 10 8 N 13 Snowboard Skl a How many students ski or snowboard b How many students ice skate and ski c How many students ice skate ski and snowboard d How many students do not ski or ice skate e How many students just snowboard f How many students do not ice skate ski or snowboard g How many students ice skate h How many students do not snowboard 1 How many students took the survey

11 Suppose the universal set contains the natural numbers that are no more than 20 Sets A and B are formed from the universal set such that Set 4 is the perfect squares from the universal set and Set B is the odd numbers from the universal set Represent the elements of these sets by labeling the Venn diagram to the right U Directions Use the Venn diagram in 11 above to define each sef 12 A 13 B 14 ANB 15 AUB A B

7 If U 2 4 6 8 10 12 14 16 and A 6 10 14 what is A U X2 9 If the universal set contains natural numbers that are at most 25 and 4 is the set of multiples of 3 that are less than 20 define each set A 8 If U is the set of the numbers on a 6 sided die and B is the set of numbers on a 6 sided die that are greater than 3 find B