2D Geometry Questions and Answers

3 Mr Wade is making a fence for his dog He wants to make a triangular pen for his dog He designs a pen with vertices A 2 3 B 5 1 and C 6 9 What is the area of the triangular pen Area of triangle bxh 4 marks 10 8 6 10 B 6 4 2 4 2 2 2 A 6 8 10

4 In isosceles APQR mLQ 90 If PQ 2 grid in the length of PR Inols rols

33 An airplane leaves an airport A with an angle of elevation of 37 When the airplane is at 300 ft it is directly above Timothy T Grid in to the nearest foot how far away from the airport Timothy is A 37 300 T

31 Using AABC below which of the following lists the sides of AABC in order from smallest to largest Assume the mzB 90 a AB BC AC BC AB AC AC BC AB d AC AB BC b C A 11 C 37

If BD 8y 82 and BF 5y 40 find BF in parallelogram CDEF C D BF Submit B E F

What values of y and z make AABC AXVW 8z y 18 y Z B A 20z 8 C X z 4y 1 W 18z V

50 A triangular metal frame has sides 8 feet 12 feet and 16 feet What is the measure of the largest angle between any two sides of the frame a 104 30 b 29 0 c 75 30 d 46 30

Find the value of x that makes quadrilateral BCDE a parallelogram C X D x 19 3x 67 B E

Which angles are supplementary angles Y W X S U T ZUTW and STR ZVWT and ZXWY R ZVWT and ZVWY ZVWY and ZSTW

Find m2T in rhombus STUV T T O S 3c 34 C 94 U V

Which angles are supplementary angles N Q T R O M POR and NOM ZPOM and ZPOR P S ZQRO and NOM ZNOR and ZSRO

Steve is buying a farm and needs farm Steve who is 5 feet tall not shadow of the silo is 88 ft long H

Can you show that this quadrilateral is a parallelogram yes 33 no 33 34 34

K a Determine th b If a side of th Nonagon

49 A triangular metal frame has sides 8 feet 12 feet and 16 feet What is the cosine of the largest angle a b C d 82 122 162 2 8 12 82 162 122 2 8 16 122 162 82 2 12 16 162 82 122 n

38 A a 55 50 b 48 40 c 41 20 d 47 30

What values of x and y make AIJK AWUV x 36 K x X y I 3y J y 12 W U 3x

47 On the top of a hill stands a tower that is 50 feet tall From a point that is on the same level as the base of the hill the angle of elevation to the top of the tower is 56 and the angle to the bottom of the tower is 51 What is the distance from the given point to the bottom of the tower a 74 feet b 321 feet c 446 feet d 47 feet

To answer questions 37 40 use this information to find the unknown parts of the triangle a 12 b 15 c 18 37 cos A a b C d 152 182 122 2 15 18 152 122 18 2 12 18 122 182 152 2 12 15 122 152 182 2 15 18

Find CD in parallelogram ABCD 2z 13 A CD B D z 17 C

Which angles are alternate exterior angles M P S N Q L ZMNL and ZMNQ ZMNL and ZRQS O R ZMNL and PQS ZMNL and ZRQN

41 Given a 12 b 15 c 21 what is the value of s in the formula for a a 36 b 48 c 16 d 24

To answer questions 33 36 use this information to find the unknown parts of the triangle a 22 b 10 C 70 33 c a b 102 222 2 c 222 102 2 222102 2 22 22 22 d 222 102 2 22 10 cos 70 10 cos 70 10 cos 70 10 cos 70

Which angles are consecutive interior angles E H D F I ZEFI and JIK ZEFI and HIF K G J ZEFI and GFI ZEFI and ZHIK

Find the value of z in parallelogram RSTU 9z 100 N S R T 3z 16

Quadrilateral PQRS is a square What is mZPQT P mzPQT T S R

Look at this diagram Q N O P K L M J If KM and NP are parallel lines and mZMLO 70 what is m

18 AB is the image of DE after the transformation D4 The endpoints of DE are D 0 0 and E 6 8 Grid in the length of AB 4 10 S 0 2 6 4 M 2 22

7 Which of the following has the greatest value A sin A B cos A C tan A D sin C Quarter 3 Interim Assessment A B 10 8

Use the following information below to answer questions 8 and 9 1 In AABC mzB 90 BA BC and AC 8 2 8 What is the length of one of the legs in triangle ABC A 8 B 8 3 C 16 D 32 9 What is the most specific classification for triangle ABC A Isosceles Triangle B Right Triangle C Right Isosceles Triangle D Scalene Triangle 384 8 8

Complete the equations to prove that vertical angles always have equal measure M N In terms of b and a number in degrees c In terms of b and a number in degrees a Combining these equations to get a in terms of c a

6 AABC AXYZ AB 8 cm BC 9 cm XY 4 cm and the area of AABC is 36 cm What is area of AXYZ in square centimeters A 4 cm B 9 cm C 18 cm D 36 cm

2 1 The perimeter of equilateral triangle ACDE above is 39 cm and AB is a midsegment What is the perimeter of quadrilateral ABED A 13 cm B 19 5 cm C 26 cm D 32 5 cm AABC maps onto A B C after a dilation TI tog af L E

11 In right triangle ABC above point D not graphed is on BC with endpoints B 3 2 and C 4 1 What is the slope of altitude AD A B C 2 D 7 1 7 and s B A

2 AABC maps onto AA B C after a dilation The coordinates of AABC are A 6 6 B 6 9 and C 9 6 In the figure above what is the scale factor that maps the pre image onto the image A B 1 C 2 3 D 1 312 512 Ay B

12 In which quadrant is the angle A QI B QII C QIII D QIV

16 What is the value of 75 in radians 5TT A 8 5TC B 12 C 0 3 D 102 in loist inlo

Draw the reference triangle Annotate all sides of the triangle Label the reference angle in degrees Identify and simplify the trig ratio in simplest radical form sin 7 3

Use the diagram below to answer questions 13 14 13 What is the value of tan 45 in simplest radical form B 3 C 1 D 14 What is the value of cos B 2 151 60 45 30 s nisido som

F E D B A 17 In the diagram above AABC ADEF AC x 5 DF 2x CB 32 and FE 16 Grid in the length of AC

15 What is the value of sin 270 A 0 B 1 C 1 D Undefined OUR OK blo

Which angles are alternate exterior angles Q O P N K ZMLJ and ZNOQ ZMLJ and POL L M J ZMUJ and KLJ ML and NO

What values of w and x make ARST AFDE S W X R 5w X 9 T W 36 D E 2x F

Find VW in parallelogram VWXY W 2a 59 Y

Find the value of x in rhombus ABCD C D 4x 100 B 2x 62 A

Which angles are consecutive interior angles E B A C H G D F ZGFC and BCF ZDCA and LGFC ZBCF and ZEFC RCF and BC

What values of y and z make ACDE AFHG C 15 y D y 37 E H Z 6 G F 41

Which angles are consecutive interior angles S V R T W ZUTW and ZUTR UTW and WT U X ZUTW and ZSTW CUTI 20 YUCT

Find the value of p in rectangle CDEF C D 2p 57 P F 2p 91

Which angles are alternate exterior angles U R S T 0 Q ZQPN and ZOPN P N ZQPN and TSP