High School Geometry Questions

16 Rectangle WXYZ W Y Z X WZ 10x 7 XY 6x 19 x 17 Square DEFG D 8x y E x 10x 2x 24 y F G 7x 9

4 Find TQ R 2x 5 14 2x 1 2 P T 18 S S

Among the following electrons which type has the highest energy Backscattered electrons Secondary electrons

Any solid material if conductive exhibits cathodoluminescence CL True O False

X rays only happen when high energy electrons bombard metals but not for nonmetals True O False

Find the area of each regular polygon Round to the nearest tenth 1 2 8 m 10 cm

34 Yukar daki birimkare zeminde verilen mavi renkli noktadan ikisini k e birini a rl k merkezi kabul eden bir genin alan ka birimkaredir A 20 O B 21 C 22 D 24 E 30

3 Rhombus H 1 3 I 2 7 J 2 6 K 3 2 HJ IK Slope HJ Slope IK

Look at the graph 5 10 5 0 5 10 What is the equation of the horizontal asymptote

4 Kite R 5 7 S 2 6 T 5 3 V 4 0 RT SV Slope RT Slope SV

2 Rectangle M 3 2 N 4 1 O 2 3 P 3 0 MO NP Slope MO Slope NP

Graph each quadrilateral draw its diagonals for each diagonal find the length d x x y y and the slope m then describe the properties of that quadrilaterals diagonals 1 Isosceles Trapezoid A 3 2 B 4 2 C 4 2 D 3 2 AC BD Slope AC Slope BD

Specimen heating The fraction of the energy in the incident electron beam which reappears in the form of X rays light etc is small most being converted into heat in the target The temperature rise AT is expressed as AT 4 8Egl kd Eo is the incident electron energy keV the current A k the thermal conductivity Wcm K1 and d the beam diameter m Metals k 1 4 AT is negligible Mica k 6x103 Eo 20 keV 10 nA d 1 m T 160K

Find the area of the bolded sector Leave your answer exact Your answer will be inform with a and b as integers in reduced form Fill in the blanks with the values of a and b 240 14 km Area square yards a b

20 As shown in the diagram below the angle of elevation from a point on the ground to the top of the tree is 34 34 If the point is 20 feet from the base of the tree what is the height of the tree to the nearest tenth of a foot 1 29 7 2 16 6 3 13 5 4 11 2

3 M 3 0 N 5 2 O 3 4 P 1 2 MN slope MN OP slope OP MP slope MP NO slope NO

ap16Sec1 003 pg The figure below shows contours of g x y on the region R with 3 x 9 and 2 y 8 1 3 Using Ax Ay 2 find an overestimate and an underestimate for g x y dA

Write an equation for the y 3 x 3 1 y 3 x 3 1 y 3 x 3 1 y 3 x 1 3 If you are writing the equation of a line in Point Slope form and given these two points 5 6 and 2 1 Check all boxes that are correct below y 3 5 x 5 2 y 5 3 x 6 1 y 5 3 x 2 1 y 3 5 x 2 1 y 3 5 x 5 6

Find the EXACT lengths of the missing leg and hypotenuse A note on EXACT answers If your answer has a radical for example leave the radical in your answer If it is fraction don t round it as a decimal 8 m 45 n

JK J M G K 15 L P

A rhombus is a parallelogram with four congruent sides perpendicular diagonals and the diagonals bisect a pair of opposite angles A square is a parallelogram with all the properties of a rectangle and rhombus RHOM is a rhombus Find the unknown measures Treat each problem independently 5 If OB 2x 1 and BR 3x 10 then OR 6 If RM 18 then RH OH OM 10 7 If m22 48 then mZMOH M R 4 3 B 8 5 6

For problems 1 9 use rectangle QUAD Treat each problem independently 1 If DP 4x 1 and PA x 13 then DP 2 If m 2 12x 4 and m23 16x 12 then m23 3 If m25 12x 3 and m 6 10x 9 then mZ4 D 4 If m23 18x 8 and m 6 70 4x then mZ6 8 6 4 7 1 3 A

A kite is a quadrilateral with two pairs of adjacent congruent sides LMNP is a kite Find the unknown measures 12 If MN 4x 5 and NP 6x 1 then MN 13 If mZLMP 58 and mZLPM 7x 2 then x 14 If mZMON 8x 14 then x M

0 A trapezoid is a quadrilateral with exactly one pair of parallel sides In an isosceles trapezoid the legs both pairs of base angles and the diagonals are congruent TRAP is an isosceles trapezoid Find the unknown measures T O If TP 2x 3 and RA 3x 2 then TP If mZTPA 63 then mZRAP and m PTR P R

ABCD is a parallelogram Find each unknown measure 3 If DE 6 then EB DB B E C D 4 If AD 3x 6 and BC x 18 then x AD A E D

What is the area of the figure Round to the nearest tenth 9 ft 5 ft 13 ft O 55 0 ft O 81 0 ft O 45 0 ft C 1080 2

01 point I have a full cylinder paint can that I am going to pour my paint into my cone painting bucket Dimensions are below 36 inches 7 8 inches 25 inches 4 inches After I finish pouting the paint from the cylinder to the cone approximately how much paint will be left in the cylinder 274in 238in 286in 291in

E A B In the pentagon ABCDE LA ZB 90 ED DC AE BC Four points are marked on AB dividing it into five equal parts Then perpendiculars are drawn through these points as shown in the diagram The dark shaded region has an area of 13 cm and the light shaded region has an area of 10 cm What is the area in cm of the entire pentagon A B C E 45 47 49 49 58 60

In 13 18 Tell whether the statement is true or false If false explain why 13 A trapezoid is also a parallelogram 14 A square is also a rhombus 15 Diagonals of a rectangle are perpendicular 16 A parallelogram has exactly one pair of opposite angles congruent 17 A square has diagonals that are perpendicular and congruent 18 All quadrilaterals have supplementary consecutive angles

Geometry Worksheet 9 6 all of the quadrilaterals that have the given characteristic 1 all sides congruent 2 diagonals congruent 3 no parallel sides 4 diagonals bisect each other 5 two pairs of parallel sides 6 all angles congruent

3 To the nearest tenth find the perimeter of isosceles triangle IEF E 73 12

9 10

In ANAP mZN 87 AP 15 and mZA 25 Find the length of AN to the nearest tenth or explain why it is not possible

Find the length of GO Round to the nearest tenth G T 50 27 61

18 3 An antihistamine shows sharp peaks at Raman shifts of A 488 725 875 925 and 1350 cm At what wavelengths in nanometers would the Stokes and anti Stokes lines for the antihistamine appear if the source were a a helium neon laser 632 8 nm b an argon ion laser 488 0 nm

In 7 12 Identify all of the terms from the following list that apply to each figure quadrilateral parallelogram rectangle square trapezoid rhombus kite 7 8 H

11 12

5 The equation of a circle is x y2 8x 6y 9 0 Graph the circle Identify the domain and range x bx b x x2 8x1y 16y a Ex

A helicopter is flying at an altitude of 222 meters at an angle of depression of 43 to its landing pad What is the distance d between the helicopter and the landing pad Round your answer to the nearest whole number 43 222m Landing Padi

5 Q R Z 4 Y X 105 P

13 In 10 15 Find the measure of the numbered angles in each Kite 10 1 2 22 11 45 12 1 54 90 1 2 2

In 1 6 For each Isosceles Trapezoid find the measure of each interior an 1 2 77

6 B 60 C

13 64 1 3 14 50 13

ht 3

In 6 11 Find the measures of the numbered angles for each parallelogram 6 1 80 m21 7 1 2 8 110 3 140 3 1 2 m2 m2 ml mz2 mz3 mz3

5 G E D H F FD 8x 8 DG 3x 12 x FD

4 4 5 For each rhombus find the indicated information 3y 7 x y 31 2x 7x 4 length of each side 6y 11 5 E F G X FD FG H m24 FD 8x 8 DG 3x 12

1 Geometry Worksheet 9 4 each rhombus find the measure of the numbered angles 2 29 1 2 2 3 52 2 3 4 3 4 20 m2 4 mz2 3 mZ3 m4 m2 mz2 m 1 mz2 mz3 mZ4 mz3 m 4

8 Given that the area of the quadrilateral ABCD in the figure is 22 5 sq units find the coordinates of D The Ty 11 J A 4 3 B 3 4 T 3 F