Geometry Questions

LPQR is adjacent to LRQS LPQS is 110 and ZRQS is 34 Find the measure of LPQR

Write the polynomial as a product of linear factors x 3x 25x 75 x 3 x 5i x i Ente

Enter the letter for the function graphed below 3 a y x 2 b y x 2 c y 3 3 x 2 2 x 2 2 d y e y x 2 Enter

The population of insects in an experiment has been increasing by 9 each week If there were 16 insects at the beginning of the experiment predict how many insects there will be after 8 weeks First complete the equation Future Amount 1 initial amount growth rate time periods

Prove that ABCD is not a parallelogram 9876543N 2 1 A O B D 1 2 3 4 4 5 5 6 6 C 7 7 8 9 X

What is the volume of the following figure Please explain how you got your answer 3 in 8 in 11 in

How many vertices and edges does this shape have

14 In the circle MN is a tangent and MK is a secant If ML x 3 LK find NM x 3 x 3 x 48 16 and MN x 3 K x 3 M L 16 x 3 N

Lesson 5 Splitting Triangle Sides with Dilation Part 1 Cool Down Missing Length What must be true about segment MN 2 C N 1 A 1 8 M 6 3 6 B I

5 Find the surface area of the regular pyramid 9 in 312 12 in

Solve for x Round to the nearest tenth if necessary F 8 8 X 72 E

6 Find the surface area of the solid 5 8 10

15 In the accompanying diagram LN and LS are secants If LM 4 NM KS x 5 find the length of LN S x 5 8 LK 3 and N x 8 M K 3 4

A B 10 7 D U 8 19 LL 13 F Lin knows that angle A is congruent to angle D She claims that triangles ABC and DEF must be similar Convince Lin that the triangles are not similar

The angles of triangle ABC are in the ratio of 8 3 4 What is the measure of the smallest O 12 O 24 O 36 O 72

point Suppose nd an invertible matrix P and a diagonal matrix D so that A 16 9 30 17 PDP Use your answer to find an expression for A7 in terms of P a power of D and P 1 in that order A

2 Find the exact surface area of a hemisphere that has a diameter of 22 m

Reflect STU over ST Rotate S T U clockwise 180 degrees around point U In parallelogram HIJK the measure of angle H is 45 Find the measure of angle J H 45 Your answer K In parallelogram HIJK the measure of angle H is 45 Find the measure of angle K 1 point 1 point

Enter the letter for the function graphed below a y x 5 b y x 5 c y 5 x d y x 5 e y x 5

Mr Adams had 24 guests at his house for a party Each guest brought one item One third of the guests brought drinks One fourth of the guests brought a dessert 10 The rest of the guests brought chips How many guests brought chips

the width w of the rectangle cm Your width measurement

The measure of angle Q is 75 degrees What is the measure of angle P R O40 O 70 30 110 P 1p

1 Find the exact surface area of the solid 6 cm 18cm

Cool Down Lift Off Shortly after takeoff an airplane is climbing 250 feet for every 1 000 feet it travels Estimate the airplane s climb angle while this is happening I B 1000 C 250 A

By Whether you could prove the triangles congruent using Side Side Side Triangle Congruence Theorem Side Angle Side Triangle Congruence Theorem Angle Side Angle Triangle Congruence Theorem None of the above 1 Triangle ABD is congruent to triangle ACD 2 Triangle EJH is congruent to triangle FIH A 3 Triangle LKN is congruent to triangle MKN D

b CH alpha a is alpha is beta is gamma a beta Given a triangle ABC with y 90 B 36 and a 12 find the values of the remaining parts of the triangle gamma B degrees Round all answers to 2 places after the decimal point Give angles in degrees but do not type degrees or any units after any of your answers Submit Question

A map of Jane s town with her house and workplace is shown Workplace Home Key 1 block Jane wants to determine the shortest route from her house to her workplace She walks only on the sidewalks indicated by dotted lines on the map What is the distance of the shortest route to the nearest whole block

Three vertices of Parallelogram PQRS are shown Q 8 5 R 5 1 S 2 5 Fill in the statements and reasons in the table to complete the proof to show that Parallelogram PQRS is a Rhombus 1 2 SR QR SR QR PS QR 6 Parallelogram PQRS is a shombus Statement 1 Select Statements Statement 2 Select Reason 2 Select Statement 6 Select Reason 6 Select D Pythagorean Theorem 2 Substitution Definition of congruent line segments Property of a parallelogram 6 Definition of a thombus Reasons

Cool Down Finding Unknown Values in Right Triangles Find the lengths of segments AB and BD Then check your answers using a different method 3 2 I D 3 1 8 C

similar U SSS SAS AA W F G none of the above the triangles cannot be proven similar Write a similarity statement E

A point is chosen at random from within the circumcircle of a triangle with angles 45 75 60 What is the probability that the point is closer to the vertex with an angle of 450 than either of the two other vertices Sol 3 8

5 BO BD is a radius and BA is tangent to circle O Find the value of x

For the right triangles below find the values of the side lengths a and c Round your answers to the nearest tenth 45 a a 0 C 45 7 X 60 5 30 8

AB BG AC GC LABC LGBC G B T 1 What rigid transformation will take triangle GBC onto triangle ABC 2 Explain why G will coincide with A 3 Is triangle GBC congruent to triangle ABC Explain your reasoning

A translation is applied to triangle PQR to create triangle P Q R 10 8 6 L a Select O 20 10 8 a 2 L 8 10 Q D 2 4 6 Let the statement x y a b describe the translation Create equations for a in terms of x and for b in terms of y that could be used to describe the translation 8 10

2 AB and AD are tangent to circle Q Find the value of B X 8 5x 4 Q D

Find the following in circle P K 84 P 73 N L M 3 arc MN x 3 4 4 are LM 5 ZJPN

15 Find the volume of the pyramid 20 m 30 m 24 m

0 0 AA O yes ASA O not congruent O yes SAS 00 00 00 05

Find the exact circumferenc 5 area 196 mi

Find the length of the hypotenuse Round your answer to the nearest hundredth 7 Show Your Work 4 O 9 95 8 06 3 32 O 11 00

Use these two triangles to answer questions 7 and 8 Given ZA 50 ZB 100 AABC APRO B A 14 What is mzQ OA 20 OB B 30 OC 50 O D D 100 22 4 C P 20 R 32

Required GivenDE BC Which proportion is justified by the image A 18 18 24 28 34 24 32 8 O 18 24 O 18 24 24 8 8 O 18 2 4 24 D 6 C E 8 B

Part of an ancient coin was discovered It was measured and only an 80 section of it was left If the coin had a radius of 0 9 inch what is the area of this sector of the coin in square inches 0 81 T O 0 64 T 0 36 T 0 18 T

Required Given AKLM ARST Which congruent statments would be true K M Show Your Work R OKMRT and LK ST OKMRT and LM LS OLKLR and KM RT OZKLR and ZM ZS

Find the volume of the composite figure 5 in The volume of the composite figure is 2 in 8 in cubic inches 2 in 5 in

quired What is the volume of a cylinder with base radius 2 in and a height of 5in 2 5

A x 70 76 A x 70 76 41 Show Your Work 41 B O 187 O 63 7 7

If the m FMN x 20 m FML x and m LMN 150 Find the m FMN N F M L

Based on the diagram which congruence statement is true B AC DE ZACB LEDC ZC ZD