Quiz about Geometry Final Study Guide

Question 1

What value of x would prove j || k?

Accepted Answer

x = 18

Answer

x = 6

Answer

x = 4

Answer

x = 8

Question 2

Determine if the lines AB and CD are parallel, perpendicular, or neither. A(-11, 5), B(-8, 4), C(8, -7), D(-1, -4)

Accepted Answer

Parallel

Answer

Neither

Answer

Perpendicular

Question 3

Determine if the lines are parallel, perpendicular, or neither. 4x + 5y = 10 and 5x - 4y = 28

Accepted Answer

Perpendicular

Answer

Neither

Answer

Parallel

Question 4

Use the statements below to write compound statements. p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard.

Conditional:

Accepted Answer

If Atlanta is the capital of georgia then there are 4 feet in a yard.

Answer

If Atlanta is not the capital of Georgia, then there are not 4 feet in a yard.

Answer

If there are 4 feet in a yard, then Atlanta is the capital of Georgia

Answer

If there are not 4 feet in a yard then atlanta is not the capital of Georgia.

Question 5

Use the statements below to write compound statements. p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard. Inverse: ________________________________

Accepted Answer

If Atlanta is not the capital of Georgia, then there are not 4 feet in a yard.

Answer

If Atlanta is the capital of Georgia, then there are not 4 feet in a yard.

Answer

If Atlanta is not the capital of Georgia, then there are 4 feet in a yard.

Answer

If Atlanta is the capital of Georgia, then there are 4 feet in a yard.

Question 6

Use the statements below to write compound statements. p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard. Converse: ________________________________

Accepted Answer

If there are 4 feet in a yard, then Atlanta is the capital of Georgia.

Answer

If Atlanta is the capital of Georgia, then there are 4 feet in a yard.

Answer

If there are 4 feet in a yard, then there are 4 feet in a yard.

Answer

If Atlanta is the capital of Georgia, then Atlanta is the capital of Georgia.

Question 7

Use the statements below to write compound statements. p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard. Contrapositive: ________________________________

Accepted Answer

If there are not 4 feet in a yard, then Atlanta is not the capital of Georgia.

Answer

If Atlanta is not the capital of Georgia, then there are 4 feet in a yard.

Answer

If there are 4 feet in a yard, then Atlanta is the capital of Georgia.

Answer

If Atlanta is the capital of Georgia, then there are not 4 feet in a yard.

Question 8

Methods used to prove triangles congruent include:

Accepted Answer

SSS, SAS, ASA, AAS, and HL

Answer

SAS, SSA, AAA, SSS, and HL

Answer

SSS, SAS, ASA, SSA, and AAS

Answer

SAS, ASA, AAA, SSA, and HL

Question 9

Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle. 5, 9, 10

Accepted Answer

Obtuse

Answer

Acute

Answer

Right

Answer

Not a triangle

Question 10

Determine if the triangles for b) below are congruent. If yes, state which method.

Accepted Answer

Yes, by SSS

Answer

Yes, by SAS

Answer

Yes, by ASA

Answer

No, they are not congruent

Question 11

Determine if the triangles for (a) below are congruent. If yes, state which method.

Accepted Answer

Yes, by ASA

Answer

Yes, by SSS

Answer

Yes, by SAS

Answer

No, they are not congruent

Question 12

Determine if the triangles for (c) below are congruent. If yes, state which method.

Accepted Answer

No, they are not congruent

Answer

Yes, by SSS

Answer

Yes, by SAS

Answer

Yes, by ASA

Question 13

Determine if the triangles for (d) below are congruent. If yes, state which method.

Accepted Answer

Yes, by HL

Answer

Yes, by SAS

Answer

Yes, by ASA

Answer

No, they are not congruent

Question 14

Westfalls is 7 miles south of Edenville and Concord is 13 miles west of Westfalls. What is the distance from Edenville to Concord?

Accepted Answer

14.8 miles

Answer

10 miles

Answer

20 miles

Answer

7 miles

Question 15

Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?

Accepted Answer

Rectangle

Answer

Rhombus

Answer

Parallelogram

Answer

Trapezoid

Question 16

Identify the line of reflection.

Accepted Answer

x = -2

Answer

x = 2

Answer

y = -2

Answer

y = 0

Question 17

Identify the line of reflection.

Accepted Answer

x axis

Answer

y = -x

Answer

y = x

Answer

y axis

Question 18

The ratio of the measures of the sides of a triangle is 21:8:14. If the perimeter of the triangle is 215 inches, find the length of each side.

Accepted Answer

Lengths are 105 inches, 40 inches, and 70 inches.

Answer

Lengths are 84 inches, 56 inches, and 75 inches.

Answer

Lengths are 90 inches, 60 inches, and 65 inches.

Answer

Lengths are 100 inches, 50 inches, and 65 inches.

Question 19

Find the scale factor of Figure A to Figure B.

Accepted Answer

Scale factor is 0.56 (using 14/25.2 or 20/36)

Answer

Scale factor is 1.8 (using 25.2/14 or 36/20)

Answer

Scale factor is 0.72 (using 18/25 or 24/33)

Answer

Scale factor is 2.5 (using 35/14 or 50/20)

Question 20

Find the scale factor of Figure B to Figure A.

Accepted Answer

The scale factor of Figure B to Figure A is 3/8.

Answer

The scale factor of Figure B to Figure A is 8/3.

Answer

The scale factor of Figure B to Figure A is 2/5.

Answer

The scale factor of Figure B to Figure A is 5/2.

Question 21

Solve for x using Pythagorean Theorem. Round to the nearest tenth. (Refer to the right triangle with legs 27 and 22, and hypotenuse x)

Accepted Answer

x = 34.8

Answer

x = 30.1

Answer

x = 28.5

Answer

x = 25.0

Question 22

Solve for x using Pythagorean Theorem. Round to the nearest tenth. (Refer to the right triangle with legs 19.1 and x, and hypotenuse 30.5)

Accepted Answer

x = 23.8

Answer

x = 18.2

Answer

x = 27.5

Answer

x = 12.6

Question 23

Find the value of each variable.

Accepted Answer

x = 16 , y = 16 $$\sqrt[]{3}$$

Answer

x = 64 , y = 16

Answer

x = 64 , y = 64 $$\sqrt[]{3}$$

Answer

x = 6 , y = 7

Question 24

Determine whether the triangle with the given side lengths is acute, right, obtuse, or not a triangle.

3,15,18

Accepted Answer

Not a triangle

Answer

Acute

Answer

Right

Answer

Obtuse

Question 25

Find the indicated trigonometric ratios as a fraction in simplest form.

Accepted Answer

sin A = 5/13, tan C = 12/5, cos A = 12/13

Answer

sin A = 12/13, tan C = 5/12, cos A = 5/13

Answer

sin A = 5/12, tan C = 13/5, cos A = 12/13

Answer

sin A = 12/13, tan C = 13/12, cos A = 5/13

Question 26

If LMNP is a parallelogram, find x. (Parallelogram with sides LM = 9x - 25 and PN = 5x + 7)

Accepted Answer

x = 8

Answer

x = 5

Answer

x = 12

Answer

x = 3

Question 27

If ABCD is a square with AD = 11, find BC

Accepted Answer

11

Answer

9

Answer

13

Answer

15

Question 28

If ABCD is a square with AD = 11, find AC

Accepted Answer

15.6

Answer

11

Answer

22

Answer

5.5

Question 29

If ABCD is a square with AD = 11, find BD

Accepted Answer

15.6

Answer

13

Answer

11

Answer

5.5

Question 30

If ABCD is a square with AD = 11, find EC

Accepted Answer

7.8

Answer

15.6

Answer

11/2

Answer

11

Question 31

C '(-2, -5) is the image of C after a reflection in the line y = x. What are the coordinates of C?

Accepted Answer

(-5, -2)

Answer

(-2, 5)

Answer

(2, -5)

Answer

(5, -2)

Geometry Final Study Guide

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