ACTIVITY 2.GIVE ME REASONS THAT WE'RE CONGRUENT Direction: Prove the following by completing the two-column proof. 1. Given: O is the midpoint of AD and BC, AB DE Prove: AAOB ACOD Proof: Statements Reasons 1. 1. 2. 2. Definition of 3. 3. Definition of D. 4. Given 5. 5. Congruence 211 4.

ACTIVITY 2.GIVE ME REASONS THAT WE'RE CONGRUENT Direction: Prove the following by completing the two-column proof. 1. Given: O is the midpoint of AD and BC, AB DE Prove: AAOB ACOD Proof: Statements Reasons 1. 1. 2. 2. Definition of 3. 3. Definition of D. 4. Given 5. 5. Congruence 211 4.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

See similar textbooks

Related questions

Q: 3 Show that sin 0: 8. 1 cos (20) + %3D cos (40). 8 Which of the following four statements establishe...

Q: 2. Prove this using indirect proof in two-column form. Given: MP I NO Prove: ZNPM is not a straight ...

Q: 2. A cube of side length of 4 in is inscribed in a sphere as shown below. Find the surface area and ...

A: This question is based on mensuration.

Q: 3) Write an equation of a line in Standard Form, given a line parallel to y = -6x - 5 through the po...

Q: Find the side labeled x. (Round your answer to one decimal place.) x =

A: Given that:

Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 <e< 2n. (9v3, -9)

A: The objective is to convert the rectangular coordinate to polar coordinate .

Q: 60 3.

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = 2? 3...

Q: Solving Right Triangles Activity 3: Find parts of right triangle ABC in each of the following: В SUM...

A: Given that:

Q: メ lim メー9 ズs

Q: (x/2)

A: Please refer to the image below

Q: c: 12cm-> A. b:18cm a=10cm angle Find ar bup B.

Q: 9. Determine the distance between city hall and the library if city hall is 54 feet tall and the ang...

A: Given that: Height of city hall=45 ftAngle of depression=49°

Q: 8 sin(x) = x in Quadrant I 17

A: x =sin -1 (8/17) and convert degree to radian.

Q: 4 75° 5.

A: Given that:

Q: 3. Given 0 < 0 < 27, solve 2 tan 0 + sin 0 cos 0 = 0. 2 0, T

A: Given: 2tanθ+sinθcosθ=0 , 0≤ θ<2π

Q: 2. M. 3. %24

Q: Without using a calculator, find all the solutions of csc(t) - 2 where - T <t<T.

Q: Võ, -v2)

Q: 17.3 Find the Fourier transform of each function. In Answer: (a) each case, a is a positive real con...

Q: Find all solutions to the equation. sin 0 = 1 Write your answer in radians in terms of t, and use th...

Q: Establish the identity. cos (a-B) = cot B+ tan a cos a sin B cos (a-B) cos a cos B- sin a sin B cos ...

Q: 6. The angle of elevation of the top of a tower T from a point A on level ground is 80°. The height ...

A: Height of tower = 40m

Q: ÐM is an angle in a triangle with tan M = –7.12. Is ÐM acute or obtuse? Explain how you know.

A: Given:- tan M = -7.12 Objective:- we have to tell Angle M is acute or obtuse.

Q: Use the Law of Cosines to determine the indicated angle 0. (Assume a = 16, b = 12, and c = 24. Round...

Q: Determine if the statement sec z = 12 is possible for some real number z.

A: Given the query is to find the possibile value of z.

Q: Why do we use radian measure instead of degree measure for higher level math? Justify your response.

Q: Question 4 A Given a slope of -, find the perpendicular slope ? O A) 3/2 O B)-3/2 O C)-2/3 O D) 2/3

A: Given Slope = -23

Q: Sketch a graph of y = tan x, y = cot x, y = sec x and y = csc x from x = 0 to x = 2T1. Label the axe...

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

Q: 13 Give the six circular function of 4.

A: To find: The six circular function of 13π4 (θ=13π4)

Q: Proove that the following equalities are true using trigonometric identities. 1. sinθ = tan2θ (1 - t...

Q: 9. Find the 6 trigonometric functions of the angle in standard position with the point P=(4,-7) on t...

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. sin 0 = 0 numb...

Q: The figure below shows two right triangles drawn at 90° to each other. Redraw the figure below, labe...

A: I am attaching image so that you understand each and every step.

Q: The position of a weight on a spring is s(t) = -5 cos 4nt %3D inches after t seconds. Include units ...

Q: 72.4-foot rope from the top of a circus tent pole is anchored to the ground 43.4 feet from the botto...

A: Given query is to find the angle made by rope with the pole.

Q: Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If th...

Q: Use a graphing utility to graph the equation below. Then use the TRACE feature to trace along the li...

A: Given that: y=34x+3

Q: The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Red...

Q: Find the Laplace Transform of the following: 4) e3z-2bt (variables other than t are considered con...

Q: Compute sec() if sin(0) = 0.29 and 0 < 0 < 5 Give you answer accurate to 4 decimal places

A: Find your answer below

Q: boats leave the same port at the same time. One boat sails on a bearing of 125° while the other boat...

A: Given query is to find the distance between the boats after 2 hours.

Q: 0.8415) along the circumference of the unit circle, then find the six trigonometric functions of t. ...

A: We are asked to find the six trigonometry function.

Q: 5) A rocket is rising vertically at a rate of 5800 miles per hour. An observer on the ground is stan...

Q: Suppose ÐP is obtuse and sin P = 0.1392. Determine the measure of ÐP to the nearest degree.

A: Given ∠P is obtuse and sin P = 0.1392

Q: (a) How many degrees does the minute hand of a clock pass over in 10 minutes? (b) How many degrees d...

A: Note: According to our expert guidelines only first three subparts are to be answered, kindly repost...

Q: Find sin(2x), cos(2x), and tan(2x) from the given information.

Q: The area of the triangle below equals to 5 8

Q: Give two points that are equivalent (but not equal) to the polar point (25,150^o). Write the two poi...

A: Given the query is to find the polar coordinates equivalent to given coordinates.

Question

ACTIVITY 2.GIVE ME REASONS THAT WE'RE CONGRUENT
Direction: Prove the following by completing the two-column proof.
1. Given: O is the midpoint of AD and BC, AB DE
Prove: AAOB E ACOD
Proof: Statements
Reasons
1.
1.
A.
2.
2. Definition of
3.
3. Definition of
4.
4. Given
.
5.
Congruence
5.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then mBmC. b If AC=AB in ABC, then mB=mC. c If RSTV is not a square, then RSST. d An angle has exactly one bisector.
Suppose that the two angles are supplementary. Find expressions for the supplements, using the expressions provided in Exercise 28, parts a to c. For two complementary angles, find an expression for the measure of the second angle if the measure of first is: a x b (3x12) c (2x+5v)
a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle. Exercises 34. 35
For what values of c is c(1,2,3)=1?
In Exercises 25 and 26, give a paragraph form of proof. Provide drawings as needed. Given: Isosceles MNQ with QM=QN=s and MN=2a Prove: AMNQ=as2-a2 NOTE: sa.
In Exercises 55 and 56, P is a true statement, while Q and R are false statements. Classify each of the following statements as true or false. a PandQorR b PorQandR
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?