Isosceles Triangle (Theorem) 6. The median to the base of an isosceles triangle is theperpendicular bisector of the base.RESTATEMENTGiven: Isosceles triangle ABC withAC BC and median CDProve: CD is the perpendicularbisector of AB.AD PuoorStatementReasuns1. AC BCMedian CD of AABC1.2. Dis the midpoint ofAB.2.3. Definition of midpoint4.3.4. ZA ZB6. ACAD ACBD6. ZCDA s 2CDB7, 2CDA andZCDBform a linear pair.5.7.8. Linear Pair Postulate9. Theorem 6110. Definition of perpen-dieular segments8.9.10. CD is perpendicularto AB.11.అ11.

Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

6. The median to the base of an isosceles triangle is the perpendicular bisector of the base. RESTATEMENT Given: Isosceles triangle ABC with AC BC and median CD Prove: CD is the perpendicular bisector of AB. B D

6. The median to the base of an isosceles triangle is the perpendicular bisector of the base. RESTATEMENT Given: Isosceles triangle ABC with AC BC and median CD Prove: CD is the perpendicular bisector of AB. B D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: The value of sec0 from the following figure is 40 41 41 9. 40 (a) (b). 6. (c) 40 (d) 41

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: 30-60-90 Isosceles Right Triangle 1-2- V3 45-45-90 1-1- /2 60° 45° V2 2 1 1 30° 45° V3 1

Q: On the basis of appearance, what type of angle is shown? (a) (b)

Q: Mutiply (cos theta - sin theta ) 2

A: We have to multiply the expression: cosθ-sinθ2 So multiplying by the process of a2=a×a,…

Q: 6) 23 ft 104° 24 ft B.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Finding arc length

Q: COMPLEX NUMBERS arctan(3-3i) = ?

Q: Find the length of side x in simplest radical form with a rational denominator. 60 X 30 2 Answer:…

Q: How to do cosine and sibe rule the easy way

A: Answer is mentioned below

Q: 20- -10-

Q: Which theorems do Kepler's Triangle relate each other with? Euler's Number Euclidian Geometry Golden…

A: Kepler's Triangle: A Kepler triangle is a right triangle formed by three squares with areas in…

Q: 1. ESSENTIAL QUESTION How are similarity in right triangles and the Pythagorean Theorem related?

A: Write the relation between similarity in right triangles and the Pythagorean theorem.

Q: Law of Tangents For any triangle, derive the Law of Tangents: tan a - b a + b tan (A + B) [Hint: Use…

Q: Given an isossceles triangle ABC <A = 55 <B = 70 Find <C.

A: To find Third side angle in an isossceles triangle ABC

Q: Value of sin(1°)

A: Find the value of sin1°.

Q: B. AB is a tangent. 120° 60° A - y=_

Q: Special Right Triangle 45-45-90 pdf

A: See the attachment

Q: 6+7x9 The centers of two circles of radii 10 cm and 5 cm are 13 cm apart. Find the length of a…

A: 12cm Explanation:

Q: What is the angle between the diagonal of a cube and one of its edges? • Hint Angle = radians (Give…

A: The objective is to find the angle between the diagonal of a cube and one of its edges of the given…

Q: What is another name for two-point perspective? angular perspective parallel perspective two-view…

A: To find another name for two point perspective

Q: Match the trigonometric side ratios with each particular type of special right triangle. 45-45-90 […

A: To find side ratio

Q: In triangle ABC, a = 1, b = 4 and c = 30°. Find the length of side c.

A: in a triangle using cosine law c2=a2+b2-2abcosC

Q: A 25 24 7 Find cos(a) in the triangle.

Question

Isosceles Triangle (Theorem)

6. The median to the base of an isosceles triangle is the
perpendicular bisector of the base.
RESTATEMENT
Given: Isosceles triangle ABC with
AC BC and median CD
Prove: CD is the perpendicular
bisector of AB.
A
D

Puoor
Statement
Reasuns
1. AC BC
Median CD of AABC
1.
2. Dis the midpoint of
AB.
2.
3. Definition of midpoint
4.
3.
4. ZA ZB
6. ACAD ACBD
6. ZCDA s 2CDB
7, 2CDA andZCDB
form a linear pair.
5.
7.
8. Linear Pair Postulate
9. Theorem 61
10. Definition of perpen-
dieular segments
8.
9.
10. CD is perpendicular
to AB.
11.
అ
11.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

3815 - 1 - Page 2 11) An airplane climbs at an angle of 13° with the 7) ground. What is the distance it has traveled (to the nearest hundred feet) when it has attained an 24 37° altitude of 400 feet? A) 410 feet C) 1,700 feet D) 2,000 feet B) 1,800 feet 12) After takeoff, a plane flies in a straight line for a distance of 4,000 feet in order to gain an altitude of 1,200 feet. What is the angle which the rising plane ascends from the ground to the nearest degree? 15 A) 73° C) 23° 8) 20 B) 67° D) 17° C) 37° A) 41° B) 53° 13) A20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58° with the D) 49° ground. Find, to the nearest foot, the vertical distance from the top of the ladder to the ground. 9) 43 24 20 ft 58° 10) The straight string of a kite makes an angle of elevation from the ground of 60°. The length of the string is 400 feet. What is the best approximation of the height of the kite? C) 300 ft A) 350 ft B) 200 ft D) 250 ft
Please don't reject this. This is for my final exam. Please help me
how do i solve this question/what is answer? “The angle of depression formed from the top of the cliff and the line of sight from the boat is 37 degrees if the height of the cliff is 36 ft, determine the length of the base of the cliff to the boat to the nearest TENTH of a foot”
sin (a +B) + sin (a-B) +ß) sin (a +B) sin (a-B)
Tan-chord theorem
question b please
Provide a proof for the following situation. Given: . ● C is the intersection point of AD and EB. AC EC and ZA = ZE Prove: ABED D Statement Cis the intersection point of AD and EB. AC EC and ZA = ZE ZACBZECD AABC = AEDC AB ED Reason 1. 2. 3. 4. 5.
Complex variable
sinA (1+cosA) prove that -2cosecA (1+cosA) sin A