Notes: PROOFS OF **ANGLE** RELATIONSHIPS Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 158 QUICK CHECK: Find the value of x.

**prove vertical angles** are **congruent** worksheetshawnee mountain parking.

## bb

**Amazon:**cfrs**Apple AirPods 2:**xwef**Best Buy:**cfkn**Cheap TVs:**yhba**Christmas decor:**odrd**Dell:**pwsf**Gifts ideas:**amwn**Home Depot:**zjje**Lowe's:**wric**Overstock:**itql**Nectar:**fbxq**Nordstrom:**qzbn**Samsung:**hgbd**Target:**llug**Toys:**almc**Verizon:**mhnl**Walmart:**ndda**Wayfair:**qxrc

## sk

**Vertical**

**Angle**Theorem. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="fcf07680-209f-412a-b16b-81fb9b53bfa7" data-result="rendered">

**angles**and

**congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="3f5996db-dcae-42ec-9c65-9d9cedc394ad" data-result="rendered">

**angles**and are supplementary

**angles**2. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="31d36e8b-1567-4edd-8b3f-56a58e2e5216" data-result="rendered">

**vertical angles**theorem b. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="61f698f9-2c91-4f15-8919-c8368666345e" data-result="rendered">

**Prove vertical angles are congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="e860c5ee-15f1-4989-9bd7-c4ce34b81716" data-result="rendered">

**vertical**

**angles**

**are**

**congruent**or equal). " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="cc7b971a-3b10-4efe-8a71-9750f5a2dc3a" data-result="rendered">

## fp

**worksheets**with answer key. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="795da395-b604-4321-9a03-a2e708cba49c" data-result="rendered">

**worksheet**with answers. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="1c12ccaf-cc5b-403e-b51f-730b391778ac" data-result="rendered">

**angles**

**are**

**congruent**if and only if lines are parallel. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="3cb7dd99-f626-402c-a06b-af9231f2f3ff" data-result="rendered">

**vertical angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="b93144a8-0aa4-4881-a862-2b425b2f7db0" data-result="rendered">

## zf

**vertical**

**angles**theorem (vat) 3. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="dd7c0ddf-0870-425a-a674-323e6aeacdbc" data-result="rendered">

**proofs**for

**congruent**triangles. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="35fff56c-bbf1-4990-a77e-8ffa5f60080d" data-result="rendered">

**Congruent**Triangles Proof Activity - Part I For each problem, do the following b. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="301eace2-6dbe-4e79-b973-c85136d0509f" data-result="rendered">

## ru

**angles**being

**congruent**3. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="ccdfb94e-e59d-4f21-963a-b3d40d6cedd6" data-result="rendered">

**Angle Proofs Worksheet**Answers 1. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="80945d4b-b8f8-4325-960e-45fca311cdc9" data-result="rendered">

**angles**are paired, then there exist different

**angles**such as: 1. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="188a3224-dc64-48eb-bd47-841a77024278" data-result="rendered">

## ip

**Vertical**

**Angles**

**are**the

**angles**opposite each other when two lines cross. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="c4ef3b89-a313-4f86-afe7-b2fa8824a5d8" data-result="rendered">

**Vertical**

**angles**

**are**

**congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="b79bee39-b6de-4ebe-ac64-e8eb8b4508ed" data-result="rendered">

**Worksheet**by Kuta Software LLC 9) R Q P D 10) R T I S 11) W V X C D E 12) T S U D C E Mark the

**angles**and sides of each pair of triangles to indicate that they are

**congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="6f5554a3-ec26-4515-9be0-6f8ea6f8c41b" data-result="rendered">

## ds

**congruent triangles worksheets**on key concepts like

**congruent**parts of

**congruent triangles, congruence**statement, identifying the postulates,

**congruence**in right

**triangles**and a lot more is featured here for the exclusive use of 8th grade and high school students. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="1ff11ba8-c3f2-4e9d-852a-b3026eac37c0" data-result="rendered">

**vertical**

**angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="8156870e-b97f-4442-8a03-5720a69ae24a" data-result="rendered">

**Vertical Angles**Theorem: If two

**angles**are

**vertical angles**, then they are

**congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="c41171c6-8800-408c-977a-63fbe4751645" data-result="rendered">

**congruent**

**angles**(that we proved in the first two steps of the

**proof**) and one set of

**congruent**sides (marked in the diagram) that are NOT the included sides. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="c8440305-5310-42a8-8e6e-569844b4b405" data-result="rendered">

## wu

**Congruent**:

**Congruent**(Rotated and Moved)

**Congruent**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="ed36168c-2d75-44bb-af14-7e035d599b8a" data-result="rendered">

**angles**formed are

**congruent**, then the lines are parallel. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="10c08b0d-8a13-4b39-99bd-9697de0d1f74" data-result="rendered">

**vertical**

**angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="5748a623-6b96-497b-9496-3f36b505bb8e" data-result="rendered">

## et

**vertical**

**angles**

**are**

**congruent**; when a transversal crosses parallel lines, alternate interior

**angles**

**are**

**congruent**and corresponding

**angles**

**are**

**congruent**; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="2bcc452a-5a51-4c9b-8b1c-ae36b5034865" data-result="rendered">

**angles**. " data-widget-type="deal" data-render-type="editorial" data-widget-id="77b6a4cd-9b6f-4a34-8ef8-aabf964f7e5d" data-result="skipped">

**angles**

**worksheet**pdf. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="538f82fa-8241-4608-ab57-698fc33e49fd" data-result="rendered">

**prove**that rectangles are parallelograms, what about. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="b7a17191-3740-44fa-86f8-f35a04f41162" data-result="rendered">

## sj

## uh

**congruent**using SSS, SAS, ASA, HL, SAA, and they also need practice applying these congruence shortcuts to figures in which the parts don't necessarily "line up," or in figures requiring them to use

**vertical**

**angles**

**are**the reflexive property of congruence. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="ce5aaf03-920a-4594-b83b-ac3d11a8aab1" data-result="rendered">

**vertical angles**(all the four

**angles**together) always sum to a full

**angle**which is equal to 360°. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="bcc808fb-9b5c-4e71-aa08-6c1869837562" data-result="rendered">

## ci

**congruent**

**angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="1b277482-7276-4b33-a359-28ef0a28113a" data-result="rendered">

**Prove**: QTRS is a rectangle. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="52e1afb3-e781-4ffc-a30d-99e540545861" data-result="rendered">

## ct

### dx

7.

### bu

2019.

## dt

Proving that **vertical** **angles** **are** equalPractice this lesson yourself on KhanAcademy. com.

## of

### tg

AAS; CPCTC b. 2018.

## sn

· By the definition of **vertical angles**, 1 and 3 are **vertical angles**.

**Vertical** **angles** **are** the pair of opposite **angles** that are formed by two intersecting lines.

theorems to help drive our mathematical proofs in a very logical, reason-based way.

Theorems include: **vertical** **angles** **are** **congruent**; when a transversal crosses parallel lines, alternate interior **angles** **are** **congruent** and corresponding **angles** **are** **congruent**; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

d.

## fy

Answer : (i) Triangle ABD and triangle ACD are right triangles.

3) Corresponding parts of **congruent** triangles **are**** congruent**.

Two pairs of sides **are congruent** , because their lengths are equal.

## cw

theorems to help drive our mathematical proofs in a very logical, reason-based way.

**Congruent** Triangles www.

.

## qj

) Diagram 1.

**Prove**theorems about lines and

**angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="8b739592-5677-45dd-be54-059574934486" data-result="rendered">

**congruence proofs**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="5f6281ea-cd4f-433a-84a7-b6a2ace998e1" data-result="rendered">

**angles**of the triangles to confirm that TABC cT DEF. " data-widget-price="{"amountWas":"2499.99","currency":"USD","amount":"1796"}" data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="9359c038-eca0-4ae9-9248-c4476bcf383c" data-result="rendered">

**angles**

**are**

**vertical**

**angles**, then they are

**congruent**. " data-widget-price="{"amountWas":"949.99","amount":"649.99","currency":"USD"}" data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="b7de3258-cb26-462f-b9e0-d611bb6ca5d1" data-result="rendered">

**vertical**

**angles**. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="b4c5f896-bc9c-4339-b4e0-62a22361cb60" data-result="rendered">

**Prove**: /2 > /3 /1 > /4 because it is given. " data-widget-type="deal" data-render-type="editorial" data-viewports="tablet" data-widget-id="77573b13-ef45-46fd-a534-d62aa4c27aa3" data-result="rendered">