Polygons & Quadrilaterals. All sides and all angles congruent.
Section 4.1 Congruent Polygons
description
Transcript of Section 4.1 Congruent Polygons
![Page 1: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/1.jpg)
Section 4.1
Section 4.1Congruent Polygons
![Page 2: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/2.jpg)
Section 4.1
How do we know if two figures are congruent?1. All of the matching sides are the same2. All of the matching angles are the same
Basically, the shapes are identical to each other.
![Page 3: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/3.jpg)
Section 4.1
Naming two congruent shapes with a Congruence Statement.When stating that two shapes are congruent it is important that the letters of each shape are written in the same order.
Example:
Polygon ABCDE = Polygon __________XMLPQ
![Page 4: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/4.jpg)
Section 4.1
Find the matching parts between the shapesAB = _______
<D = _______
QP = _______
<M = _______
XM
<P
DE
<B
![Page 5: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/5.jpg)
Section 4.1
What we can determine from a congruence statement?Example:
Triangle ABC = Triangle HFGWhich Angles are congruent? Which Sides are congruent?
![Page 6: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/6.jpg)
Section 4.1
What we can determine from a congruence statement.Triangle GKD = Triangle LSP
Which angles are congruent?
Which sides are congruent?
![Page 7: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/7.jpg)
Section 4.1
Are the shapes below congruent?
Yes, all of the matching sides and all of the matching angles are congruent.
![Page 8: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/8.jpg)
Section 4.1
Are the shapes below congruent?
We can not determine if the shapes are congruent because we don’t have the necessary info about the sides and angles.
![Page 9: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/9.jpg)
Section 4.1
Write a congruence statement, if possible
![Page 10: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/10.jpg)
Section 4.1
Write a congruence statement, if possible.
![Page 11: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/11.jpg)
Section 4.1
Write a congruence statement, if possible
![Page 12: Section 4.1 Congruent Polygons](https://reader036.fdocuments.in/reader036/viewer/2022062301/568161bd550346895dd19ad6/html5/thumbnails/12.jpg)
Section 4.1
Homework
P 182 ( 3 – 35 odd)