First, we started off with a warm up on Triangle Measurements (adding to 180°) and went over HW #32.
Then notes. We looked at congruency and corresponding parts. There were two assignments: #33 page 206 #10-28 (even), 42-56 (even) from the textbook and #34 Angles in a Triangle WS (link).
I also returned the Chapter 3 Test. The score is out of 100. We didn’t have time to check it, so here are my solutions. Check your test to make sure you got your deserved points.
Coming up:
- Benchmark Retakes for 14-17 on Monday/Tuesday block
- Benchmarks 18, 21, 22, 24 on Wednesday (11/22)
Posting for Points Question: What is a “congruency statement? Give an example. Why is the order of a congruency statement so important?
November 16, 2006 at 5:33 pm
A Congruency statement is when two figures are congruent, there is a Correspondence between their angles and sides such that Corresponding angles are congruent and Corresponding sides are congruent.
Ex: Write a Congruence statement:
Triangle EFG is congruent to HIJ
The order for the Congruency statement is so important because the ordered pairs could not match up with the given triangle making them incorrect.
November 16, 2006 at 8:27 pm
A congruency statement is when figures are congruent, there is a correpondence between their sides and angles. So that corresponding angles are congruent. Corresponding sides are congruent. An example of a congruency statement is triangle QRS is congruent to triangle TUV. The order is important because the pairs would not match up with the triangle.
November 16, 2006 at 9:38 pm
The Congruence Statement states that two shapes are congruent if they have exactly the same size and shape. When two figures are congruent, there is a correspondence between thier angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
For example, Triangle ABC is equal or congruent to Triangle PQR
Angle A is equal or congruent to Angle P
Angle B is equal or congruent to Angle Q
Angle C is equal or congruent to Angle R
AB is equal or congruent to PQ
BC is equal or congruent to QR
AC is equal or congruent to PR
ORDER IS IMPORTANT!!
November 17, 2006 at 12:54 pm
A congreuence statement is whe two figures are conguent.
November 17, 2006 at 1:58 pm
a Congruency statement is when two figures are congruent, that have a corresponding between their angles and sides, corresponding angles are congruent and corresponding sides are congruent.
ex. angle abc are congruent to angle fed
angle a is egual to or congruent to angle f
angle b is congruent to angle e
angle c is congruent to angle d
order is important!!
November 17, 2006 at 2:17 pm
congruence satisfy a number of important properties, and are extremely useful in many areas of number theory. Using congruences,a given number is divisible by another number can sometimes be derived. For example, if the sum of a number’s digits is divisible by 3 (9), then the original number is divisible by 3 (9).
November 17, 2006 at 3:01 pm
One most important we have to remember is the sum of ALL triangle angles are equal to 180 degrees.
I hope this helps
November 17, 2006 at 7:23 pm
A Congruency Statement involves having two shapes that are congruent if they have the same size and shape. When the two figures are congruent, thre is a correspondance between their angles and sides. Meaning that the corresponding angles are congruent and the corresponding sides are also congruent.
Ex. The Congruence Statement:
Angle ABC is congruent to Angle DEF.
Angle A is congruent to Angle D.
Angle B is congruent to Angle E.
Angle C is congruent to Angle F.
AND:
Line AB is congruent to Line DE.
Line BC is congruent to Line EF
Line AC is congruent to Line DF.
*The order of a Congruency Statement is important because if the letters, such as DEF, are not in order like the letters ABC are, then the triangle is not congruent. Which makes the satatement false.
November 17, 2006 at 7:27 pm
There were plenty of notes taken in class today. Even if Mr. Fjelstrom wasn’t present in class today, I was still able to understand most of the notes given by the sub.
November 17, 2006 at 8:17 pm
a congruency statement is a statement that tells if any sides,angles or objects are congruent.
a congruency statement could be:
AEF is congruent to BCR
the order is important because you don’t want to get the congruent sides or angles mixed up and end up getting the wrong answer.
November 18, 2006 at 9:51 am
A congruency statement is when figures are congruent, there is a correpondence between their sides and angles. So that corresponding angles are congruent. Corresponding sides are congruent. Ex: Write a Congruence statement:
Triangle EFG is congruent to HIJ
November 18, 2006 at 9:55 am
A congruency statement is when figures are congruent, there is a correpondence between their sides and angles. So that corresponding angles are congruent. Corresponding sides are congruent.the order is important because you don’t want to get the congruent sides or angles mixed up and end up getting the wrong answer.
November 18, 2006 at 8:31 pm
A congruency statement is when two figures are congruent, there is a correspondence between their angles and sides so that corresponding angles are congruent and corresponding sides are congruent.
Ex.ABC is congruent to PQR
Order is important because if you mix up the answers they will be wrong.
November 18, 2006 at 10:16 pm
A congruency statement is when figures are congruent, there is a correpondence between their angles. So that corresponding angles are congruent and Corresponding sides are congruent.
Ex) triangle QRS is congruent to triangle TUV. Order is important because the pairs would not match up with the triangle.
November 18, 2006 at 11:59 pm
The Congruence Statement states that two shapes are congruent if they have exactly the same size and shape. When two figures are congruent, there is a correspondence between thier angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
For example, Triangle ABC is equal or congruent to Triangle DEF
Example:
Angle A is congruent to Angle D
Angle B is congruent to Angle E
Angle C is congruent to Angle F
AB congruent to DE
BC congruent to EF
DF congruent to DF
November 19, 2006 at 8:17 pm
A congruence statement is when two figures are congruent, there is a correspondence between thir angles and sides. So corresponding angles are congruent and corresponding sides are congruent.
Ex: Triangle ABC is congruent to triagle DEF
Order is important because you dont want to get the angles or sides mixed up.
November 21, 2006 at 2:22 pm
A congruency statement is when figures are congruent, there is a correpondence between their sides and angles. So that corresponding angles are congruent. Corresponding sides are congruent. An example of an congruency statement is triangle FGH is congruent to the triangle ABC. You must remember the rule that the order is important because the pairs on the triangle would not match up with the triangle.
November 21, 2006 at 5:26 pm
A congruence statement is when figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
Example:
triangle ABC congruent to triangle PQR
angle A is congruent to angle P
angle B is congruent to angle Q
angle C is congruent to angle R
Also:
Segment AB is congruent to Segment PQ
Segment BC is congruent to Segment QR
Segment Ac is congruent to Segment PR
***Order is important because, if you didn put it in order, then the statement is not true. Also the two triangles woudln’t match up.
November 21, 2006 at 7:38 pm
A congruence statement is when two shapes are congruent, there is a correspondence between their angles and sides. So corresponding angles are congruent and corresponding sides are congruent.
Ex.Triangle def is congruent to triangle ghi
angle d is congruent to g
angle e is congruent to h
angle f is congruent to i
angle de is congruent to gh
angle ef is congruent to gh
Order is important because if you didnt put it in order they wouldnt be congruent and the statement would not be true
November 21, 2006 at 7:39 pm
I noticed i messed up on the last to
they are segments not angles
no need to submit this post
November 21, 2006 at 8:22 pm
A congruency statement is when you name a triangle congruent to another triangle according to their corresponding angles.
For example: There are two triangles. The first triangle has angles A, B, and C. The second triangle has angles D, E, and F.
Angle A is congruent to angle E.
Angle B is congruent to angle F.
Angle C is congruent to angle D.
TRIANGLE ABC IS CONGRUENT TO TRIANGLE EFD!
The order of a congruency statement is very important. It is because each angle has to be in the same order as it’s corresponding angle.
For Example: (Using the example from above.)
Since Angle A is congruent to Angle E, both angles have to be in front. Since angle B is congruent to Angle F, both angles have to be in the middle. Since Angle C is congruent to Angle D, both angles have to be last.
This congruency statement can be flipped around but the corresponding angles have to be in the same order.
Ex1) ABC is congruent to EFD
Ex2) BCA is congruent to FDE
Ex3) CAB is congruent to DEF
Ex4) ACB is congruent to EDF
Ex5) BAC is congruent to FED
Ex6) CBA is congruent to DFE
*Notice how even though its flipped, the angle in one triangle is in the same place of it’s corresponding angle in the other triangle.
November 26, 2006 at 3:37 pm
The Congruence Statement states that “two shapes are congruent if they have exactly the same size and shape.” When two figures are congruent, there is a correspondence between thier angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
For example, Triangle ABC is equal or congruent to Triangle PQR
Angle A is equal or congruent to Angle P
Angle B is equal or congruent to Angle Q
Angle C is equal or congruent to Angle R
AB is equal or congruent to PQ
BC is equal or congruent to QR
AC is equal or congruent to PR