Download Chapter 4 Review PowerPoint

Sandra Mendoza
and
Marco Zavaleta
8th period

Our section was about the
vocabulary that we have learned
from the section. We had to fill in
the blanks in the sentence that
described the words.

You should remember
what the words mean and the
way they are used in proofs
to be the reason for a
statement.
1.
2.
3.
4.
5.
6.
7.
8.
H
G
D
J
A
C
B
F
By: Elizabeth & Steven
Triangles
can be identified by their angles, obtuse
or right. Also by their sides as scalene, isosceles, or
equilateral.
Acute
triangle= less then 90 degrees
obtuse triangle= more then 90 degrees
right triangle= is 90 degrees
scalene triangle= all different sides
isosceles triangle=two same sides
equilateral triangle= all same sides
1.
obtuse, isosceles triangle
2. Right angle, right triangle
3. equiangular, equilateral triangle
4-2
Made by :
Cruz Gonzalez
Lesly Hernandez
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
The sum of measures of the angles of a triangle
is 180.
The measure of an exterior angle is equal to the
sum of the measures of the two re mote interior
angles.
Angle sum theorem – the sum of the measures of
the angles of a triangle is 180
All 3 angles from a triangle when added up are
equal to 180
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
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12. 85
13. 25
14. 95
4-3
By: Natalie
Martinez
Mildred Zamora
Edgar Peralta



Triangles that are the same size and shape are
congruent triangles.
Each triangle has three angles and three sides.
If all six of the corresponding parts of two
triangles are congruent, then the triangles are
congruent.
•
•
•
If ABC is congruent to EFG, the vertices of
the two triangles correspond in the same order
as the letters naming the triangles
This correspondence of vertices can be used to
name the corresponding congruent sides and
angles of the two triangles
The corresponding sides and angles can be
determined from any congruence statement by
following the order of the letters.
15.) EFG  DCB-  E   D,  F   C,
 G   B, EF  DC, FG  CB, EG  DB
16.) LCD  GCF- L  G, C  C, D  F,
LC  GC, CD  CF, LD  GF
17.) NCK  KER- N  K, C  E , K  R,
NC  KE, CK  ER, NK  KR
Angela, Jessica, Javier

This sections explains how you can determine
whether two triangles are congruent.



To determine if two triangles are congruent
you need to use the distance formula.
Each point of a triangle must be known.
Determine if the corresponding side of one
triangle is congruent to the corresponding side
of another triangle.

Determine whether MNP is congruent to
QRS. M(0,3) N(-4,3) P(-4,6) Q(5,6) R(2,6) S(2,2)
N
R
M
P
Q
S

Use the distance formula to identify if the
corresponding sides are congruent.
REMEMBER: Take the square root of
your final answer!!!!
MN= (3-7) ² + (2-4) ² QR= (-2-(-4) ) ² + (3-7) ²
-4²+ 2² = 20
2²+ 4² = 20
NP= (7-6) ² + (4-6) ²
RS= (-4(-6) ) ² + (7-6) ²
1²+2²= 5
2²+1²= 5
MP= (3-6) ² + (2-6) ²
QS= (2-(-6) ) ² + (3 – 6) ²
-3²+ 4²= 25
4²+3²=25
All corresponding sides are congruent, SSS, triangle
MNP is congruent to triangle QRS.
Statements
Reasons
1. ∆DGC is
congruent to ∆DGE
1. Given
2. ∆GCF is
congruent to ∆GEF
2. Given
Section 4-6
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

Properties of isosceles triangles
Two sides of a triangle are congruent if and
only if the angles opposite those sides are
congruent
A triangle is equilateral if and only if it is
equiangular
22) Measure of angle PUQ = 32
23) Measure of angle R = 40
24) Measure of angle R = 30
25) Measure of angle P =80