page 43 statements reasons 1. given 2. corresponding parts of congruent figures are congruent 3....
TRANSCRIPT
Page 43
Statements
Reasons
๐๐๐ข๐๐๐ ๐ด๐ต๐ถ๐โ ๐๐๐ข๐๐๐๐ธ๐น๐บ๐1. Given2. 2. Corresponding parts of congruent figures are congruent
9. ESR 9.
3. 3. Reflexive
7. 4 7. All right angles are congruent
31 24
5. are supplements are supplements 5. Angles on a line 4. 2 are right angles 4. Squares contain right four right angles 6. 4 are right angles 6. Supplements of right angles are right angles 8. ESR are right triangles 8. A triangle that contains a right angle is a right triangle
I I
X
UNIT 3Lesson 10 โ Mid-segment of a
Triangle
Page 43
Statements
Reasons
1. 1. Given2. 2. Opposite sides of a rectangle are congruent
6. 6. 7. CPCTC7.
3. and are right angles 3. A rectangle contains four right angles 4. 4. All right angles are congruent5. 5. A midpoint divides a segment into two congruent segments 8. 8. An isosceles triangle has two congruent sides
I I
II II
III III
Page 44
๐+4=15โ4โ4๐=11
๐ถ๐ท=15๐ด๐ท=3 (11)+2=35๐ถ๐ต=35
๐๐๐๐๐๐๐ก๐๐=15+15+35+35๐๐๐๐๐๐๐ก๐๐=100
Opposite sides of a parallelogram are congruent
Opposite sides of a parallelogram are congruent
Substitution postulate
Substraction postulate
Opposite sides of a parallelogram are congruent
P = sum of sides
Substitution postulate
Page 44
26
๐ถ๐ท=26 Opposite sides of a parallelogram are congruent
๐ธ๐ถ=12๐ด๐ถ Diagonals of a parallelogram bisect each
other
26
7Substitution Postulate
๐ท๐ธ=12๐ต๐ท Diagonals of a parallelogram bisect each
other
๐ท๐ธ=12
(28 )=14 Substitution Postulate
17
17 14
14
๐๐๐๐๐๐๐ก๐๐ ๐๐ โ๐ถ๐ธ๐ท=17+14+26๐๐๐๐๐๐๐ก๐๐ ๐๐ โ๐ถ๐ธ๐ท=57
P = sum of sides
Page 45
is the segment created by joining the midpoints of any two sides of a triangle
Page 45Mid-segment consruction
and
๐๐ โฅ๐ต๐ถ
VV
Page 46
๐ฅ=12
(30 )
๐ฅ=159
10
15
๐โ ๐ด๐ต๐ถ=++ยฟ
๐โ ๐ด๐ต๐ถ=68
18
20
30
Page 46
๐=๐๐ (๐๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐๐๐)
๐+๐๐๐=๐๐๐โ๐๐๐โ๐๐๐
๐=๐๐
โก๐ฏ๐ฐ๐ฉ=๐๐ยฐโก๐ฎ๐ฐ๐ช=๐๐ยฐ
๐๐ยฐ๐๐ยฐ
๐+๐๐๐=๐๐๐โ๐๐๐โ๐๐๐
๐=๐๐
Homework โ Page 48
A midpoint divides a segment into two congruent parts
Page 47
II
II
II
GIII III
Vertical angles are congruent
๐๐ด๐ โ ๐๐ด๐
Page 47
Corresponding parts of congruent triangles are congruent
I
When two lines are cut by a transversal so alt. int are lines are parallel
Partition postulate
Substitution
Division postulate