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HomeworkMrs. Rivas
. Complete each congruence statement
1.
3.
5.
7.
2.
4.
6.
8.
Lesson 4-1
โ ๐ฎ ๐บ๐จ
โ ๐ป ๐น๐ฌ
โ๐ป๐จ๐บ ๐ป๐บ
โ ๐จ๐ป๐บ โ ๐จ
HomeworkMrs. Rivas
Lesson 4-1
State whether the figures are congruent. Justify your answers.
9.
Yes; corresponding sides and corresponding angles are โ .
HomeworkMrs. Rivas
Lesson 4-1
State whether the figures are congruent. Justify your answers.
10.
No; the only corresponding part that is โ is
HomeworkMrs. Rivas
Lesson 4-1
State whether the figures are congruent. Justify your answers.
11.
Yes; corresponding sides and corresponding angles are โ .
HomeworkMrs. Rivas
Lesson 4-1
State whether the figures are congruent. Justify your answers.
12.
Yes; corresponding sides and corresponding angles are โ .
HomeworkMrs. Rivas
Lessons 4-2 and 4-3
Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need.13.
โ ๐ป โ โ ๐บ๐ป๐ โ ๐บ๐พโ ๐ โ โ ๐พ
๐จ๐บ๐จ
HomeworkMrs. Rivas
Lessons 4-2 and 4-3
Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need.14..
๐ฌ๐จโ ๐ท๐ณ๐จ๐ณโ ๐ณ๐จ
โ ๐ฌ๐จ๐ณโ โ ๐ท๐ณ๐จ
๐บ๐จ๐บ
HomeworkMrs. Rivas
Lessons 4-2 and 4-3
Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need.15.
๐ต๐๐๐๐๐๐๐๐๐
HomeworkMrs. Rivas
Lessons 4-2 and 4-3
Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need.16.
๐ช๐ต โ ๐จ๐ถ๐ต๐จโ ๐ถ๐ช๐จ๐ช โ ๐ช๐จ
๐บ๐บ๐บ
HomeworkMrs. Rivas
17. Given:, bisects .
Prove:
Lessons 4-2 and 4-3
bisects means that
Given
SSS
Reflective property of โ
Reflective property of โ
Def. of .โ
by SAS.
HomeworkMrs. Rivas
18. Given: , , ,
Prove:
P is the midpoint of .
Lessons 4-2 and 4-3
It is given that and .
By the Addition. Post., .
Since is the midpoint of , .
It is given that , so by SAS.
HomeworkMrs. Rivas
Lesson 4-4
21. Given:
Prove:
, so .
by the Reflexive Prop. of .
Since , by SAS,
Then by CPCTC.
HomeworkMrs. Rivas
Lesson 4-4
22. Given: Prove:
Reflexive Prop. of .
by CPCTC
Sinceand
by AAS
HomeworkMrs. Rivas
Lesson 4-4
23. Given: ,
is the midpoint of
Prove:
,Given
Reflexive Property
AAS
CPCTC
is the midpoint
Reflexive Property
SSS
CPCTC
HomeworkMrs. Rivas
Lesson 4-4
24. Given: ,
Prove:
, Supplement of angles are .
Vertical โฆ are .
Given
ASA
CPCTC
HomeworkMrs. Rivas
Lesson 4-5
Find the value of each variable25.
๐๐ ๐๐
๐๐๐ ๐+๐๐=๐๐
๐ ๐=๐๐๐=๐๐
HomeworkMrs. Rivas
Lesson 4-5
Find the value of each variable26.
๐๐๐๐+๐๐+๐=๐๐๐๐๐๐+๐=๐๐๐
๐=๐๐
HomeworkMrs. Rivas
Lesson 4-5
Find the value of each variable27.
๐+๐๐๐=๐๐๐๐=๐๐
๐=๐๐
base angles are congruent ๐น๐๐๐๐๐๐๐๐๐๐๐๐+๐=๐๐๐๐๐+๐=๐๐๐๐=๐๐
HomeworkMrs. Rivas
Lesson 4-5
28. Given:
Prove: is isosceles.
Given
Isosceles โ Theorem
โ Supplement Theorem
Given
ASA
CPCTC
and is isosceles by Isosceles โ Theorem
HomeworkMrs. Rivas
Lesson 4-5
29. Given:
Prove: is isosceles
and Given
Vertical are .โฆ โ SAS
CPCTC
Isosceles โ Theorem
Add. Prop. of โ
so by the Add. Post. and substitution.
by the Conv. of the Isosceles โ Theorem.
is isosceles by Definition of Isosceles โ.
HomeworkMrs. Rivas
Lessons 4-6 and 4-7
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.30.
โ ๐จ๐น๐ถ โ โ ๐น๐จ๐ญ ;๐ฏ๐ณ
HomeworkMrs. Rivas
Lessons 4-6 and 4-7
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.31.
โ ๐น๐ธ๐ดโ โ๐ธ๐น๐บ ;๐บ๐บ๐บ
HomeworkMrs. Rivas
Lessons 4-6 and 4-7
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.32.
โ ๐จ๐ถ๐ต โ โ๐ด๐ถ๐ท ;๐จ๐จ๐บ
HomeworkMrs. Rivas
Lessons 4-6 and 4-7
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.33.
โ๐ฎ๐น๐ป โ โ๐ฎ๐บ๐ถ ;๐จ๐บ๐จ
HomeworkMrs. Rivas
Lessons 4-6 and 4-7
34. Given: M is the midpoint of ,
Prove:
Given
by the Conv. of the Isosceles โ Theorem.
by the Def. of Midpoint
means thatis a right angle and is a right โ.
means thatis a right and โฆจ is a right โ .
by HL.
HomeworkMrs. Rivas
35. The longest leg of ,, measures centimeters. measures centimeters. You measure two of the legs of and find that and . Can you conclude that two triangles to be congruent by the HL Theorem? Explain why or why not.
No; you only know that two sides (SS) are congruent, and you donโt know that there are right angles.
