1. Mrs. Rivas 𝑪𝑨 ≅ 𝑱𝑺 𝑨𝑻 ≅ 𝑺𝑫 𝑪𝑻 ≅ 𝑱𝑫 ∠𝑪≅∠𝑱 ∠𝑨≅∠𝑺 ∠𝑻≅∠𝑫
4-1 𝑪𝑨𝑻  𝑱𝑺𝑫. List each of the following.
1. three pairs of congruent sides
𝑪𝑨 ≅ 𝑱𝑺
𝑨𝑻 ≅ 𝑺𝑫
𝑪𝑻 ≅ 𝑱𝑫
2. three pairs of congruent angles
∠𝑪≅∠𝑱
∠𝑨≅∠𝑺
∠𝑻≅∠𝑫

2. Mrs. Rivas 𝟓𝒙+𝟕𝟒+𝟑𝒙+𝟐=𝟏𝟖𝟎 𝟖𝒙+𝟕𝟔=𝟏𝟖𝟎 𝟖𝒙=𝟏𝟎𝟒 𝒙=𝟏𝟑 𝟓𝒙 𝟕𝟒
Algebra Find the values of the variables. 3.
𝟓𝒙+𝟕𝟒+𝟑𝒙+𝟐=𝟏𝟖𝟎
𝟖𝒙+𝟕𝟔=𝟏𝟖𝟎
𝟖𝒙=𝟏𝟎𝟒 𝟓𝒙 𝟕𝟒
𝒙=𝟏𝟑

3. Mrs. Rivas
Algebra Find the values of the variables. 4.
𝟐𝒙=𝟏𝟎
𝒙=𝟓

4. Mrs. Rivas 𝒎𝑩 = 𝟑𝒚 𝟑𝒚=𝒚+𝟓𝟎 𝒎𝑩 =𝟑(𝟐𝟓) 𝟐𝒚=𝟓𝟎 𝒎𝑩 =𝟕𝟓 𝒚=𝟐𝟓 𝒎𝑮 = 𝒚+𝟓𝟎
Algebra ABCD  FGHJ. Find the measures of the given angles or lengths of the given sides.
5. 𝑚𝐵 = 3𝑦, 𝑚𝐺 = 𝑦 + 50 A B C D
𝒎𝑩 = 𝟑𝒚
𝟑𝒚=𝒚+𝟓𝟎
𝒎𝑩 =𝟑(𝟐𝟓)
𝟐𝒚=𝟓𝟎
𝒎𝑩 =𝟕𝟓
𝒚=𝟐𝟓 F G H J
𝒎𝑮 = 𝒚+𝟓𝟎
𝒎𝑮 =𝟐𝟓+𝟓𝟎
𝒎𝑮 =𝟕𝟓

5. Mrs. Rivas 𝑪𝑫 = 𝟐𝒙 + 𝟑 𝑪𝑫 = 𝟐(𝟏) + 𝟑 𝟐𝒙+𝟑=𝟑𝒙+𝟐 𝑪𝑫 =𝟓 𝟑=𝒙+𝟐 𝟏=𝒙
Algebra 𝑨𝑩𝑪𝑫  𝑭𝑮𝑯𝑱. Find the measures of the given angles or lengths of the given sides.
6. 𝐶𝐷 = 2𝑥 + 3; 𝐻𝐽 = 3𝑥 + 2
𝑪𝑫 = 𝟐𝒙 + 𝟑 A B C D
𝑪𝑫 = 𝟐(𝟏) + 𝟑
𝟐𝒙+𝟑=𝟑𝒙+𝟐
𝑪𝑫 =𝟓
𝟑=𝒙+𝟐
𝟏=𝒙
𝑯𝑱 = 𝟑𝒙 + 𝟐 F G H J
𝑯𝑱 = 𝟑(𝟏) + 𝟐
𝑯𝑱 =𝟓

6. Mrs. Rivas 𝒎𝑪 =𝟓𝒛+𝟐𝟎 𝟓𝒛+𝟐𝟎=𝟔𝒛+𝟏𝟎 𝒎𝑪 =𝟓 𝟏𝟎 +𝟐𝟎 𝟐𝟎=𝒛+𝟏𝟎 𝒎𝑪 =𝟕𝟎 𝟏𝟎=𝒛
Algebra 𝑨𝑩𝑪𝑫  𝑭𝑮𝑯𝑱. Find the measures of the given angles or lengths of the given sides.
7. 𝑚𝐶 = 5𝑧 + 20, 𝑚𝐻 = 6𝑧 + 10 A B C D
𝒎𝑪 =𝟓𝒛+𝟐𝟎
𝟓𝒛+𝟐𝟎=𝟔𝒛+𝟏𝟎
𝒎𝑪 =𝟓 𝟏𝟎 +𝟐𝟎
𝟐𝟎=𝒛+𝟏𝟎
𝒎𝑪 =𝟕𝟎
𝟏𝟎=𝒛 F G H J
𝒎𝑯 =𝟓𝒛+𝟐𝟎
𝒎𝑪 =𝟓 𝟏𝟎 +𝟐𝟎
𝒎𝑪 =𝟕𝟎

7. Mrs. Rivas 𝑨𝑫 =𝟓𝒃+𝟒 𝑨𝑫 =𝟓(𝟐) +𝟒 𝟓𝒃+𝟒=𝟑𝒃+𝟖 𝑨𝑫 =𝟏𝟒 𝟐𝒃+𝟒=𝟖 𝟐𝒃=𝟒
Algebra 𝑨𝑩𝑪𝑫  𝑭𝑮𝑯𝑱. Find the measures of the given angles or lengths of the given sides.
8. 𝐴𝐷 = 5𝑏 + 4; 𝐹𝐽 = 3𝑏 + 8
𝑨𝑫 =𝟓𝒃+𝟒 A B C D
𝑨𝑫 =𝟓(𝟐) +𝟒
𝟓𝒃+𝟒=𝟑𝒃+𝟖
𝑨𝑫 =𝟏𝟒
𝟐𝒃+𝟒=𝟖
𝟐𝒃=𝟒
𝑭𝑱 = 𝟑𝒃 +𝟖
𝒃=𝟐 F G H J
𝑭𝑱 = 𝟑(𝟐) +𝟖
𝑭𝑱 =𝟏𝟒

8. Mrs. Rivas
4-2 Draw 𝑴𝑮𝑻. Use the triangle to answer the questions below.
9. What angle is included between 𝐺𝑀 and 𝑀𝑇 ? M G T ∠𝑴

9. Mrs. Rivas
4-2 Draw 𝑴𝑮𝑻. Use the triangle to answer the questions below.
10. Which sides include ∠𝑇? M G T
𝑻𝑮 𝒂𝒏𝒅 𝑻𝑴

10. Mrs. Rivas
4-2 Draw 𝑴𝑮𝑻. Use the triangle to answer the questions below.
11. What angle is included between 𝐺𝑇 and 𝑀𝐺 ? M G T ∠𝑮

11. Mrs. Rivas Not enough information; SAS; two pairs of
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
13.
12.
Not enough information;
two pairs of corresponding
sides are congruent, but
the congruent angle is not
included.
SAS; two pairs of
corresponding sides and
their included angle are
congruent.

12. Mrs. Rivas SSS; three pairs of Not enough information;
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
15.
14.
SSS; three pairs of
corresponding sides
are congruent.
Not enough information;
two pairs of corresponding
sides are congruent, but
the congruent angle is not
the included angle.

13. Mrs. Rivas
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
16.
17.
SSS; three corresponding
sides are congruent
SAS; two pairs of corresponding sides and their included right angle are congruent.

14. Mrs. Rivas
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
18.
19.
Not enough information; one pair of corresponding sides and corresponding angles are congruent, but the other pair of corresponding sides that form the included angle must also be congruent.
SAS; two pairs of corresponding sides and their included vertical angles are congruent.

15. Mrs. Rivas
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
20.
SSS or SAS; three pairs of corresponding sides are congruent, or, two pairs of corresponding sides and their included vertical angles are
congruent.

16. Mrs. Rivas ∆𝑯𝑰𝑱≅∆𝑴𝑳𝑲 ∆𝑹𝑺𝑻≅∆𝑿𝒀𝒁
4-3 Name two triangles that are congruent by ASA.
∆𝑯𝑰𝑱≅∆𝑴𝑳𝑲
∆𝑹𝑺𝑻≅∆𝑿𝒀𝒁

17. Mrs. Rivas 𝑹𝒆𝒇𝒍𝒆𝒙𝒊𝒗𝒆 𝑪𝒐𝒏𝒈𝒓𝒖𝒆𝒏𝒕 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒚 𝑨𝑺𝑨
23. Developing Proof Complete the proof by filling in the blanks.
Given: 𝐻𝐼𝐽 ≅ ∠𝐾𝐼𝐽, and 𝐼𝐽𝐻≅∠𝐼𝐽𝐾
Prove: 𝐻𝐼𝐽≅𝐾𝐼𝐽
Proof: 𝐻𝐼𝐽≅𝐾𝐼𝐽 and 𝐼𝐽𝐻≅𝐼𝐽𝐾 are given.
𝑹𝒆𝒇𝒍𝒆𝒙𝒊𝒗𝒆 𝑪𝒐𝒏𝒈𝒓𝒖𝒆𝒏𝒕 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒚
𝐼𝐽 ≅ 𝐼𝐽
by _____.
𝑨𝑺𝑨
So, 𝐻𝐼𝐽≅𝐾𝐼𝐽 by _____.

18. Mrs. Rivas Proof: ∠𝑳𝑶𝑴 ≅∠𝑵𝑷𝑴 and 𝑳𝑴 ≅ 𝑵𝑴 are given.
Prove: 𝐿𝑂𝑀≅𝑁𝑃𝑀
Proof: ∠𝑳𝑶𝑴 ≅∠𝑵𝑷𝑴 and 𝑳𝑴 ≅ 𝑵𝑴 are given.
∠𝑳𝑶𝑴 ≅∠𝑵𝑷𝑴 because vertical angles are ≅.
So, ∠𝑳𝑶𝑴 ≅∠𝑵𝑷𝑴 by AAS.

19. Mrs. Rivas Prove: 𝐴𝐸 Given All right angles are congruent
(4-4) 1. Complete the proof.
Given: 𝐵𝐷 ⊥ 𝐴𝐵 , 𝐵𝐶 ⊥ 𝐷𝐸 , 𝐵𝐶 ≅ 𝐷𝐶
Prove: 𝐴𝐸
Statements
Reasons
a) 𝐵𝐷 ⊥ 𝐴𝐵 , 𝐵𝐶 ⊥ 𝐷𝐸 a)
b) 𝐶𝐷𝐸 and 𝐶𝐵𝐴 are right angles.
b) Definition of right angles
c) 𝐶𝐷𝐸  𝐶𝐵𝐴 c) d)
d) Vertical angles are congruent.
e) 𝐵𝐶 ≅ 𝐷𝐶 e) f)
g) 𝐴  𝐸 g)
Given
All right angles are congruent
∠𝑬𝑪𝑫 ≅∠𝑨𝑪𝑩
Given
∆𝑪𝑫𝑬≅∆𝑪𝑩𝑨
ASA
CPCTC

20. Mrs. Rivas 𝑹𝒆𝒎𝒐𝒕𝒆 𝒂𝒏𝒈𝒍𝒆𝒔 𝒚+𝟔𝟓=𝟏𝟏𝟓 𝒚=𝟓𝟎 𝟏𝟖𝟎−𝟏𝟏𝟓=𝟔𝟓
(4-5) Algebra Find the values of 𝒙 and 𝒚. 2.
𝑹𝒆𝒎𝒐𝒕𝒆 𝒂𝒏𝒈𝒍𝒆𝒔
𝒚+𝟔𝟓=𝟏𝟏𝟓 𝟔𝟓 𝟔𝟓
𝒚=𝟓𝟎
𝟏𝟖𝟎−𝟏𝟏𝟓=𝟔𝟓
𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 base angles are congruent
𝒙=𝟔𝟓

21. 𝑬𝒒𝒖𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 all sides are equal and all angles are equal
Mrs. Rivas
Algebra Find the values of 𝒙 and 𝒚.
𝑬𝒒𝒖𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔
all sides are equal and all angles are equal 3. 𝟔𝟎
𝒙+𝟓=𝟔𝟎
𝒚−𝟏𝟎=𝟔𝟎 𝟔𝟎 𝟔𝟎
𝒙=𝟓𝟓
𝒚=𝟕𝟎

22. Mrs. Rivas 𝒙+𝟏𝟏𝟎=𝟏𝟖𝟎 𝑹𝒆𝒎𝒐𝒕𝒆 𝒂𝒏𝒈𝒍𝒆𝒔 𝒙=𝟕𝟎 𝒚+𝟗𝟎=𝟏𝟏𝟎 𝒚=𝟐𝟎
Algebra Find the values of 𝒙 and 𝒚. 4.
𝑹𝒆𝒎𝒐𝒕𝒆 𝒂𝒏𝒈𝒍𝒆𝒔
𝒙+𝟏𝟏𝟎=𝟏𝟖𝟎
𝒙=𝟕𝟎
𝒚+𝟗𝟎=𝟏𝟏𝟎
𝒚=𝟐𝟎

23. Mrs. Rivas 𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 base angles are congruent 𝟒𝟓+𝟒𝟓+𝒙=𝟏𝟖𝟎
Algebra Find the values of 𝒙 and 𝒚. 5.
𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 base angles are congruent
𝟒𝟓+𝟒𝟓+𝒙=𝟏𝟖𝟎
𝒚+𝒚+𝟏𝟐𝟎=𝟏𝟖𝟎
𝟗𝟎+𝒙=𝟏𝟖𝟎
𝟐𝒚+𝟏𝟐𝟎=𝟏𝟖𝟎
𝒙=𝟗𝟎
𝟐𝒚=𝟔𝟎
𝒚=𝟑𝟎

24. 𝑬𝒒𝒖𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 all sides are equal and all angles are equal
Mrs. Rivas
(4-5) Algebra Find the values of 𝒙 and 𝒚.
𝑬𝒒𝒖𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔
all sides are equal and all angles are equal 6. 𝟔𝟎
𝟒𝒙=𝟔𝟎 𝟔𝟎 𝟔𝟎
𝒙=𝟏𝟓
𝑹𝒆𝒎𝒐𝒕𝒆 𝒂𝒏𝒈𝒍𝒆𝒔
𝒚=𝟔𝟎+𝟔𝟎
𝒚=𝟏𝟐𝟎

25. Mrs. Rivas 𝒚=𝟑𝟕 𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 base angles are congruent
(4-5) Algebra Find the values of 𝒙 and 𝒚. 7. 𝟑𝟕
𝒚=𝟑𝟕 𝟑𝟕 𝟑𝟕
𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔 base angles are congruent
𝟑𝟕+𝟑𝟕+𝒙+𝟑𝟕=𝟏𝟖𝟎
𝟏𝟏𝟏+𝒙=𝟏𝟖𝟎
𝒙=𝟔𝟗

26. Mrs. Rivas 𝟒𝟓+𝒎∠𝑨𝑪𝑩=𝟏𝟖𝟎 𝒎∠𝑨𝑪𝑩=𝟏𝟑𝟓
Use the properties of isosceles and equilateral triangles to find the measure of the indicated angle.
8. 𝑚𝐴𝐶𝐵
𝟒𝟓+𝒎∠𝑨𝑪𝑩=𝟏𝟖𝟎
𝒎∠𝑨𝑪𝑩=𝟏𝟑𝟓 𝟒𝟓

27. Mrs. Rivas 𝟕𝟎+𝟗𝟎+𝒎∠𝑫𝑩𝑪=𝟏𝟖𝟎 𝟏𝟔𝟎+𝒎∠𝑫𝑩𝑪=𝟏𝟖𝟎 𝒎∠𝑫𝑩𝑪=𝟐𝟎
Use the properties of isosceles and equilateral triangles to find the measure of the indicated angle.
9. 𝑚𝐷𝐵𝐶
𝟕𝟎+𝟗𝟎+𝒎∠𝑫𝑩𝑪=𝟏𝟖𝟎
𝟏𝟔𝟎+𝒎∠𝑫𝑩𝑪=𝟏𝟖𝟎
𝒎∠𝑫𝑩𝑪=𝟐𝟎 𝟕𝟎

28. Mrs. Rivas 𝟓𝟓+𝟓𝟓+𝒎∠𝑫𝑪𝑬=𝟏𝟖𝟎 𝟏𝟏𝟎+𝒎∠𝑫𝑪𝑬=𝟏𝟖𝟎 𝒎∠𝑫𝑪𝑬=𝟕𝟎 𝒎∠𝑨𝑩𝑪=𝟓𝟓
Use the properties of isosceles and equilateral triangles to find the measure of the indicated angle.
10. 𝑚𝐴𝐵𝐶
𝟓𝟓+𝟓𝟓+𝒎∠𝑫𝑪𝑬=𝟏𝟖𝟎 𝟓𝟓 𝟓𝟓
𝟏𝟏𝟎+𝒎∠𝑫𝑪𝑬=𝟏𝟖𝟎 𝟕𝟎
𝒎∠𝑫𝑪𝑬=𝟕𝟎 𝟕𝟎
𝒎∠𝑨𝑩𝑪=𝟓𝟓 𝟓𝟓

29. Mrs. Rivas 𝒎=𝟒𝟓 (𝒏+𝟒𝟓)+(𝒏+𝟒𝟓)+𝟔𝟎=𝟏𝟖𝟎 𝟐𝒏+𝟗𝟎+𝟔𝟎=𝟏𝟖𝟎 𝟐𝒏+𝟏𝟓𝟎=𝟏𝟖𝟎 𝟐𝒏=𝟑𝟎
Algebra Find the values of m and n.
11.
𝒎=𝟒𝟓
(𝒏+𝟒𝟓)+(𝒏+𝟒𝟓)+𝟔𝟎=𝟏𝟖𝟎
𝟐𝒏+𝟗𝟎+𝟔𝟎=𝟏𝟖𝟎 𝟒𝟓
𝟐𝒏+𝟏𝟓𝟎=𝟏𝟖𝟎
𝟐𝒏=𝟑𝟎
𝒏=𝟏𝟓

30. Mrs. Rivas
Algebra Find the values of m and n.
12. 𝟒𝟒
𝟔𝟖+𝟔𝟖 + ?=𝟏𝟖𝟎 ? 𝟒𝟒
𝟏𝟑𝟔 + ?=𝟏𝟖𝟎
?=𝟒𝟒 𝟔𝟖
𝒎=𝟒𝟒
𝒏=𝟔𝟖

31. base angles are congruent
Mrs. Rivas
Algebra Find the values of m and n.
13.
𝑰𝒔𝒐𝒔𝒄𝒆𝒍𝒆𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆𝒔
base angles are congruent 𝟒𝟓 𝟒𝟓
𝒏+𝒏 +𝟗𝟎=𝟏𝟖𝟎
𝟐𝒏+𝟗𝟎=𝟏𝟖𝟎 𝟒𝟓
𝟐𝒏=𝟗𝟎
𝒎+𝒎 +𝟒𝟓=𝟏𝟖𝟎
𝒏=𝟒𝟓
𝟐𝒎+𝟒𝟓=𝟏𝟖𝟎
𝟐𝒎=𝟏𝟑𝟓
𝒎=𝟔𝟕.𝟓

32. Mrs. Rivas 𝟐𝒙+𝒚=𝟖𝒙−𝟐𝒚 𝟐(𝟑)+𝒚=𝟖(𝟑)−𝟐𝒚 𝟒𝒙+𝟏=𝟏𝟑 𝟔+𝒚=𝟐𝟒−𝟐𝒚 𝟒𝒙=𝟏𝟐 𝟔+𝟑𝒚=𝟐𝟒
(4-6) Algebra For what values of x or x and y are the triangles congruent by HL?
14.
𝟐𝒙+𝒚=𝟖𝒙−𝟐𝒚
𝟐(𝟑)+𝒚=𝟖(𝟑)−𝟐𝒚
𝟒𝒙+𝟏=𝟏𝟑
𝟔+𝒚=𝟐𝟒−𝟐𝒚
𝟒𝒙=𝟏𝟐
𝟔+𝟑𝒚=𝟐𝟒
𝒙=𝟑
𝟑𝒚=𝟏𝟖
𝒚=𝟔

33. Mrs. Rivas 𝒙+𝒚=𝟑𝒙−𝟑𝒚 𝟐 +𝒚=𝟑 𝟐 −𝟑𝒚 𝟐𝒙+𝟏=𝒙+𝟑 𝟐+𝒚=𝟔−𝟑𝒚 𝒙+𝟏=𝟑 𝟐+𝟒𝒚=𝟔 𝒙=𝟐
(4-6) Algebra For what values of 𝒙 or 𝒙 and 𝒚 are the triangles congruent by 𝑯𝑳?
15.
𝒙+𝒚=𝟑𝒙−𝟑𝒚
𝟐 +𝒚=𝟑 𝟐 −𝟑𝒚
𝟐𝒙+𝟏=𝒙+𝟑
𝟐+𝒚=𝟔−𝟑𝒚
𝒙+𝟏=𝟑
𝟐+𝟒𝒚=𝟔
𝒙=𝟐
𝟒𝒚=𝟒
𝒚=𝟏

34. Mrs. Rivas 𝒚+𝟓=𝟐𝒚−𝒙 𝒚+𝒙=𝒙+𝟕 𝒚=𝟕 𝟕+𝟓=𝟐(𝟕)−𝒙 𝟏𝟐=𝟏𝟒−𝒙 𝒙=𝟐
(4-6) Algebra For what values of 𝒙 or 𝒙 and 𝒚 are the triangles congruent by 𝑯𝑳?
16.
𝒚+𝟓=𝟐𝒚−𝒙
𝒚+𝒙=𝒙+𝟕
𝒚=𝟕
𝟕+𝟓=𝟐(𝟕)−𝒙
𝟏𝟐=𝟏𝟒−𝒙
𝒙=𝟐

35. Mrs. Rivas ∠𝑹𝑻𝑺 ∠𝑹𝑻𝑼 𝒓𝒊𝒈𝒉𝒕 𝒓𝒊𝒈𝒉𝒕 𝑹𝑻 𝑹𝑼 𝑯𝑳
17. Developing Proof Complete the paragraph proof.
Given: 𝑅𝑇 ⊥ 𝑆𝑈 , 𝑅𝑈 ≅ 𝑅𝑆
Prove: ∆𝑅𝑈𝑇 ≌ ∆𝑅𝑆𝑇
Proof: It is given that 𝑅𝑇 ⊥ 𝑆𝑈 . So, _____ and _______are _______ angles
∠𝑹𝑻𝑺
∠𝑹𝑻𝑼
𝒓𝒊𝒈𝒉𝒕
because perpendicular lines form ______ angles. _______  𝑅𝑇 by the
𝒓𝒊𝒈𝒉𝒕 𝑹𝑻 𝑹𝑼
Reflexive Property of Congruence. It is given that _______ 𝑅𝑆 . So, 𝑯𝑳
∆𝑅𝑈𝑇 ≌ ∆𝑅𝑆𝑇 by _______.

36. Mrs. Rivas ∠𝑨 ∆𝐵𝑌𝐴 and ∆𝐶𝑋𝐴
(4-7) Separate and redraw the indicated triangles. Identify any common angles or sides.
16.
∆𝐵𝑌𝐴 and ∆𝐶𝑋𝐴 ∠𝑨

37. Mrs. Rivas 𝑬𝑯 ∆𝐺𝐸𝐻 and ∆𝐹𝐸𝐻
(4-7) Separate and redraw the indicated triangles. Identify any common angles or sides.
17.
∆𝐺𝐸𝐻 and ∆𝐹𝐸𝐻 𝑬𝑯

38. Mrs. Rivas 𝑵𝒐𝒏𝒆 ∆𝑀𝑃𝑁 and ∆𝑀𝑂𝑄
(4-7) Separate and redraw the indicated triangles. Identify any common angles or sides.
18.
∆𝑀𝑃𝑁 and ∆𝑀𝑂𝑄
𝑵𝒐𝒏𝒆