Download 4.1 – 4.4 In-Class Review 1) Classify the triangle by its sides and

4.1 – 4.4 In-Class Review
1) Classify the triangle by its sides and angles.
5
3
4
2) Classify the triangle by its sides and angles.
30
75
3) If XYZ is an isosceles triangle, ∡𝑌 is the vertex angle, XY = 5x + 3, YZ =
7x – 5, and XZ = 3x – 8, find the value of x and the length of XZ.
4) Find the missing angle measures using the figure below.
a) m∠1
b) m∠2
c) m∠3
d) m∠4
e) m∠5
5) Given the triangles below, write out a true congruence statement about
the triangles.
6) Suppose △ABC ≅ △DEF.
a) Find the value of y.
b) Find the value of x.
7) If KMD  SCD, which side corresponds to ̅̅̅̅
𝑆𝐷 ?
8) In the figures below, determine which theorem/postulate can be used to
show that the triangles are congruent to each. (Note: it may not be
possible).
a)
b)
N
A
C
9) Fill in the blanks to complete the following proof:
Given: O is the midpoint of ̅̅̅̅
𝐴𝐷
O is the midpoint of ̅̅̅̅
𝐵𝐶
Prove: AOB  DOC
Statement
1) O is the midpoint of ̅̅̅̅
𝑨𝑫
2) ̅̅̅̅
𝑨𝑶 ≅ ̅̅̅̅̅
𝑫𝑶
3) O is the midpoint of ̅̅̅̅
𝑩𝑪
4)
5) ∡𝑨𝑶𝑩 ≅ ∡𝑫𝑶𝑪
6)
Reason
1) Given
2)
3)
4) Midpoint Theorem
5)
6)