Coordinate Geometry Practice
Name:_______________________
Per:___________
For problems 1-5: Given a set of vertices, determine what type of quadrilateral QRST creates. PROVE your
answer using evidence from slope and/or distance formulas!
1.) N(2, –4), O(–6, –8), T(–10, 2), E(–2, 6)
2.) Q(1, 3), U(5, 0), A(8, –5), D(–4, 4).
3.) M(-3, –3), A(1, 1), T(5, -3), H(1, -7)
4.) S(1, 0), H(1, 4), O(-3, 2), W(3, 2)
5.) W(-3, 4), O(-1, 1), R(-3, -2), K(-5, 1).
6.) ABCD is a rectangle with the following coordinates:
A(-2, 1), B(-1, 3), C(3, 1). Find the coordinates of D.
Chapter 6 Proof Practice
1. Given: ABCD is a parallelogram
DE ≅ BF
∠GAF ≅ ∠GCE
Prove: ∆EGC ≅ ∆FGA
a.
b.
c.
d.
e.
f.
g.
Statement
Reason
ABCD is a parallelogram
∠GAF ≅ ∠GCE
���� ≅ 𝑨𝑩
����
𝑫𝑪
���� ≅ 𝑩𝑭
����
𝑫𝑬
���� ≅ 𝑭𝑨
����
𝑬𝑪
∠EGC ≅ ∠FGA
∆EGC ≅ ∆FGA
a.
b.
c.
d.
e.
f.
g.
2. Given: ABCD is a parallelogram
AE ≅ FC
Proof: ∆ADE ≅ ∆CBF
Given
Given
Given
Subtraction Property
3. Given: ABDE is a rectangle
���� ≅ ����
𝑩𝑪
𝑫𝑪
���� ≅ 𝑬𝑪
����
Prove: 𝑨𝑪
4. Given: ∠CMF ≅ ∠EMF
∠CFM ≅ ∠EFM
Prove: △DMC ≅ △DME
Statement
a. ∠CMF ≅ ∠EMF, ∠CFM ≅
∠EFM
b.
c. △CMF ≅ △EMF
d.
e.
f. ∠CMD and ∠CMF are
supplementary
∠CMF and ∠CMF are
supplementary
g.
h. △DMC ≅ △DME
Reason
a. Given
b.
c.
d. CPCTC
e. Reflexive Property
f.
g. ∠’s that are supplementary to ≅ ∠’s
are ≅.
h.