Geometry Essentials
REVIEW: 4.1 – 4.3
Name:________________________________________
obtuse
right
1. Classify each triangle by its angles and sides. A similar word bank will be proved on the quiz:
acute
a)
19°
19°
b)
equiangular
68°
equilateral
isosceles
22°
scalene
Classification by sides: ____________________
Classification by sides: ______________________
Classification by angles: ___________________
Classification by angles: ______________________
2. a) If Δ WXY is an equilateral triangle with sides WX = 6x – 12, XY = 2x + 10 and WY = 4x – 1, find the value of x and the length of
each side of the triangle.
b) If ∆WXY is an isosceles triangle with base 𝑊𝑋, WX = x + 6, WY = 12 – x, and XY = 4x – 13, find the value of x and the length of
each side of the triangle.
3. Find the measure of the indicated angle.
a) mXZY
b) mCAM
Y
47°
C
29
X
36
°
Z
4. Solve for x and then find the value of the indicated angle.
a) mMTA and mBAM
b) mYXZ
Y
(𝑥)°
B
30
(3x - 31)
(x +31)
X
(2𝑥)°
(4𝑥 + 5)° Z
5. Mark the following information in the diagram: VW  WY , XW  WZ ,VZ  YX , V  Y , Z  X . Write a congruence
statement for the triangles.
V
∆ ___________  ∆ _______________
X
W
Z
Y
6. Show that the triangles are congruent by identifying all of the congruent corresponding parts based on the congruency statement.
∆𝐴𝑀𝐺 ≅ ∆𝐽𝑅𝑆
________ ≅ _______
________ ≅ ________
________ ≅ _______
________ ≅ ________
________ ≅ _______
________ ≅ ________
7. If SJL ≅ DMT, which segment corresponds to LS ?
8. What does CPCTC stand for?
9. Given ABC  PQR, find the values of x and y.
2y – 1
Q
R
A
7
B 85
50
5
(10x + 5)
C
P