# Review 4.1-4.3

```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&deg;
19&deg;
b)
equiangular
68&deg;
equilateral
isosceles
22&deg;
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 βWXY is an isosceles triangle with base ππ, 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) mοXZY
b) mοCAM
Y
47&deg;
C
29ο°
X
36
&deg;
Z
4. Solve for x and then find the value of the indicated angle.
a) mοMTA and mοBAM
b) mοYXZ
Y
(π₯)&deg;
B
30ο°
(3x - 31)ο°
(x +31)ο°
X
(2π₯)&deg;
(4π₯ + 5)&deg; Z
5. Mark the following information in the diagram: VW ο WY , XW ο WZ ,VZ ο YX , οV ο οY , οZ ο οX . Write a congruence
statement for the triangles.
V
β ___________ ο β _______________
X
W
Z
Y
6. Show that the triangles are congruent by identifying all of the congruent corresponding parts based on the congruency statement.
βπ΄ππΊ ≅ βπ½ππ
________ ≅ _______
________ ≅ ________
________ ≅ _______
________ ≅ ________
________ ≅ _______
________ ≅ ________
7. If οSJL ≅ οDMT, which segment corresponds to LS ?
8. What does CPCTC stand for?
9. Given οABC ο οPQR, find the values of x and y.
2y – 1
Q
R
A
7
B 85ο°
50ο°
5
(10x + 5)ο°
C
P
```