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Geometry Review
Test 3.1 (4.1 – 4.3, 4.8)
Name: ____KEY_________________
4.1 Classifying Triangles
Classify each triangle by its angle measure.
1. ΔXYZ_____acute______
2. ΔXYW
_____equiangular______
3. ΔXZW
_____obtuse______
Classify each triangle by its side lengths.
4. ΔEFG
_____isosceles______
5. ΔDEG
_____scalene______
6. ΔDEF
_____equilateral______
4.2 Angle Relationships
Find each angle measure.
7. m<ACB
_____85 degrees______
8. m<NKM
_____47 degrees (hint: 180 = 5x)______
4.3 Congruent Triangles
Given ΔABC is congruent to ΔXYZ, identify the congruent corresponding parts by drawing a sketch.
Sketch:
9. BC = YZ
11. <Y = <B
10. ZX = CA
12. <A = <X
Given ΔJKL is congruent to ΔPQR, find each value. SHOW WORK!
13. x = __14___
14. RP = __15___
4.8 Isosceles Triangles
Find each angle measure.
15. <B = ___36 degrees___
16. <HEF = __75 degrees___
MIXED REVIEW
Use the Exterior Angle Theorem
or other methods to find the following values in each problem.
C
17.
18.
Z
(2x)º
x =__18___
x = __10___
(3x+4)º
(12x-2)º
C
y
<CDE = __90°__
<DEC = __54°__
y = __62___
(5x)º
(3x)º
(4y)º
B
E
D
(8x+4)º
<ZBA = __84°__
<ECD = __36°__
y =__31.5__
Classify by angles: __right triangle__
19.
Classify by angles: __acute triangle__
A
x = __5__
y =__6__
3x-7
2x-2
<ABC = __60°__
(10y)º
C
x+3
Classify by sides: __equilateral triangle__
Classify by angles: __equiangular triangle__
B
A
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