NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 1 Practice Test
For Exercises 1-3, use the figure at the right.
1. Name five planes shown in the figure.
1. ________________________
⃡ and 𝐴𝐵
⃡ .
2. Name a line that is coplanar with 𝐴𝐷
2. ________________________
3. The midpoint of a line segment AB is (1, 2). Point A coordinates are (3, –3)
and point B coordinates are (x, 7). Find the value of x.
̅̅̅̅.
4. Find the length of 𝐴𝐵
3. ________________________
4. ________________________
̅̅̅̅ if C, D, and E are collinear, CE = 15.8
5. Find two possible lengths for 𝐶𝐷
centimeters, and DE = 3.5 centimeters.
5. ________________________
̅̅̅̅ if S is between R and T, the length of 𝑅𝑆
̅̅̅̅ is 1 the length
6. Find the length of 𝑅𝑆
3
̅̅̅̅, RS = 3x – 3, and ST = 2x + 6.
of 𝑅𝑇
6. ________________________
7. Find the value of y if AC = 3y + 5, CB = 4y – 1, AB = 9y – 12, and point C lies
between A and B.
7. ________________________
For Exercises 8-10, use the coordinate grid at
the right.
8. ________________________
8. Find the distance between A and B.
̅̅̅̅ is the hypotenuse of a right triangle, what
9. If 𝐴𝐵
is the area of the triangle?
9. ________________________
10. Find two possible coordinates of a point D on a line containing ̅̅̅̅
𝐴𝐵 so that
1
AD = AB.
10. _______________________
11. Angles ∠ ABC and ∠ CBD form a linear pair at the vertex point B.
Which three points, A, B, C, or D, are collinear?
11. _______________________
4
Chapter 1
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Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 1
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Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 1 Test, Form 3 (continued)
̅̅̅̅, T is the midpoint of ̅̅̅̅
12. Find the value of y if S is the midpoint of 𝑅𝑇
𝑅𝑈,
RS = 6x + 5, ST = 8x – 1, and TU = 11y + 13.
12. _______________________
13. Find all values of x that will make ∠ A an obtuse angle given m∠ A = 12x – 6.
13. _______________________
14. Find m∠ RST if 𝑆𝑇 bisects ∠ RSU
and 𝑆𝑈 bisects ∠ TSV.
14. _______________________
15. Find m∠ 1 if ∠ 1 is complementary to ∠ 2, ∠ 2 is supplementary to ∠ 3, and
m∠ 3 = 126.
15. _______________________
16. Find the value of y if 𝑋𝑊 ⊥ 𝑋𝑍 , Y is in the interior of ∠ WXZ,
m∠ WXY = 6y – 3, and m∠ YXZ = 4y + 13.
16. _______________________
17. Find the length of ̅̅̅̅
𝐿𝑀 if ⃡𝑂𝑁 is
̅̅̅̅
the bisector of 𝐿𝑀 and LN = 3x + 2.
17. _______________________
For Exercises 18 and 19, use the coordinate grid.
18.
18. Graph polygon ABCD with vertices A(4, 3), B(0, 3), C(–2, 2), and D(–5, 6).
Then name polygon ABCD by its number of sides and classify it as convex or
concave and regular or irregular.
19. Find the perimeter of polygon ABCD.
_______________________
20. Darren is baking a two-layered cake and each layer is in the shape of a
cylinder. The radius of the bottom layer is 5 inches and the radius of the top
layer is 3 inches. Both layers are 2 inches high. Find the volume of the cake
batter Darren needs to make this cake.
19. _______________________
20. _______________________
Bonus Suppose a regular quadrilateral and a regular triangle have the same
perimeter. The sides of the triangle are 3 inches longer than the sides of
the quadrilateral. Find the lengths of the sides of the quadrilateral and the
triangle.
Chapter 1
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B:________________________
Glencoe Geometry