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Geometry
REVIEW: Chapter 1
Name ___________________________________
1. How many planes can be drawn through any three noncollinear points?
1 plane
For numbers 2 and 3, use the figure at the right.
2. Which three points in the figure are collinear?
F, E, G
3. Name the intersection of the plane P and the plane that contains points B, C, and D.
BC
����. Write your answer as a reduced mixed number.
4. Find the length of 𝑅𝑆
5
1
in
16
5. Given A is between Y and Z and YA = 5.5, AZ = 2x, and YZ = 41.5, find AZ.
AZ = 36
���� .
6. Find the length of 𝑃𝑄
7. Find the distance between P(2, 8) and Q(5, 3).
Write your answer in simplified radical form.
34
PQ = 25.7 cm
8. Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.
y=6
���� if L(8, 5) and B(–6, 2).
9. Find the coordinates of the midpoint of 𝐿𝐵
7
(1, )
2
10. Graph the ordered pairs A(-2, 3), B(3, 3) and C(2, -1). Then find the area and perimeter of the figure formed. Round all values to
the nearest tenth.
14.8 u
Perimeter:
10 u2
Area:
For numbers 11 and 12, use the figure at the right.
11. Classify ∠ABC as acute, right, obtuse, or straight.
obtuse

12. ED bisects ∠GEF. If m∠GED = (2x – 8)° and m∠DEF = 80°, find the value of x and m∠GEF.
x = 44, m<GEF = 160◦
13. Which figure best represents the first step in constructing the bisector of PQ ?
a)
b)
A
c)
d)
For numbers 14-18, use the figure at the right.
14. Find m∠FBD if ∠FBD and ∠DBE are complementary and m∠FBD is twice m∠DBE.
m<FBD = 60◦
15. Which pair of angles are supplementary?
answers vary
16. Which angle is a vertical angle to ∠ABE?
<CBD
���� ⊥ 𝐵𝐹
���� .
17. If m∠CBF = (6x + 18)°, find the value of x so that 𝐶𝐵
x = 12
18. Find m∠ABC if m∠ABC = (4x + 9)° and m∠EBD = (7x – 9)°.
m<ABC = 33◦
19. Classify the figure below by the number of sides it has, then determine if it is concave
or convex, then determine if it is regular.
hexagon; concave; irregular
20. Find m∠A if ∠A is complementary to ∠B, ∠B is supplementary to ∠C, m∠B = (15x – 2)°, and m∠C = (25x + 22)°.
m<A = 32◦
21. A student uses a straightedge and a compass to perform a construction given ∠QPS. Which type of construction is best represented in
the figure?
angle bisector