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Honors Geometry
Review Worksheet
Name:_________________________
⃗⃗⃗⃗⃗⃗ and 𝑸𝑹
⃗⃗⃗⃗⃗⃗ are opposite rays.
In the figure 𝑸𝑷
⃗⃗⃗⃗⃗
𝑸𝑺 bisects ∠PQT.
1. If m∠PQT = 60 and m∠PQS = 4x + 14, find the value of x.
2. If m∠PQS = 3x + 13 and m∠SQT = 6x – 2, find m∠PQT.
⃗⃗⃗⃗⃗⃗ are opposite rays. 𝑩𝑭
⃗⃗⃗⃗⃗⃗ and 𝑩𝑪
⃗⃗⃗⃗⃗⃗ bisects ∠CBE.
In the figure 𝑩𝑨
3. If m∠EBF = 6x + 4 and m∠CBF = 7x – 2, find m∠EBF.
4. If m∠3 = 4x + 10 and m∠4 = 5x, find m∠4.
5. If m∠3 = 6y + 2 and m∠4 = 8y – 14, find m∠CBE.
6. Let m∠1 = m∠2. If m∠ABE = 100 and m∠ABD = 2(r + 5), find r and m∠DBE.
Graph each figure with the given vertices and identify the figure. Then find the perimeter and area of the figure.
7. O(3, 2), P(1, 2), Q(1, –4), R(3, –4)
8. S(0, 0), T(3, –2), U(8, 0)
⃡⃗⃗⃗⃗ bisects ∠FCB.
In the figure, ⃡⃗⃗⃗⃗
𝑪𝑩 and ⃡⃗⃗⃗⃗
𝑪𝑫 are opposite rays, ⃡⃗⃗⃗⃗
𝑪𝑬 bisects ∠DCF, and 𝑪𝑮
9. If m∠DCE = 4x + 15 and m∠ECF = 6x – 5, find m∠DCE.
10. If m∠FCG = 9x + 3 and m∠GCB = 13x – 9, find m∠GCB.
Refer to the figure.
11. Name the intersection of line 𝑞 and plane G?.
12. Name a point contained in line n.
13. What is another name for line p?
14. What is another name for plane G?
15. PERIMETER The coordinates of the vertices of a quadrilateral are
R(–1, 3), S(3, 3), T(5, –1), and U(–2, –1).
Find the perimeter of the quadrilateral. Round to the nearest tenth.
Use the number line to find the coordinate of the midpoint of each segment.
̅̅̅̅
16. 𝑅𝑇
17. ̅̅̅̅
𝑄𝑅
̅̅̅̅
18. 𝑆𝑇
̅̅̅̅
19. 𝑃𝑅
Find the coordinates of the missing endpoint if E is the midpoint of ̅̅̅̅
𝑫𝑭 .
20. F(5, 8), E(4, 3)
21. F(2, 9), E(–1, 6)
Find the measure of the angle formed by the hands of a clock at the time given.
23. 5:30
24. 6:15
25. 8:10
26. The measure of the complement of an angle is 2 more than 5 times the measure of the supplement of the angle. What
is the measure of the supplement of the angle, the complement of the angle, and the angle itself?
Complement:____
Supplement:____
Angle:_____
Find the value of x and KL if K is between J and L.
27. JK = 6x, KL = 3x, and JL = 27
28. JK = 2x, KL = x + 2, and JL = 5x – 10
29. Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other
angle. Find the measures of the angles.
30. If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of
the angles?
31. Find the Perimeter and Area of the Irregular figure.
P:_________
A:__________