Download Study Guide - Geometry Honors

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Write an equation in slope-intercept form for the line that satisfies the given conditions.
1. m = 3, contains (–1, 5)
2. Identify the congruent triangles and name their corresponding congruent angles.
State the definition, property, postulate, or theorem that justifies each statement.
3. AB + BC = AC
4. The vertices of a triangle are located at P(0, 0), Q(8, 6), and R(–3, 4). What is the perimeter of this triangle?
Determine whether
and
are parallel, perpendicular, or neither.
5. C(1, –12), S(5, 4), K(1, 9), P(6, –6)
6. Bonus Find the dimensions of a rectangle whose length is 3 more than twice its width and has a perimeter of 30
centimeters.
Use the polygons to answer the following questions.
7. Name polygon ABCDEF by its sides. Then classify it as convex or concave and regular or not regular.
8. KLM is an isosceles triangle and
. Name the theorem that could be used to determine
name the postulate that could be used to prove
. Choose from SSS, SAS, ASA, and AAS.
9. Find the measure of the sides of the triangle if the vertices of
the triangle by its sides.
. Then
EFG are E(–3, 3), F(1, –1), and G(–3, –5). Then classify
State the definition, property, postulate, or theorem that justifies each statement.
10. If
X and
Y are complementary,
Z and
Q are complementary, and
, then
.
Use the coordinate grid to answer the following questions.
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11. Find the distance between A and B.
12. Two angles,
1 and
2, are supplementary. Angle 1 is an acute angle. What type of angle is
2?
13. A rectangular piece of paper measuring 8 inches by 16 inches is folded in half to form a square. It is then folded again
along its diagonal to form a triangle. Find the measures of the angles of the triangle.
Use the figure below to answer the following questions.
14. Name the intersection of planes P and N.
Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that
justifies your answer.
15.
Determine the slope of the line that passes through the given points.
16. A(–2, 9), C(2, –15)
Use the figure below to answer the following questions. Find the measure of each angle.
17. m 2
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18. Complete the proof by supplying the missing information. If 2x – 7 = 4, then x =
Proof:
Statements
1. 2x – 7 = 4
2. 2x – 7 + 7 = 4 + 7
3. 2x = 11
Reasons
1. Given
2. Addition Property
3. Substitution
4.
4. ________________
=
5. x =
.
5. Substitution
Use the coordinate grid to answer the following questions.
19. Find the coordinates of the midpoint of
.
20. A circle has a circumference of 6 cm. Find the diameter of the circle.
Write an equation in slope-intercept form for the line that satisfies the given conditions.
21. x-intercept is 3, y-intercept is –1
Use the figure below to answer the following questions.
22. Find m 1.
23. Find m 2.
24. Find the value of x and y if
bisects
and UV = 40.
Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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25.
7 and
15
26. Find the value of x.
Find the distance between each pair of parallel lines.
27. y = –2x + 10 and y = –2x – 5
State the definition, property, postulate, or theorem that justifies each statement.
28. If
and
, then
.
Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
29.
3 and
5
State the definition, property, postulate, or theorem that justifies each statement.
30. If m A + m B = 90 and m B = 20, then m A + 20 = 90.
Determine whether
and
are parallel, perpendicular, or neither.
31. C(–6, –7), S(–3, –5), K(3, 3), P(9, 7)
32. Identify the hypothesis of the statement If you live in Chicago, then you live in Illinois.
33. Find x, AB, BC, and AC if
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ABC is equilateral.
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Answer Key
1. y = 3x + 8
2.
3. Segment Addition Postulate
4.
5. neither
6. length = 11 cm; width = 4 cm
7. hexagon, convex, regular
8. Isosceles
, Theorem, AAS
9. EF = FG = 4
, EG = 8, isosceles
10. Angles complementary to same
or
are .
11.
12. obtuse
13. 45, 45, 90
14.
15.
; Corr.
Post.
16. –6
17. 140
18. Division of Property
19.
20.
cm
21. y =
x–1
22. 108
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23. 68
24. x = 8, y = 7
25. corresponding
26. x = 4
27.
or
28. Transitive Property
29. alternate interior
30. Substitution
31. parallel
32. you live in Chicago
33. x = 3, AB = BC = AC = 24
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