Download Word List and Review Packet for Geometry Midterm

Name_________________________________
Date___________
Word List and Review Packet for Geometry Midterm
Vocabulary word
180°
Definition
Picture
90°
AAS Congruence
Acute angle
Acute triangle
Adjacent angles
Alternate exterior
angles
Alternate interior angles
1
Vocabulary word
Angle
Definition
Picture
Angle bisector – show
the construction
Base
Base angle
Centroid
Circumcenter
Collinear
Complementary angles
Conclusion
2
Vocabulary word
Conditional statement
Definition
Picture
Congruent
Conjecture
Consecutive interior
angles
Converse statement
Coplanar
Corresponding angles
Counterexample
Deductive reasoning
3
Vocabulary word
Dilation
Definition
Picture
Enlargement
Equiangular triangle
Equilateral triangle
Exterior Angle
Hypothesis
H-L Congruence Theorem
Incenter
Interior angle
4
Vocabulary word
Intersection
Definition
Picture
Inverse Statement
Isometry
Isosceles triangle
Line
Linear pair
Midpoint
Midsegment – show how
to create the
perpendicular bisector of
a segment
Obtuse angle
5
Vocabulary word
Obtuse triangle
Definition
Picture
Parallel lines
Perpendicular lines
Plane
Point
Proof
Proportions
Ratio
Ray
6
Vocabulary word
Reason
Definition
Picture
Reduction
Reflection
Reflexive property
Right angle
Right triangle
Rotation
SAS
Scale Factor
7
Vocabulary word
Scalene triangle
Definition
Picture
Segment
Side
Similarity
SSS Congruence
Statement
Supplementary Angles
Transformation
Transitive Property
8
Vocabulary word
Translation
Definition
Picture
Transversal
Triangle
Vertex
Vertex Angle
Vertical angles
9
Name______________________________
Date__________
Triangle review: Short Answer
Identify all triangles in the figure that fit the given description.
1. equilateral
2. isosceles
Decide whether it is possible to prove that the triangles are congruent. If it is possible, tell
which congruence postulate or theorem you would use.
3.
3.
4.
5.
Find the value of x.
6.
7.
8.
9.
10.
11.
10
12.
12.
13.
The vertices of a polygon are given. Find the coordinates of the vertices of the image after the
specified translation.
14. A(–2, –1), B(–3, 4), C(–1, 3), D(–1, –1); (x, y)
(x – 4, y – 2)
Solve.
15.
16.
17.
Complete.
18. If
19.
, then
If
_____?_____.
, then
.
Use the diagram to find x.
20.
11
Questions 21-25, use the diagram on the right: Given:
.
21. Find the scale factor of ABCD to WXYZ.
22. Find the scale factor of WXYZ to ABCD.
23. Find the values of s, t, and u.
24. Find the perimeter of each polygon.
25. Find the ratio of the perimeter of ABCD to the perimeter of WXYZ.
Are the triangles similar? If so, state the similarity and a postulate or theorem that can be used
to prove that the triangles are similar.
26.
27.
29.
28.
30.
For questions 21-25 use the diagram at the right:
31.
34.
32.
35.
33.
12
The vertices of a polygon are given. Find the coordinates of the vertices of the image after a
dilation having the given scale factor.
36. A(–6, 2), B(2, 2), C(2, 0), D(–6, 0); k = 0.5
37. P(–8, 4), Q(4, 4), R(0, –4), S(–4, –4); k =
For questions 38-42 use the diagram at the right, Given:
38. Find the scale factor of ABCDE to VWXYZ.
39. Find the scale factor of VWXYZ to ABCDE.
40. Find the values of r, s, t, and u.
41. Find the perimeter of each polygon.
42. Find the ratio of the perimeter of ABCDE to the perimeter of VWXYZ.
43.
of
has vertices A(0, –3), B(3, 1), and C(3, –3). Find the coordinates of the vertices of the image
after a dilation having a scale factor of 3. Then find the perimeter of the image.
44. The ratios of the side lengths of triangle ABC are 7:9:12 (AB:AC:BC). Solve for x.
13
Complete the proof.
1. Given:
Prove:
2. Given:
Prove:
14
3. Given:
Prove:
4. Given:
,
Prove:
5. If
, show that
.
15
Perform the following transformation on the triangle in order.
a) Translate the triangle (x, y) → ( x + 9 , y – 10)
b) Reflect the triangle over the x-axis
c) Rotate the triangle 180° clockwise
16
17