Font size
WorksheetsMath 8: Unit 2 End of Unit Review
Total questions: 20
Worksheet time: 3585secs
Select all the true statements.
After a dilation, the angle measures in the image are greater than the corresponding angle measures of the original figure.
Dilations of a figure are always congruent to the original figure.
Dilations of a figure are similar to the original figure.
When a figure is dilated, the image has the same corresponding angle measures of the original
figure.
Dilations always increase the length of line segments.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
Segment AB measures 4 units. What is the length, in units, of the image of segment AB after a dilation using a scale factor of 3?
A triangle has vertices with coordinates X(2,0), Y(3, -1) and Z(-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
X'(5,3), Y'(6,2), Z'(1,-2)
X'(6,0), Y'(9,-3), Z'(-6,-15)
X'(2/3,0), Y'(1,-1/3), Z'(-2/3,-5/3)
X'(-1,-3), Y'(0,-4), Z'(-5,-8)
Triangle ABC is dilated so that the coordinates of
C' are (2, -1).
What is the scale factor of the dilation?
21
31
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5 with center of dilation at the origin?
(-5, 5)
(5, -5)
(5, 10)
(7.5, -2.5)
Triangle 𝑻𝑼𝑽, with coordinates 𝑻 (1,3), 𝑼 (3, 4), and 𝑽 (6,1), undergoes a dilation about the origin to produce triangle 𝑾𝑿𝒀.
If triangle 𝑾𝑿𝒀 has coordinates 𝑾(2, 6), 𝑿(6, 8), and 𝒀(12,2), what is the scale factor?
Given that Triangle ABC is similar to Triangle DEF. Find the angle B.
60⁰
42⁰
79⁰
180⁰
Are the two triangles similar?
Yes
No
Not Enough Information
Are the two triangles similar?
Yes
No
Not Enough Information
Are the two triangles similar?
Yes
No
Not Enough Information
In each pair of triangles, some — but not all — of the angle measures are given.
Select all triangles that are similar.
Triangle A:35°, 75° Triangle B: 35°, 75°
Triangle A: 50° Triangle B: 50°
Triangle E: 60°, 90° Triangle F: 30°, 60°
Triangle G: 50°, 95°
Triangle H: 50°, 111°
Select all lines that has a slope of 21 .
What is the slope of the line.
Which statement explains why the slope of line segment 𝑸K is equivalent to the slope of line segment KM?
The ratio of QR to RS is equivalent to the ratio of KR to MS.
The ratio of QR to RK is equivalent to the ratio of QS to SM
The ratio of KR toQR is equivalent to the ratio of MS to QS
The ratio of QK to QR is equivalent to the ratio of MK to SM
Triangle DEF and Triangle ABC are similar.
Which ratio equivalent to FDEF demonstrates that the slope of the line is the same between any two distinct points on a line?
BCAC
DAFD
ACFD
ACBC
What is the slope of the line?
2
3
2/3
3/2
Identify the slope of the black line. You can use the blue slope triangles to help you.
32
43
23
31
Triangle ABC and triangle DEF are similar right triangles.
Based on this information, which state is true?
The slope of the line segment AC is LESS THAN the slope of the line segment CE.
The slope of the line segment AC is EQUAL TO the slope of the line segment CE.
The relationship of the slope of the line segment AC and the slope of the line segment CE CANNOT be determined.
The slope of the line segment AC is GREATER THAN the slope of the line segment CE.
