WorksheetsSimilarity, Congruence, Triangle, and Quadrilateral Properties
Total questions: 15
Worksheet time: 11mins
Solve for x using the exterior angle theorem.
49
7
-14
27
For rhombus NERD, which of the following is true?
ED = NR
segment ER is perpendicular to segment RD
segment ED is perpendicular to segment NR
Angles N and D are congruent
For two similar triangles, the scale factor is 2. If the perimeter and area of the smaller triangle are 20 and 16, respectively, what are the perimeter and area of the larger triangle?
20 and 16
40 and 32
40 and 48
40 and 64
What extra information is needed to be given to show that the two triangles are congruent by SAS?
AB = ED
angle A measure = angle E measure
angle B measure = angle E measure
None; there is enough information already.
In which step is the distance between the sides of the angle measured?
1
2
3
4
In the image, what are the measures of angles y and z, respectively?
58 and 122
122 and 58
122 and 122
122 and 122
Name the postulate, if possible, that makes the triangles congruent.
SAS
HL
SSA
Not possible to prove
Are the triangles similar? If so, why?
Yes. SSS~
No
Yes. AA~
Yes. ASA~
A line is dilated by a factor of 3.6 in which the center of the dilation is on the line. What is the result?
The dilation is parallel to the line and is 3.6 times longer.
The dilation is the line.
The dilation is a line that is 3.6 times longer.
The dilation becomes a point.
Find the length of segment DK for the points D(-3, -4) and K(3, 4).
0
14
10
100
Find the missing length indicated.
30
25
45
50
When two triangles share a side, what reason normally ends up in a proof of congruent triangles?
Vertical angles theorem
Alternate interior angles theorem
Definition of midpoint
Reflexive property
Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?
Yes. 1.5
Yes. ⅔
Yes. 2
No.
To construct a perpendicular bisector, your arcs must intersect how many times?
1
2
3
not at all
