Chapter 5-6 Study Guide
Triangle Congruency
Name ______________________________
Period _________
Except for graphing use a separate sheet of paper
1) Complete each transformation on the graph provided.
Rotate 90 ̊ CCW
Rotate 90 ̊ CW
Rotate 180 ̊
Rotate 270 ̊ CW
Slide 3 left
Slide 2 up
Slide 3 Right & 2 Down
Slide down 4
Reflect over x=1
Reflect over y=-2
Reflect over x=y
Reflect over x-axis
̅̅̅̅ goes between A(-2,4) and B(3,7). Find the new coordinates after a dilation of 2.
Given 𝑨𝑩
2) List the 5 types of triangle congruency and sketch a picture of each
_______________, _______________, _______________, _______________, & _______________
3) Fill in the blank with either a <, =, or > symbol.
4) Write a two column proof for each figure. (Justify each step and annotate the figure)
5) Solve for x & y in each of the figures then plug back in to find missing measures.
6) Decide if the triangles are congruent. If they are provide the ≅ type.
7) Given the conditional statement. Write the converse, inverse, and contrapositive.
If you eat breakfast, then you will feel better at school.
Converse: ____________________________________________________________________________
Inverse:______________________________________________________________________________
Contrapositive:________________________________________________________________________
If two angles are supplementary, then their sum is 180°.
Converse: ____________________________________________________________________________
Inverse:______________________________________________________________________________
Contrapositive:________________________________________________________________________
If it is Saturday, then school is closed.
Converse: ____________________________________________________________________________
Inverse:______________________________________________________________________________
Contrapositive:________________________________________________________________________
8) Solve for x
9) Evaluate the fraction
−𝟔(𝒙 − 𝟓) + 𝟓 = 𝟐𝟗
a)
𝟕𝒙 − 𝟓𝒙 + 𝟐𝒙 = 𝟐𝟒
a)
𝟏𝟏
𝟐
𝟏𝟏
𝟐
𝟒
+ =
𝟕
𝟒
− =
𝟕
b)
b)
𝟏 𝟓
∙ =
𝟖 𝟑
𝟏
𝟖
𝟓
÷ =
𝟑