Free Printable Overlapping Triangle

Worksheets

Overlapping Triangle

Total questions: 14

Worksheet time: 14mins

Name

Class

Date

Name a pair of overlapping triangles and state how you can prove they are congruent.

∆AQT ≅ ∆SQT by SAS

∆TAR ≅ ∆TSP by AAS

∆TAR ≅ ∆TSP by ASA

∆AQT ≅ ∆SQT by SSA

Name a side or angle that is overlapping.

∠Y

Use the Exterior Angle Theorem to find the value of x.

117

149

Identify any common angles or sides.

$\overline{JK}$

Angle MJK

$\overline{KL}$

Angle MKJ

Angles 14 and 6 are

alternate interior and congruent

alternate exterior and congruent

corresponding and congruent

consecutive interior and congruent

Triangles BDC and CEB share side _____ .

$\overline{AB}$

$\overline{EB}$

$\overline{CB}$

$\overline{CD}$

ΔKNM is congruent to ΔPLM. They have _______ in common.

Angle M

Angle P

Angle K

Angle MLP

The red and blue triangles are congruent. Identify a common side or angle.

Side DF

Angle E

Angle G

Angle GDE

The red and blue triangles are congruent. Identify a common side or angle.

Side XY

Side XZ

Angle TWZ

Side YT

10.

Find the value of x.

x = 27

x = 53

x = 49

x = -16

11.

Find the measure of $\angle\ B$

12.

Use the Third Angles Theorem to find the value of x.

x = 60

x = 55

x = 15

x = 65

13.

Solve for x.

x = 10

x = 4

x = 5

x = 39

14.

CDG and △FCE share ______ .

∠C

∠E

∠F

∠D

100 %

Overlapping Triangle

Total questions: 14

Worksheet time: 14mins

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