Triangle Similarities
Congruent Triangles
Finding missing parts of a triangle
Interior angles of shapes
Identifying Similar Triangles
100

In triangle ABC, with parallel lines WX and CB parallel to each other. AW = 4, AX = 2, WC = 10, and XB = x.

Find X

What is 5?

100

Triangle ABC has side lengths 5 4 2, and triangle XYZ has side lengths 5 4 2, are these triangles congruent? and if so, name the theorem used.

What is Side, Side, Side?

100

If Triangle ABC has exterior angle x across from interior angle c, and interior angle a is 30, interior angle b is 50, what is exterior angle x?

What is 30 Degrees?

100

What is the interior degree sum of a 3 sided shape?

What is 180 degrees?

100

If Triangle ABC is similar to Triangle XYZ, and they are inscribed in each other, sharing <ACB, and <XCY. XC is 3, and AC is 9. CB is 21, and ZY is 7. Are these two triangles similar, and if so, why?

What is Side, Angle, Side?

200

On Triangle ABC AB is 3, BC is 4, and AC is 5. On similar triangle XYZ, XY is 2. 

Find XZ

What is 3 1/3?

200

Triangles ABC, and XYZ, have angles and sides as marked, AB = XY, <ABC = XYZ, and BC = YZ,

Are these two triangles congruent? And if so why?

What is Side Angle Side?
200

If Triangle ABC has interior angle a as 99, b as 54, what is interior angle c?

What is 27 degrees?

200

What is the interior angles added together of a 5 sided shape?

What is 540 degrees?

200

Is Angle Side Angle enough to determine similar triangles?

What is yes?

300

On Triangle ABC, with parallel lines, WX, and YZ, parallel to BC, the base, side AC is 12, AW is 3, WY is 4. WX is 5. 

Find BC

*NOTE, Parallel lines are noted from left to right

What is 20?

300

Two triangles, ABC, and XYZ, share sides at AB/XY. They form a parallelogram where A/X---Z is parallel to C----B/Y, and A/X-----C is parallel to Z------B/Y . Are these two triangles congruent, and if so, give the theorem used.

What is Side, Side, Side; or, Side, Angle Side
300

If Triangle ABC has interior angle a as 3, b as 19, what is interior angle c?

What is 158 degrees?

300

What is the interior angles added together of a 8 sided shape?

What is 1080 degrees?

300

Is Side Side Angle enough enough to determine similar triangles?

What is no?

400

On Triangle ABC, with parallel line WX to CB, AC is 15, and AW is x. CB is 10. On Similar Triangle POV with JK parallel  to its base, PV is 20, KO is 5, and PK is 6.  

Find WX

What is 8 2/11, or 8.18 repeating?
400

Triangles ABC,  is similar to XYZ, with a shared side of AB, and XZ. They form a quadrilateral with angle CAB = YXZ, and Angle XYZ = ACB, are they congruent?

What is no?

400

If Triangle ABC has exterior angle x across from interior angle c, and interior angle a is 30, interior angle b is 50, what is exterior angle x?

What is 80 Degrees?

400

What is the interior angles added together of a 12 sided shape?

What is 1800 degrees?

400

Is Side Side Side enough to determine similar triangles?

What is yes?

500

In Triangle ABC, with AC = 10, and AB = x. Similar Triangle XYZ with parallel line BP to the base, has BP = 5, XB = 3, BZ = 4, XP = y, and PY = 8. 

Find CB, round to the nearest 100th

What is 9.52?
500

Two triangles, ABC, and XYZ, share side AB/XZ. Angles YXZ = CBA, and angles CAB = YZX. Are these triangles similar and if so, how?

What is Angle, Side, Side?

500

If a square is split into 4 equal sections, with the lines drawn through the corners, and the angle measure of the inside 4 angles are 360, and 1 angle from the middle is 90, what is the angle measurement of one of the split corners of the square?

What is 45 degrees?

500

What is the interior angles added together of a 121 sided shape? round to nearest whole number

What is 21,420 degrees?

500

If Triangle XYZ is inscribed in ABC, in such a way that they share one angle, <ACB = <XZY, and CX is 1/4 of AC, and ZY is 1/3 of CB, are these triangles similar, and if so why?

No, the sides are not proportional to each other, 1/4 is not the same as 1/3.

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