congruent figures
similar figures
Triangle Trigonometry
Surface area and volume
probability
100

Which of the following shapes are congruent? (Show two identical triangles.) 


  • Triangles A and C
  • Triangles B and D
  • Triangles A and D 
  • Triangles A and B




Triangles A and B—they have the same size and shape with matching sides and angles.


100

Are these two rectangles similar if their sides are 4 cm by 8 cm and 6 cm by 12 cm?

  • No, their sides are not equal 
  • Yes, the side ratios are equal 
  • No, one is a square
  • Only if rotated



Yes, the side ratios are equal (1:2).


100

In a right triangle, identify the hypotenuse, opposite, and adjacent sides relative to angle A.

  • Hypotenuse is the shortest
  • Opposite and adjacent are the same 
  • Hypotenuse = longest side, Opposite = across from angle A, Adjacent = next to angle A.
  • Hypotenuse is always opposite


Hypotenuse = longest side, Opposite = across from angle A, Adjacent = next to angle A.


100

Find the surface area of a cube with side length 4 cm.


  • 64 cm²
  • 48 cm²
  • 100 cm² 
  • 96 cm²


96 cm². 


100

What is the probability of rolling a 3 on a six-sided die?


  • 1/3
  • 1/2
  • 1/4 
  • 1/6



1/6. One favorable outcome out of six.

200


Prove the two triangles are congruent: Triangle ABC and Triangle DEF where AB = DE, BC = EF, and ∠B = ∠E.


  • No, by AAA
  • Yes, by SSA
  • No, because angles don’t match 
  • Yes, by SAS (Side-Angle-Side). Two sides and the included angle are congruent.



Yes, by SAS (Side-Angle-Side). Two sides and the included angle are congruent.


200

In similar triangles, the small triangle has a side of 5 cm, and the corresponding side in the large triangle is 15 cm. If another side in the small triangle is 4 cm, what is the corresponding side in the large triangle?

  • 15 cm
  • 10 cm 
  • 12cm
  • 20 cm


12 cm. Scale factor = 3, so 4 × 3 = 12.


200

A right triangle has a leg of 3 units and a hypotenuse of 5 units. Find sin(θ).


  • 4/5 
  • 3/5
  • 5/9
  • 3/4


sin(θ) = 3/5. Opposite over hypotenuse.


200

Find the volume of a cone with radius 3 cm and height 4 cm.

  • 56.5 cm 
  • 37.7 cm³
  • 28.3 cm³
  • 45.1 cm³

 37.7 cm³


200

What is the probability of flipping two heads with two coins?


  • 1/2
  • 1/8
  • 1/3 
  • 1/4


1/4. Only HH out of four outcomes.


300

Triangle XYZ is congruent to triangle LMN. If ∠X = 40°, ∠Y = 60°, and side XY = 5 cm, what is the measure of ∠M and the length of side LM?


  • ∠M = 60°, LM = 4 cm
  • ∠M = 80°, LM = 10 cm 
  • ∠M = 40°, LM = 5 cm
  • ∠M = 50°, LM = 6 cm


∠M = 40°, LM = 5 cm. (Corresponding parts of congruent triangles are congruent.)




300

A map uses a scale of 1 inch = 5 miles. If two cities are 3 inches apart on the map, how far are they in real life?


  • 8 miles
  • 5 cm
  • 10 miles 
  • 15 miles 


15 miles. Multiply 3 × 5 = 15.


300

A ladder leans against a wall forming a 60° angle with the ground. The ladder is 10 ft long. 

How high does it reach on the wall?

  • 5 ft 
  • 8.66 ft
  • 7.5 ft
  • 10 in 

Use sin(60°) × 10.


 8.66 ft. 


300

A cylinder has radius 5 cm and height 10 cm. A cone with the same dimensions is removed. What is the volume of the remaining solid?


  • 261.8 cm³
  • 628.3 ml³
  • 785.4 in 
  • 523.6 cm³


 523.6cm3


300

iA bag has 3 red, 2 blue, and 5 green marbles. If you pick two without replacement, what’s the probability both are red?


  • 1/10
  • 2/9
  • 1/30 
  • 1/15


 1/15. 


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