✓ Checklist Performance Task
> Answer the questions and show all your work on separate paper.
A carpenter makes a model of a plywood ramp she plans to build as
part of the set for the school play. The length must be 24 times the
height, x, so that the ramp is not too steep. Once the ramp is built,
she will completely coat it with sealant to protect it. The ramp is in
the shape of a right triangular prism. An incomplete net for the
model is shown
Did you ..
IM Draw an accurate net?
M write an expression for
the surface area that
includes the area of
each face of the net?
Check your work to
make sure you
accurately calculated
the total surface area?
26xit
/2.6 x 5
56
xit
SA
ISA
2.45
2.txt
2,95
Help the carpenter finish her plans for the ramp.
2.45
• Draw and label a complete net for the model
• Write an expression that represents the surface area.
• Evaluate your expression to find the surface area when the height, x, is sit
Explain how you completed the net, how you used the net to write the expression
representing surface area, and how you used the expression to find surface area

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.