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Congruence, Similar Figures, and all that Jazzzz
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Jack is 6 feet tall and casts 3-ft long shadow. A nearby palm tree casts a 15-ft long shadow. What is the height, h, of the palm tree?
30 feet
Fill in the blank question. The polygons are similar. Determine the value of x.
12
Fill in the blank question. Triangles ABC and DEF are similar. What is the measure of angle E?
35 degrees
A tree in the school yard casts a 60-inch shadow at the same time a nearby student casts a 17-inch shadow. If the student is 68 inches tall, how many feet tall is the tree?
240 inches
The quadrilaterals shown are similar. Find the missing side measure, x, in units.
18 units
Find the missing angle measures, then provide the corresponding angles.
angle A is congruent to angle X, angle B is congruent to angle Y, angle C is congruent to angle Z,
A flagpole casts an 18-ft long shadow at the same time a 5-ft tall boy casts a 3-ft long shadow. What is the height of the flagpole?
30 feet
The following figures are similar. Determine the value of x.
8
Tonya's teacher asked her to draw two figures that are similar. She drew the following two figures and said that they were similar. Are they similar?
No
Are the triangles similar?
No
Caleb wants to swim across the lake shown. If triangle JKL is similar to triangle NML, what is the length of JK, the distance across the lake?
41 feet
The two triangles are similar. Which of the following sequences maps ABC onto PQR?
Reflection over the y axis, translation up
Describe the sequence of transformations that maps ABCD onto JKLM.
Reflection over x-axis, translate right
Are the figures congruent?
Yes
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