Similar Figures
Congruent Figures
Scale Factors
Scale Drawings
General Geometry
100
Are these two figures similar?
Yes
100
True or False: If two triangles have all the same side lengths, they are congruent.
True.
100
True or False: A scale factor that enlarges a figure will always be greater than 1.
True
100
What does a scale drawing show?
A smaller or larger version of an object, keeping the same proportions.
100
What is the sum of the angles in a triangle?
180°
200
What does similarity mean in geometry?
In geometry, "similar" means two figures have the same shape but not necessarily the same size
200
What does congruent mean in geometry?
Two shapes are congruent if they are exactly the same shape and size.
200
What does scale factor mean in geometry?
A scale factor is the ratio of the lengths of corresponding sides of two similar figures, representing how much larger or smaller the second figure is compared to the first
200
If a scale drawing is made at a scale of 1:50, what does 1cm on the drawing represent in real life?
50cm
200
How many lines of symmetry does a regular hexagon have?
6
300
Which shape is similar to the one on the left?
Third
300
Which of the two following are congruent?
A & B
300
What is the scale factor used to enlarge △PRQ to △SUT?
SF = 3/2
300
This line was measured to be 6.4cm. Find the actual length of the line.
640km
300
Find the missing angle:
140°
400
Which two triangles are similar?
A & B
400
Name one transformation that can show two figures are congruent.
Translation, reflection or rotation
400
Find x
x = 7.5cm
400
A map has a scale of 1cm equals 50m. Which scale below represents this?
1:5000
400
What would you call a two dimensional object with 7 sides?
Heptagon
500
Explain why corresponding angles in similar figures are always equal, but corresponding sides are proportional instead of equal.
Corresponding angles are equal because similarity preserves angle measures (shape), but corresponding sides are proportional because the figures can be different sizes (scale), so side lengths change by the scale factor while keeping the same shape.
500
△DEF as all sides are equal
△GHI as two angles and a side are equal
Not enough information for △JKL
500
Find x and y
x = 10.5cm
y = 2cm
500
A map uses a scale of 1:25,000. Two towns are 12cm apart on the map. What is the actual distance between the towns in kilometres?
12cm × 25,000 = 300,000cm = 3,000m = 3km
500
What is the formula for calculating the volume of a cylinder?
