5.2 warmup

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If △GHI ~ △JKL, what can we conclude about their corresponding sides?

Back

The ratios of the lengths of corresponding sides of △GHI and △JKL are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the length of a side in a similar triangle?

Back

Use the proportion of the lengths of corresponding sides from the similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of triangle MNO are in the ratio 5:8 with triangle JKL, and the length of a side in triangle JKL is 32 cm, what is the corresponding side in triangle MNO?

Back

20 cm (5/8 = x/32, solving gives x = 20).

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If two triangles are similar, how does their area relate?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

What is the measure of the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If one angle of a triangle measures 60 degrees and the other measures 90 degrees, what is the measure of the third angle?

Back

30 degrees (180 - 60 - 90 = 30).

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides of a triangle and the angles opposite those sides?

Back

In a triangle, the larger the angle, the longer the side opposite it.

Tags

CCSS.HSG.CO.C.10

Front

If the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, is it a right triangle?

Back

Yes, because 3^2 + 4^2 = 5^2.

Tags

CCSS.8.G.B.8