Triangle Proportionality Theorem Warmup

Find the value of x.

• 10

• 35

• 8

• None of these

Answer explanation

To find the value of x, we can solve the equation provided. After performing the necessary calculations, we find that x equals 10, which matches one of the answer choices.

Tags

CCSS.HSG.SRT.B.4

Find the value of x.

• 6

• 12

• 8

• None of these

Answer explanation

To find the value of x, we can set up an equation based on the problem context. Solving it leads us to x = 6, which matches one of the answer choices.

Tags

CCSS.HSG.SRT.B.4

Solve the proportion.

• p=31.3

• p=308

• p=924

• p=532

Answer explanation

To solve the proportion, set up the equation and cross-multiply. After simplifying, you find p = 308. Thus, the correct answer is p=308.

Tags

CCSS.7.RP.A.2C

Find the missing length indicated. 

• 16

• 8

• 10

• 14

Answer explanation

To find the missing length, we can use the properties of a geometric shape or apply the Pythagorean theorem if applicable. The correct choice is 10, as it fits the criteria based on the given dimensions.

Tags

CCSS.HSG.SRT.B.4

Answer explanation

In similar triangles UVYW and PRSQ, corresponding angles are congruent. Thus, \angle V \cong \angle Q, \angle W \cong \angle P, \angle U \cong \angle S, and \angle Y \cong \angle R.

Tags

CCSS.HSG.SRT.A.2

Answer explanation

The proportion \( \frac{GK}{HK} = \frac{GL}{LJ} \) shows that the segments are proportional, which is a condition for proving that lines \( HJ \parallel KL \). This is the correct choice.

Tags

CCSS.HSG.SRT.B.4

Select the proportion that shows the Triangle Proportionality Theorem.

Answer explanation

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. The correct choice, \(\frac{6}{21}=\frac{7}{x}\), reflects this proportionality.

Tags

CCSS.HSG.SRT.B.4